measurement conversions, percents, percent applications...

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Page 1 -- CCM6 Unit 9 –Measurement Conversions, Percents, Percent Applications 1 UNIT 9 2016-17 Percents and Measurement Conversions CCM6 Name: ________________ Math Teacher:___________ Projected Test Date:_____ Topic Page # Unit 9 Vocabulary 2 Use Equivalent Ratios to Convert Between Metric Measurements 3-4 Use Equivalent Ratios to Convert Between Customary Measurements 5-8 Use Equivalent Rates to Convert Between Customary and Metric Measurements 9-10 Understand Percent 11-12 Convert between Percents, Fractions and Decimals 13-14 Find Percent of a Number 15-17 Percent Applications (including Taxes, Tips, and Discounts) 18-23 Unit 9 Study Guide 24-25

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Page 1: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 1 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

1

UNIT 9 2016-17

Percents and Measurement Conversions

CCM6

Name ________________

Math Teacher___________

Projected Test Date_____

Topic Page Unit 9 Vocabulary 2

Use Equivalent Ratios to Convert Between Metric

Measurements

3-4

Use Equivalent Ratios to Convert Between Customary

Measurements

5-8

Use Equivalent Rates to Convert Between Customary and

Metric Measurements

9-10

Understand Percent 11-12

Convert between Percents Fractions and Decimals 13-14

Find Percent of a Number 15-17

Percent Applications (including Taxes Tips and Discounts) 18-23

Unit 9 Study Guide 24-25

Page 2 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

2

Unit 9 Vocabulary

cent a cent is equivalent to 1100 of a dollar in US circulation

cross product the product of numbers on the diagonal when comparing two ratios

Customary

System

a system of measurement used in the US The system includes units for measuring

length capacity and weight

discount the amount of decrease in price

Metric System a system of measurement based on tens The basic unit of capacity is the liter The

basic unit of length is meter The basic unit of mass is the gram

percent ratio that compares a number to 100

Tax a percent of the cost of an item added to the initial bill

Tip the amount of money added to a bill for service usually a percent of the bill

Page 3 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

3

Use Equivalent Ratios to Convert within the Metric System

Page 4 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

4

HW

Page 5 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

5

Converting between Customary Measures using Equivalent Ratios

WARMUP

Page 6 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

6

Warmup Contrsquod

Page 7 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

7

MEASURES Within the CUSTOMARY SYSTEM

Customary Units of Length

1 foot (ft) = ________ inches (in)

1 yard (yd) = ________ ft = _______ yd

1 mile (mi) = ________ ft = _______ yd

Customary Units of Weight

1 pound (lb) = ________ ounces (oz)

1 ton = ______ lbs = __________ oz

Customary Units of Capacity

1 cup (c) = _____ fluid ounces (fl oz)

1 pint (pt) = _____c = _____fl oz

1 quart (qt) = _____ pt = ____ c = _____ fl oz

1 gallon (gal) = _____ qt = ____ pt = ____ c =_______fl

oz

What tricks have you learned in the

past to help you remember these

12 in = 1 ft

16 oz = 1 lb

2 c = 1 pt

3 ft = 1 yd 2000 lb = 1 t 2 pt = 1 qt

4 qt = 1 gal

You can use equal ratios to convert between customary problemshellip

Example 1

72 in = ________yd

divide 2

Set up 2 equal ratios 72 119894119899

119910119889=

36 119894119899

1 119910119889

Work it out bull 2

Example 2

12 qt = ________ gal

Set up 2 equal ratios 12 119902119905

119892119886119897=

4 119902119905

1 119892119886119897

Page 8 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

8

Day 7 Practice with Converting Customary MeasureshellipSet up two equal ratios

1a 10 T = __________ lb 1 T = 10 T

2000lb

1b 4 mi = ___________ ft

2a 32 oz = _____ qt

2b 128 oz = _____ qt

3a 14 C = _____ pt

3b 112 oz = _____ lb

4a 2000 lb = _____ T

4b 1 lb = ________ oz

5a 56 oz = _____ C

5b 1 mi = ___________ ft

6a 4 gal = ______ oz

6b 4 gal = ______ qt

7a 132 in = ______ ft

7b 144 in = ______ ft

8a 7 T = __________ lb

8b 3 mi = ___________ ft

9a 2 mi = ___________ ft

9b 8000 lb = _____ T

Page 9 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

9

Converting between Metric and Customary

Set up two equal ratios and find the missing piece Use the conversion charts below

METRIC to CUSTOMARY CUSTOMARY to METRIC

Now letrsquos try some

a) 5 inches = _________cm We are converting from inches to cm so use the chart on the _____

1 119894119899119888ℎ

254 119888119898=

5 119894119899119888ℎ119890119904

119909

b) 8 km = ________mi We are converting from km to mi so use the chart on the _________

1 119896119898

0621 119898119894=

8 119896119898

119909

c) 18 g = ________ oz Use the chart to the ______________

_______ = _______

d) 35 qt = ______L Use the chart to the ______________

_______=_______

Page 10 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

10

HW

METRIC to CUSTOMARY CUSTOMARY to METRIC

1) 16 in = ____________cm 2) 345 lb = __________kg 3) 56 g = ___________oz

4) 450 km = ____________mi 5) 1200 mL =__________fl oz 6) 40 m = ____________ft

7) Penny has a pencil that is 19 cm long How long is this pencil in inches

8) A cookie recipe (1 batch) calls for 1 lb of butter How many grams of butter would be in 3

batches

Page 11 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

11

Page 12 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

12

Page 13 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

13

Converting between percents fractions and decimals Percent to Decimal Examples

To convert a percent to a

decimal just divide by 100hellipor

move the decimal place two to

the left

In a decimal the point is after

the __________place

In a percent the point is after

the _______________place

1) 50 = ________

2) 82 = ________

3) 125 = ________

4) 101 = ________

5) Why is it okay to have a

percent over 100

Decimal to Percent Examples

To move the decimal from the

ones place to the hundredths

place either

1) move the decimal 2 places

right (so it is after the

______________ place)

2) multiply by 100 to move the

decimal two places right

1) 022 = _______

2) 02 = _______

3) 20 = _______

Percent to Fraction Examples

Since a percent is a value out of

100 type it in as a fraction over

100 and hit enter Or put it over

100 and simplify like normal

1) 32 = _______

2) 8 = ________

3) 125 = _______

Fraction to Percent Examples

To turn a fraction into a percent

simply multiply by 100 Or

make an equal ratio that has a

denominator of 100

1) 3

5 = ________

2) 3

4 = ________

3) 17

10 = ________

If your answer is a

percent you must put

the percent symbol

Page 14 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

14

120784120785

120783120782120782

120789

120783120782120782

120782 120783120788

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 2: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 2 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

2

Unit 9 Vocabulary

cent a cent is equivalent to 1100 of a dollar in US circulation

cross product the product of numbers on the diagonal when comparing two ratios

Customary

System

a system of measurement used in the US The system includes units for measuring

length capacity and weight

discount the amount of decrease in price

Metric System a system of measurement based on tens The basic unit of capacity is the liter The

basic unit of length is meter The basic unit of mass is the gram

percent ratio that compares a number to 100

Tax a percent of the cost of an item added to the initial bill

Tip the amount of money added to a bill for service usually a percent of the bill

Page 3 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

3

Use Equivalent Ratios to Convert within the Metric System

Page 4 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

4

HW

Page 5 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

5

Converting between Customary Measures using Equivalent Ratios

WARMUP

Page 6 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

6

Warmup Contrsquod

Page 7 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

7

MEASURES Within the CUSTOMARY SYSTEM

Customary Units of Length

1 foot (ft) = ________ inches (in)

1 yard (yd) = ________ ft = _______ yd

1 mile (mi) = ________ ft = _______ yd

Customary Units of Weight

1 pound (lb) = ________ ounces (oz)

1 ton = ______ lbs = __________ oz

Customary Units of Capacity

1 cup (c) = _____ fluid ounces (fl oz)

1 pint (pt) = _____c = _____fl oz

1 quart (qt) = _____ pt = ____ c = _____ fl oz

1 gallon (gal) = _____ qt = ____ pt = ____ c =_______fl

oz

What tricks have you learned in the

past to help you remember these

12 in = 1 ft

16 oz = 1 lb

2 c = 1 pt

3 ft = 1 yd 2000 lb = 1 t 2 pt = 1 qt

4 qt = 1 gal

You can use equal ratios to convert between customary problemshellip

Example 1

72 in = ________yd

divide 2

Set up 2 equal ratios 72 119894119899

119910119889=

36 119894119899

1 119910119889

Work it out bull 2

Example 2

12 qt = ________ gal

Set up 2 equal ratios 12 119902119905

119892119886119897=

4 119902119905

1 119892119886119897

Page 8 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

8

Day 7 Practice with Converting Customary MeasureshellipSet up two equal ratios

1a 10 T = __________ lb 1 T = 10 T

2000lb

1b 4 mi = ___________ ft

2a 32 oz = _____ qt

2b 128 oz = _____ qt

3a 14 C = _____ pt

3b 112 oz = _____ lb

4a 2000 lb = _____ T

4b 1 lb = ________ oz

5a 56 oz = _____ C

5b 1 mi = ___________ ft

6a 4 gal = ______ oz

6b 4 gal = ______ qt

7a 132 in = ______ ft

7b 144 in = ______ ft

8a 7 T = __________ lb

8b 3 mi = ___________ ft

9a 2 mi = ___________ ft

9b 8000 lb = _____ T

Page 9 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

9

Converting between Metric and Customary

Set up two equal ratios and find the missing piece Use the conversion charts below

METRIC to CUSTOMARY CUSTOMARY to METRIC

Now letrsquos try some

a) 5 inches = _________cm We are converting from inches to cm so use the chart on the _____

1 119894119899119888ℎ

254 119888119898=

5 119894119899119888ℎ119890119904

119909

b) 8 km = ________mi We are converting from km to mi so use the chart on the _________

1 119896119898

0621 119898119894=

8 119896119898

119909

c) 18 g = ________ oz Use the chart to the ______________

_______ = _______

d) 35 qt = ______L Use the chart to the ______________

_______=_______

Page 10 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

10

HW

METRIC to CUSTOMARY CUSTOMARY to METRIC

1) 16 in = ____________cm 2) 345 lb = __________kg 3) 56 g = ___________oz

4) 450 km = ____________mi 5) 1200 mL =__________fl oz 6) 40 m = ____________ft

7) Penny has a pencil that is 19 cm long How long is this pencil in inches

8) A cookie recipe (1 batch) calls for 1 lb of butter How many grams of butter would be in 3

batches

Page 11 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

11

Page 12 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

12

Page 13 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

13

Converting between percents fractions and decimals Percent to Decimal Examples

To convert a percent to a

decimal just divide by 100hellipor

move the decimal place two to

the left

In a decimal the point is after

the __________place

In a percent the point is after

the _______________place

1) 50 = ________

2) 82 = ________

3) 125 = ________

4) 101 = ________

5) Why is it okay to have a

percent over 100

Decimal to Percent Examples

To move the decimal from the

ones place to the hundredths

place either

1) move the decimal 2 places

right (so it is after the

______________ place)

2) multiply by 100 to move the

decimal two places right

1) 022 = _______

2) 02 = _______

3) 20 = _______

Percent to Fraction Examples

Since a percent is a value out of

100 type it in as a fraction over

100 and hit enter Or put it over

100 and simplify like normal

1) 32 = _______

2) 8 = ________

3) 125 = _______

Fraction to Percent Examples

To turn a fraction into a percent

simply multiply by 100 Or

make an equal ratio that has a

denominator of 100

1) 3

5 = ________

2) 3

4 = ________

3) 17

10 = ________

If your answer is a

percent you must put

the percent symbol

Page 14 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

14

120784120785

120783120782120782

120789

120783120782120782

120782 120783120788

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 3: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 3 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

3

Use Equivalent Ratios to Convert within the Metric System

Page 4 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

4

HW

Page 5 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

5

Converting between Customary Measures using Equivalent Ratios

WARMUP

Page 6 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

6

Warmup Contrsquod

Page 7 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

7

MEASURES Within the CUSTOMARY SYSTEM

Customary Units of Length

1 foot (ft) = ________ inches (in)

1 yard (yd) = ________ ft = _______ yd

1 mile (mi) = ________ ft = _______ yd

Customary Units of Weight

1 pound (lb) = ________ ounces (oz)

1 ton = ______ lbs = __________ oz

Customary Units of Capacity

1 cup (c) = _____ fluid ounces (fl oz)

1 pint (pt) = _____c = _____fl oz

1 quart (qt) = _____ pt = ____ c = _____ fl oz

1 gallon (gal) = _____ qt = ____ pt = ____ c =_______fl

oz

What tricks have you learned in the

past to help you remember these

12 in = 1 ft

16 oz = 1 lb

2 c = 1 pt

3 ft = 1 yd 2000 lb = 1 t 2 pt = 1 qt

4 qt = 1 gal

You can use equal ratios to convert between customary problemshellip

Example 1

72 in = ________yd

divide 2

Set up 2 equal ratios 72 119894119899

119910119889=

36 119894119899

1 119910119889

Work it out bull 2

Example 2

12 qt = ________ gal

Set up 2 equal ratios 12 119902119905

119892119886119897=

4 119902119905

1 119892119886119897

Page 8 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

8

Day 7 Practice with Converting Customary MeasureshellipSet up two equal ratios

1a 10 T = __________ lb 1 T = 10 T

2000lb

1b 4 mi = ___________ ft

2a 32 oz = _____ qt

2b 128 oz = _____ qt

3a 14 C = _____ pt

3b 112 oz = _____ lb

4a 2000 lb = _____ T

4b 1 lb = ________ oz

5a 56 oz = _____ C

5b 1 mi = ___________ ft

6a 4 gal = ______ oz

6b 4 gal = ______ qt

7a 132 in = ______ ft

7b 144 in = ______ ft

8a 7 T = __________ lb

8b 3 mi = ___________ ft

9a 2 mi = ___________ ft

9b 8000 lb = _____ T

Page 9 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

9

Converting between Metric and Customary

Set up two equal ratios and find the missing piece Use the conversion charts below

METRIC to CUSTOMARY CUSTOMARY to METRIC

Now letrsquos try some

a) 5 inches = _________cm We are converting from inches to cm so use the chart on the _____

1 119894119899119888ℎ

254 119888119898=

5 119894119899119888ℎ119890119904

119909

b) 8 km = ________mi We are converting from km to mi so use the chart on the _________

1 119896119898

0621 119898119894=

8 119896119898

119909

c) 18 g = ________ oz Use the chart to the ______________

_______ = _______

d) 35 qt = ______L Use the chart to the ______________

_______=_______

Page 10 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

10

HW

METRIC to CUSTOMARY CUSTOMARY to METRIC

1) 16 in = ____________cm 2) 345 lb = __________kg 3) 56 g = ___________oz

4) 450 km = ____________mi 5) 1200 mL =__________fl oz 6) 40 m = ____________ft

7) Penny has a pencil that is 19 cm long How long is this pencil in inches

8) A cookie recipe (1 batch) calls for 1 lb of butter How many grams of butter would be in 3

batches

Page 11 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

11

Page 12 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

12

Page 13 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

13

Converting between percents fractions and decimals Percent to Decimal Examples

To convert a percent to a

decimal just divide by 100hellipor

move the decimal place two to

the left

In a decimal the point is after

the __________place

In a percent the point is after

the _______________place

1) 50 = ________

2) 82 = ________

3) 125 = ________

4) 101 = ________

5) Why is it okay to have a

percent over 100

Decimal to Percent Examples

To move the decimal from the

ones place to the hundredths

place either

1) move the decimal 2 places

right (so it is after the

______________ place)

2) multiply by 100 to move the

decimal two places right

1) 022 = _______

2) 02 = _______

3) 20 = _______

Percent to Fraction Examples

Since a percent is a value out of

100 type it in as a fraction over

100 and hit enter Or put it over

100 and simplify like normal

1) 32 = _______

2) 8 = ________

3) 125 = _______

Fraction to Percent Examples

To turn a fraction into a percent

simply multiply by 100 Or

make an equal ratio that has a

denominator of 100

1) 3

5 = ________

2) 3

4 = ________

3) 17

10 = ________

If your answer is a

percent you must put

the percent symbol

Page 14 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

14

120784120785

120783120782120782

120789

120783120782120782

120782 120783120788

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 4: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 4 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

4

HW

Page 5 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

5

Converting between Customary Measures using Equivalent Ratios

WARMUP

Page 6 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

6

Warmup Contrsquod

Page 7 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

7

MEASURES Within the CUSTOMARY SYSTEM

Customary Units of Length

1 foot (ft) = ________ inches (in)

1 yard (yd) = ________ ft = _______ yd

1 mile (mi) = ________ ft = _______ yd

Customary Units of Weight

1 pound (lb) = ________ ounces (oz)

1 ton = ______ lbs = __________ oz

Customary Units of Capacity

1 cup (c) = _____ fluid ounces (fl oz)

1 pint (pt) = _____c = _____fl oz

1 quart (qt) = _____ pt = ____ c = _____ fl oz

1 gallon (gal) = _____ qt = ____ pt = ____ c =_______fl

oz

What tricks have you learned in the

past to help you remember these

12 in = 1 ft

16 oz = 1 lb

2 c = 1 pt

3 ft = 1 yd 2000 lb = 1 t 2 pt = 1 qt

4 qt = 1 gal

You can use equal ratios to convert between customary problemshellip

Example 1

72 in = ________yd

divide 2

Set up 2 equal ratios 72 119894119899

119910119889=

36 119894119899

1 119910119889

Work it out bull 2

Example 2

12 qt = ________ gal

Set up 2 equal ratios 12 119902119905

119892119886119897=

4 119902119905

1 119892119886119897

Page 8 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

8

Day 7 Practice with Converting Customary MeasureshellipSet up two equal ratios

1a 10 T = __________ lb 1 T = 10 T

2000lb

1b 4 mi = ___________ ft

2a 32 oz = _____ qt

2b 128 oz = _____ qt

3a 14 C = _____ pt

3b 112 oz = _____ lb

4a 2000 lb = _____ T

4b 1 lb = ________ oz

5a 56 oz = _____ C

5b 1 mi = ___________ ft

6a 4 gal = ______ oz

6b 4 gal = ______ qt

7a 132 in = ______ ft

7b 144 in = ______ ft

8a 7 T = __________ lb

8b 3 mi = ___________ ft

9a 2 mi = ___________ ft

9b 8000 lb = _____ T

Page 9 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

9

Converting between Metric and Customary

Set up two equal ratios and find the missing piece Use the conversion charts below

METRIC to CUSTOMARY CUSTOMARY to METRIC

Now letrsquos try some

a) 5 inches = _________cm We are converting from inches to cm so use the chart on the _____

1 119894119899119888ℎ

254 119888119898=

5 119894119899119888ℎ119890119904

119909

b) 8 km = ________mi We are converting from km to mi so use the chart on the _________

1 119896119898

0621 119898119894=

8 119896119898

119909

c) 18 g = ________ oz Use the chart to the ______________

_______ = _______

d) 35 qt = ______L Use the chart to the ______________

_______=_______

Page 10 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

10

HW

METRIC to CUSTOMARY CUSTOMARY to METRIC

1) 16 in = ____________cm 2) 345 lb = __________kg 3) 56 g = ___________oz

4) 450 km = ____________mi 5) 1200 mL =__________fl oz 6) 40 m = ____________ft

7) Penny has a pencil that is 19 cm long How long is this pencil in inches

8) A cookie recipe (1 batch) calls for 1 lb of butter How many grams of butter would be in 3

batches

Page 11 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

11

Page 12 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

12

Page 13 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

13

Converting between percents fractions and decimals Percent to Decimal Examples

To convert a percent to a

decimal just divide by 100hellipor

move the decimal place two to

the left

In a decimal the point is after

the __________place

In a percent the point is after

the _______________place

1) 50 = ________

2) 82 = ________

3) 125 = ________

4) 101 = ________

5) Why is it okay to have a

percent over 100

Decimal to Percent Examples

To move the decimal from the

ones place to the hundredths

place either

1) move the decimal 2 places

right (so it is after the

______________ place)

2) multiply by 100 to move the

decimal two places right

1) 022 = _______

2) 02 = _______

3) 20 = _______

Percent to Fraction Examples

Since a percent is a value out of

100 type it in as a fraction over

100 and hit enter Or put it over

100 and simplify like normal

1) 32 = _______

2) 8 = ________

3) 125 = _______

Fraction to Percent Examples

To turn a fraction into a percent

simply multiply by 100 Or

make an equal ratio that has a

denominator of 100

1) 3

5 = ________

2) 3

4 = ________

3) 17

10 = ________

If your answer is a

percent you must put

the percent symbol

Page 14 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

14

120784120785

120783120782120782

120789

120783120782120782

120782 120783120788

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 5: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 5 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

5

Converting between Customary Measures using Equivalent Ratios

WARMUP

Page 6 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

6

Warmup Contrsquod

Page 7 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

7

MEASURES Within the CUSTOMARY SYSTEM

Customary Units of Length

1 foot (ft) = ________ inches (in)

1 yard (yd) = ________ ft = _______ yd

1 mile (mi) = ________ ft = _______ yd

Customary Units of Weight

1 pound (lb) = ________ ounces (oz)

1 ton = ______ lbs = __________ oz

Customary Units of Capacity

1 cup (c) = _____ fluid ounces (fl oz)

1 pint (pt) = _____c = _____fl oz

1 quart (qt) = _____ pt = ____ c = _____ fl oz

1 gallon (gal) = _____ qt = ____ pt = ____ c =_______fl

oz

What tricks have you learned in the

past to help you remember these

12 in = 1 ft

16 oz = 1 lb

2 c = 1 pt

3 ft = 1 yd 2000 lb = 1 t 2 pt = 1 qt

4 qt = 1 gal

You can use equal ratios to convert between customary problemshellip

Example 1

72 in = ________yd

divide 2

Set up 2 equal ratios 72 119894119899

119910119889=

36 119894119899

1 119910119889

Work it out bull 2

Example 2

12 qt = ________ gal

Set up 2 equal ratios 12 119902119905

119892119886119897=

4 119902119905

1 119892119886119897

Page 8 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

8

Day 7 Practice with Converting Customary MeasureshellipSet up two equal ratios

1a 10 T = __________ lb 1 T = 10 T

2000lb

1b 4 mi = ___________ ft

2a 32 oz = _____ qt

2b 128 oz = _____ qt

3a 14 C = _____ pt

3b 112 oz = _____ lb

4a 2000 lb = _____ T

4b 1 lb = ________ oz

5a 56 oz = _____ C

5b 1 mi = ___________ ft

6a 4 gal = ______ oz

6b 4 gal = ______ qt

7a 132 in = ______ ft

7b 144 in = ______ ft

8a 7 T = __________ lb

8b 3 mi = ___________ ft

9a 2 mi = ___________ ft

9b 8000 lb = _____ T

Page 9 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

9

Converting between Metric and Customary

Set up two equal ratios and find the missing piece Use the conversion charts below

METRIC to CUSTOMARY CUSTOMARY to METRIC

Now letrsquos try some

a) 5 inches = _________cm We are converting from inches to cm so use the chart on the _____

1 119894119899119888ℎ

254 119888119898=

5 119894119899119888ℎ119890119904

119909

b) 8 km = ________mi We are converting from km to mi so use the chart on the _________

1 119896119898

0621 119898119894=

8 119896119898

119909

c) 18 g = ________ oz Use the chart to the ______________

_______ = _______

d) 35 qt = ______L Use the chart to the ______________

_______=_______

Page 10 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

10

HW

METRIC to CUSTOMARY CUSTOMARY to METRIC

1) 16 in = ____________cm 2) 345 lb = __________kg 3) 56 g = ___________oz

4) 450 km = ____________mi 5) 1200 mL =__________fl oz 6) 40 m = ____________ft

7) Penny has a pencil that is 19 cm long How long is this pencil in inches

8) A cookie recipe (1 batch) calls for 1 lb of butter How many grams of butter would be in 3

batches

Page 11 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

11

Page 12 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

12

Page 13 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

13

Converting between percents fractions and decimals Percent to Decimal Examples

To convert a percent to a

decimal just divide by 100hellipor

move the decimal place two to

the left

In a decimal the point is after

the __________place

In a percent the point is after

the _______________place

1) 50 = ________

2) 82 = ________

3) 125 = ________

4) 101 = ________

5) Why is it okay to have a

percent over 100

Decimal to Percent Examples

To move the decimal from the

ones place to the hundredths

place either

1) move the decimal 2 places

right (so it is after the

______________ place)

2) multiply by 100 to move the

decimal two places right

1) 022 = _______

2) 02 = _______

3) 20 = _______

Percent to Fraction Examples

Since a percent is a value out of

100 type it in as a fraction over

100 and hit enter Or put it over

100 and simplify like normal

1) 32 = _______

2) 8 = ________

3) 125 = _______

Fraction to Percent Examples

To turn a fraction into a percent

simply multiply by 100 Or

make an equal ratio that has a

denominator of 100

1) 3

5 = ________

2) 3

4 = ________

3) 17

10 = ________

If your answer is a

percent you must put

the percent symbol

Page 14 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

14

120784120785

120783120782120782

120789

120783120782120782

120782 120783120788

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 6: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 6 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

6

Warmup Contrsquod

Page 7 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

7

MEASURES Within the CUSTOMARY SYSTEM

Customary Units of Length

1 foot (ft) = ________ inches (in)

1 yard (yd) = ________ ft = _______ yd

1 mile (mi) = ________ ft = _______ yd

Customary Units of Weight

1 pound (lb) = ________ ounces (oz)

1 ton = ______ lbs = __________ oz

Customary Units of Capacity

1 cup (c) = _____ fluid ounces (fl oz)

1 pint (pt) = _____c = _____fl oz

1 quart (qt) = _____ pt = ____ c = _____ fl oz

1 gallon (gal) = _____ qt = ____ pt = ____ c =_______fl

oz

What tricks have you learned in the

past to help you remember these

12 in = 1 ft

16 oz = 1 lb

2 c = 1 pt

3 ft = 1 yd 2000 lb = 1 t 2 pt = 1 qt

4 qt = 1 gal

You can use equal ratios to convert between customary problemshellip

Example 1

72 in = ________yd

divide 2

Set up 2 equal ratios 72 119894119899

119910119889=

36 119894119899

1 119910119889

Work it out bull 2

Example 2

12 qt = ________ gal

Set up 2 equal ratios 12 119902119905

119892119886119897=

4 119902119905

1 119892119886119897

Page 8 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

8

Day 7 Practice with Converting Customary MeasureshellipSet up two equal ratios

1a 10 T = __________ lb 1 T = 10 T

2000lb

1b 4 mi = ___________ ft

2a 32 oz = _____ qt

2b 128 oz = _____ qt

3a 14 C = _____ pt

3b 112 oz = _____ lb

4a 2000 lb = _____ T

4b 1 lb = ________ oz

5a 56 oz = _____ C

5b 1 mi = ___________ ft

6a 4 gal = ______ oz

6b 4 gal = ______ qt

7a 132 in = ______ ft

7b 144 in = ______ ft

8a 7 T = __________ lb

8b 3 mi = ___________ ft

9a 2 mi = ___________ ft

9b 8000 lb = _____ T

Page 9 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

9

Converting between Metric and Customary

Set up two equal ratios and find the missing piece Use the conversion charts below

METRIC to CUSTOMARY CUSTOMARY to METRIC

Now letrsquos try some

a) 5 inches = _________cm We are converting from inches to cm so use the chart on the _____

1 119894119899119888ℎ

254 119888119898=

5 119894119899119888ℎ119890119904

119909

b) 8 km = ________mi We are converting from km to mi so use the chart on the _________

1 119896119898

0621 119898119894=

8 119896119898

119909

c) 18 g = ________ oz Use the chart to the ______________

_______ = _______

d) 35 qt = ______L Use the chart to the ______________

_______=_______

Page 10 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

10

HW

METRIC to CUSTOMARY CUSTOMARY to METRIC

1) 16 in = ____________cm 2) 345 lb = __________kg 3) 56 g = ___________oz

4) 450 km = ____________mi 5) 1200 mL =__________fl oz 6) 40 m = ____________ft

7) Penny has a pencil that is 19 cm long How long is this pencil in inches

8) A cookie recipe (1 batch) calls for 1 lb of butter How many grams of butter would be in 3

batches

Page 11 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

11

Page 12 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

12

Page 13 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

13

Converting between percents fractions and decimals Percent to Decimal Examples

To convert a percent to a

decimal just divide by 100hellipor

move the decimal place two to

the left

In a decimal the point is after

the __________place

In a percent the point is after

the _______________place

1) 50 = ________

2) 82 = ________

3) 125 = ________

4) 101 = ________

5) Why is it okay to have a

percent over 100

Decimal to Percent Examples

To move the decimal from the

ones place to the hundredths

place either

1) move the decimal 2 places

right (so it is after the

______________ place)

2) multiply by 100 to move the

decimal two places right

1) 022 = _______

2) 02 = _______

3) 20 = _______

Percent to Fraction Examples

Since a percent is a value out of

100 type it in as a fraction over

100 and hit enter Or put it over

100 and simplify like normal

1) 32 = _______

2) 8 = ________

3) 125 = _______

Fraction to Percent Examples

To turn a fraction into a percent

simply multiply by 100 Or

make an equal ratio that has a

denominator of 100

1) 3

5 = ________

2) 3

4 = ________

3) 17

10 = ________

If your answer is a

percent you must put

the percent symbol

Page 14 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

14

120784120785

120783120782120782

120789

120783120782120782

120782 120783120788

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 7: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 7 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

7

MEASURES Within the CUSTOMARY SYSTEM

Customary Units of Length

1 foot (ft) = ________ inches (in)

1 yard (yd) = ________ ft = _______ yd

1 mile (mi) = ________ ft = _______ yd

Customary Units of Weight

1 pound (lb) = ________ ounces (oz)

1 ton = ______ lbs = __________ oz

Customary Units of Capacity

1 cup (c) = _____ fluid ounces (fl oz)

1 pint (pt) = _____c = _____fl oz

1 quart (qt) = _____ pt = ____ c = _____ fl oz

1 gallon (gal) = _____ qt = ____ pt = ____ c =_______fl

oz

What tricks have you learned in the

past to help you remember these

12 in = 1 ft

16 oz = 1 lb

2 c = 1 pt

3 ft = 1 yd 2000 lb = 1 t 2 pt = 1 qt

4 qt = 1 gal

You can use equal ratios to convert between customary problemshellip

Example 1

72 in = ________yd

divide 2

Set up 2 equal ratios 72 119894119899

119910119889=

36 119894119899

1 119910119889

Work it out bull 2

Example 2

12 qt = ________ gal

Set up 2 equal ratios 12 119902119905

119892119886119897=

4 119902119905

1 119892119886119897

Page 8 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

8

Day 7 Practice with Converting Customary MeasureshellipSet up two equal ratios

1a 10 T = __________ lb 1 T = 10 T

2000lb

1b 4 mi = ___________ ft

2a 32 oz = _____ qt

2b 128 oz = _____ qt

3a 14 C = _____ pt

3b 112 oz = _____ lb

4a 2000 lb = _____ T

4b 1 lb = ________ oz

5a 56 oz = _____ C

5b 1 mi = ___________ ft

6a 4 gal = ______ oz

6b 4 gal = ______ qt

7a 132 in = ______ ft

7b 144 in = ______ ft

8a 7 T = __________ lb

8b 3 mi = ___________ ft

9a 2 mi = ___________ ft

9b 8000 lb = _____ T

Page 9 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

9

Converting between Metric and Customary

Set up two equal ratios and find the missing piece Use the conversion charts below

METRIC to CUSTOMARY CUSTOMARY to METRIC

Now letrsquos try some

a) 5 inches = _________cm We are converting from inches to cm so use the chart on the _____

1 119894119899119888ℎ

254 119888119898=

5 119894119899119888ℎ119890119904

119909

b) 8 km = ________mi We are converting from km to mi so use the chart on the _________

1 119896119898

0621 119898119894=

8 119896119898

119909

c) 18 g = ________ oz Use the chart to the ______________

_______ = _______

d) 35 qt = ______L Use the chart to the ______________

_______=_______

Page 10 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

10

HW

METRIC to CUSTOMARY CUSTOMARY to METRIC

1) 16 in = ____________cm 2) 345 lb = __________kg 3) 56 g = ___________oz

4) 450 km = ____________mi 5) 1200 mL =__________fl oz 6) 40 m = ____________ft

7) Penny has a pencil that is 19 cm long How long is this pencil in inches

8) A cookie recipe (1 batch) calls for 1 lb of butter How many grams of butter would be in 3

batches

Page 11 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

11

Page 12 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

12

Page 13 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

13

Converting between percents fractions and decimals Percent to Decimal Examples

To convert a percent to a

decimal just divide by 100hellipor

move the decimal place two to

the left

In a decimal the point is after

the __________place

In a percent the point is after

the _______________place

1) 50 = ________

2) 82 = ________

3) 125 = ________

4) 101 = ________

5) Why is it okay to have a

percent over 100

Decimal to Percent Examples

To move the decimal from the

ones place to the hundredths

place either

1) move the decimal 2 places

right (so it is after the

______________ place)

2) multiply by 100 to move the

decimal two places right

1) 022 = _______

2) 02 = _______

3) 20 = _______

Percent to Fraction Examples

Since a percent is a value out of

100 type it in as a fraction over

100 and hit enter Or put it over

100 and simplify like normal

1) 32 = _______

2) 8 = ________

3) 125 = _______

Fraction to Percent Examples

To turn a fraction into a percent

simply multiply by 100 Or

make an equal ratio that has a

denominator of 100

1) 3

5 = ________

2) 3

4 = ________

3) 17

10 = ________

If your answer is a

percent you must put

the percent symbol

Page 14 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

14

120784120785

120783120782120782

120789

120783120782120782

120782 120783120788

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 8: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 8 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

8

Day 7 Practice with Converting Customary MeasureshellipSet up two equal ratios

1a 10 T = __________ lb 1 T = 10 T

2000lb

1b 4 mi = ___________ ft

2a 32 oz = _____ qt

2b 128 oz = _____ qt

3a 14 C = _____ pt

3b 112 oz = _____ lb

4a 2000 lb = _____ T

4b 1 lb = ________ oz

5a 56 oz = _____ C

5b 1 mi = ___________ ft

6a 4 gal = ______ oz

6b 4 gal = ______ qt

7a 132 in = ______ ft

7b 144 in = ______ ft

8a 7 T = __________ lb

8b 3 mi = ___________ ft

9a 2 mi = ___________ ft

9b 8000 lb = _____ T

Page 9 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

9

Converting between Metric and Customary

Set up two equal ratios and find the missing piece Use the conversion charts below

METRIC to CUSTOMARY CUSTOMARY to METRIC

Now letrsquos try some

a) 5 inches = _________cm We are converting from inches to cm so use the chart on the _____

1 119894119899119888ℎ

254 119888119898=

5 119894119899119888ℎ119890119904

119909

b) 8 km = ________mi We are converting from km to mi so use the chart on the _________

1 119896119898

0621 119898119894=

8 119896119898

119909

c) 18 g = ________ oz Use the chart to the ______________

_______ = _______

d) 35 qt = ______L Use the chart to the ______________

_______=_______

Page 10 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

10

HW

METRIC to CUSTOMARY CUSTOMARY to METRIC

1) 16 in = ____________cm 2) 345 lb = __________kg 3) 56 g = ___________oz

4) 450 km = ____________mi 5) 1200 mL =__________fl oz 6) 40 m = ____________ft

7) Penny has a pencil that is 19 cm long How long is this pencil in inches

8) A cookie recipe (1 batch) calls for 1 lb of butter How many grams of butter would be in 3

batches

Page 11 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

11

Page 12 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

12

Page 13 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

13

Converting between percents fractions and decimals Percent to Decimal Examples

To convert a percent to a

decimal just divide by 100hellipor

move the decimal place two to

the left

In a decimal the point is after

the __________place

In a percent the point is after

the _______________place

1) 50 = ________

2) 82 = ________

3) 125 = ________

4) 101 = ________

5) Why is it okay to have a

percent over 100

Decimal to Percent Examples

To move the decimal from the

ones place to the hundredths

place either

1) move the decimal 2 places

right (so it is after the

______________ place)

2) multiply by 100 to move the

decimal two places right

1) 022 = _______

2) 02 = _______

3) 20 = _______

Percent to Fraction Examples

Since a percent is a value out of

100 type it in as a fraction over

100 and hit enter Or put it over

100 and simplify like normal

1) 32 = _______

2) 8 = ________

3) 125 = _______

Fraction to Percent Examples

To turn a fraction into a percent

simply multiply by 100 Or

make an equal ratio that has a

denominator of 100

1) 3

5 = ________

2) 3

4 = ________

3) 17

10 = ________

If your answer is a

percent you must put

the percent symbol

Page 14 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

14

120784120785

120783120782120782

120789

120783120782120782

120782 120783120788

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 9: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 9 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

9

Converting between Metric and Customary

Set up two equal ratios and find the missing piece Use the conversion charts below

METRIC to CUSTOMARY CUSTOMARY to METRIC

Now letrsquos try some

a) 5 inches = _________cm We are converting from inches to cm so use the chart on the _____

1 119894119899119888ℎ

254 119888119898=

5 119894119899119888ℎ119890119904

119909

b) 8 km = ________mi We are converting from km to mi so use the chart on the _________

1 119896119898

0621 119898119894=

8 119896119898

119909

c) 18 g = ________ oz Use the chart to the ______________

_______ = _______

d) 35 qt = ______L Use the chart to the ______________

_______=_______

Page 10 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

10

HW

METRIC to CUSTOMARY CUSTOMARY to METRIC

1) 16 in = ____________cm 2) 345 lb = __________kg 3) 56 g = ___________oz

4) 450 km = ____________mi 5) 1200 mL =__________fl oz 6) 40 m = ____________ft

7) Penny has a pencil that is 19 cm long How long is this pencil in inches

8) A cookie recipe (1 batch) calls for 1 lb of butter How many grams of butter would be in 3

batches

Page 11 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

11

Page 12 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

12

Page 13 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

13

Converting between percents fractions and decimals Percent to Decimal Examples

To convert a percent to a

decimal just divide by 100hellipor

move the decimal place two to

the left

In a decimal the point is after

the __________place

In a percent the point is after

the _______________place

1) 50 = ________

2) 82 = ________

3) 125 = ________

4) 101 = ________

5) Why is it okay to have a

percent over 100

Decimal to Percent Examples

To move the decimal from the

ones place to the hundredths

place either

1) move the decimal 2 places

right (so it is after the

______________ place)

2) multiply by 100 to move the

decimal two places right

1) 022 = _______

2) 02 = _______

3) 20 = _______

Percent to Fraction Examples

Since a percent is a value out of

100 type it in as a fraction over

100 and hit enter Or put it over

100 and simplify like normal

1) 32 = _______

2) 8 = ________

3) 125 = _______

Fraction to Percent Examples

To turn a fraction into a percent

simply multiply by 100 Or

make an equal ratio that has a

denominator of 100

1) 3

5 = ________

2) 3

4 = ________

3) 17

10 = ________

If your answer is a

percent you must put

the percent symbol

Page 14 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

14

120784120785

120783120782120782

120789

120783120782120782

120782 120783120788

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 10: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 10 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

10

HW

METRIC to CUSTOMARY CUSTOMARY to METRIC

1) 16 in = ____________cm 2) 345 lb = __________kg 3) 56 g = ___________oz

4) 450 km = ____________mi 5) 1200 mL =__________fl oz 6) 40 m = ____________ft

7) Penny has a pencil that is 19 cm long How long is this pencil in inches

8) A cookie recipe (1 batch) calls for 1 lb of butter How many grams of butter would be in 3

batches

Page 11 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

11

Page 12 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

12

Page 13 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

13

Converting between percents fractions and decimals Percent to Decimal Examples

To convert a percent to a

decimal just divide by 100hellipor

move the decimal place two to

the left

In a decimal the point is after

the __________place

In a percent the point is after

the _______________place

1) 50 = ________

2) 82 = ________

3) 125 = ________

4) 101 = ________

5) Why is it okay to have a

percent over 100

Decimal to Percent Examples

To move the decimal from the

ones place to the hundredths

place either

1) move the decimal 2 places

right (so it is after the

______________ place)

2) multiply by 100 to move the

decimal two places right

1) 022 = _______

2) 02 = _______

3) 20 = _______

Percent to Fraction Examples

Since a percent is a value out of

100 type it in as a fraction over

100 and hit enter Or put it over

100 and simplify like normal

1) 32 = _______

2) 8 = ________

3) 125 = _______

Fraction to Percent Examples

To turn a fraction into a percent

simply multiply by 100 Or

make an equal ratio that has a

denominator of 100

1) 3

5 = ________

2) 3

4 = ________

3) 17

10 = ________

If your answer is a

percent you must put

the percent symbol

Page 14 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

14

120784120785

120783120782120782

120789

120783120782120782

120782 120783120788

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 11: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 11 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

11

Page 12 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

12

Page 13 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

13

Converting between percents fractions and decimals Percent to Decimal Examples

To convert a percent to a

decimal just divide by 100hellipor

move the decimal place two to

the left

In a decimal the point is after

the __________place

In a percent the point is after

the _______________place

1) 50 = ________

2) 82 = ________

3) 125 = ________

4) 101 = ________

5) Why is it okay to have a

percent over 100

Decimal to Percent Examples

To move the decimal from the

ones place to the hundredths

place either

1) move the decimal 2 places

right (so it is after the

______________ place)

2) multiply by 100 to move the

decimal two places right

1) 022 = _______

2) 02 = _______

3) 20 = _______

Percent to Fraction Examples

Since a percent is a value out of

100 type it in as a fraction over

100 and hit enter Or put it over

100 and simplify like normal

1) 32 = _______

2) 8 = ________

3) 125 = _______

Fraction to Percent Examples

To turn a fraction into a percent

simply multiply by 100 Or

make an equal ratio that has a

denominator of 100

1) 3

5 = ________

2) 3

4 = ________

3) 17

10 = ________

If your answer is a

percent you must put

the percent symbol

Page 14 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

14

120784120785

120783120782120782

120789

120783120782120782

120782 120783120788

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 12: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 12 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

12

Page 13 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

13

Converting between percents fractions and decimals Percent to Decimal Examples

To convert a percent to a

decimal just divide by 100hellipor

move the decimal place two to

the left

In a decimal the point is after

the __________place

In a percent the point is after

the _______________place

1) 50 = ________

2) 82 = ________

3) 125 = ________

4) 101 = ________

5) Why is it okay to have a

percent over 100

Decimal to Percent Examples

To move the decimal from the

ones place to the hundredths

place either

1) move the decimal 2 places

right (so it is after the

______________ place)

2) multiply by 100 to move the

decimal two places right

1) 022 = _______

2) 02 = _______

3) 20 = _______

Percent to Fraction Examples

Since a percent is a value out of

100 type it in as a fraction over

100 and hit enter Or put it over

100 and simplify like normal

1) 32 = _______

2) 8 = ________

3) 125 = _______

Fraction to Percent Examples

To turn a fraction into a percent

simply multiply by 100 Or

make an equal ratio that has a

denominator of 100

1) 3

5 = ________

2) 3

4 = ________

3) 17

10 = ________

If your answer is a

percent you must put

the percent symbol

Page 14 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

14

120784120785

120783120782120782

120789

120783120782120782

120782 120783120788

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 13: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 13 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

13

Converting between percents fractions and decimals Percent to Decimal Examples

To convert a percent to a

decimal just divide by 100hellipor

move the decimal place two to

the left

In a decimal the point is after

the __________place

In a percent the point is after

the _______________place

1) 50 = ________

2) 82 = ________

3) 125 = ________

4) 101 = ________

5) Why is it okay to have a

percent over 100

Decimal to Percent Examples

To move the decimal from the

ones place to the hundredths

place either

1) move the decimal 2 places

right (so it is after the

______________ place)

2) multiply by 100 to move the

decimal two places right

1) 022 = _______

2) 02 = _______

3) 20 = _______

Percent to Fraction Examples

Since a percent is a value out of

100 type it in as a fraction over

100 and hit enter Or put it over

100 and simplify like normal

1) 32 = _______

2) 8 = ________

3) 125 = _______

Fraction to Percent Examples

To turn a fraction into a percent

simply multiply by 100 Or

make an equal ratio that has a

denominator of 100

1) 3

5 = ________

2) 3

4 = ________

3) 17

10 = ________

If your answer is a

percent you must put

the percent symbol

Page 14 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

14

120784120785

120783120782120782

120789

120783120782120782

120782 120783120788

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 14: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 14 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

14

120784120785

120783120782120782

120789

120783120782120782

120782 120783120788

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 15: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 15 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

15

Understand Percents

WARMUP Use your calculator to find the percents

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 16: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 16 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

16

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 17: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 17 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

17

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 18: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 18 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

18

Percent Applications with TipsDiscountsTaxes

COMMON APPLICATIONS WITH PERCENTShellipUSE a CALCULATOR

Big Idea What is it Problem Solution

TAX

TAX $ is

_______________ to

the final price

You go to the store and

buy a pair of jeans that cost

$3259 Sales tax in

Raleigh NC is 675

a) How much extra will

you pay in tax

b) What is your final price

to pay

a)

b)

TIP

TIP $ is

______________ to

the final bill

You go out to Buffalo

Brothers for dinner with a

few friends Your bill

(including tax) is $2873

You want to leave a 20

tip

a) What is your tip $

b) What is your total cost

a)

b)

DISCOUNT

DISCOUNT means there

is a _________ so you

___________

the $ from the price

Hooray American Eagle

is having a sale on jeans

All pairs are 25 off If

jeans regularly cost $3995

what will you pay for a

pair of jeans

a) How much $ is taken

off due to the discount

b) What will you pay

a)

b)

mixed

In reality sometimes there

are DISCOUNTS and you

still have to pay TAXmdash

this stuff combines in real

life

Bath and Body works is

having a 35 off sale on

Tervis cups Normally

they cost $1895

a) What is the discount

b) What is the sale price

c) If sales tax is 675

what will you pay in taxes

d) What is your final cost

a)

b)

c)

d)

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 19: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 19 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

19

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 20: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 20 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

20

PERCENT APPLICATIONS WORKSHEET ndashwork it out and check it

HINT What is the PART and What is the WHOLE Make 2 equal ratios

Cross-multiply and divide by the leftover guy

1 Sue answers 42 out of 60 questions correctly What percent of her answers are correct

2 On a 20-item practice test how many questions must you answer correctly for a score of 80 correct

3 A teacher earns $38500 per year If 18 of her income is withheld for taxes how much money is

withheld for taxes How much of her income is left after taxes

4 At $450 per month a student pays $5400 a year in rent If his annual income is $15000 what percent

of his income is spent on rent

5 In one state sales tax is 6 If sales tax on a car is $56400 find the price of the car before tax

6 Of the 540 seniors at Lake City High School 35 are going on a school trip If the buses ordered for

the trip seat 42 students how many buses will be needed so that each student will have a seat

7 If the sales tax rate is 6 find the tax on a $42995 television to the nearest cent

8 A car salesperson advertises 18 off the price of a $1290000 Yugo What would the sale price be

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 21: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 21 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

21

9 Barb earns a 26 commission on each lab manual she sells If she sells 1200 manuals at $995 each

find her commission

10 A carpet salesperson claims that a carpet on sale for $1295 per square yard is 30 off its original price

What was its original price to the nearest cent

A stereo costs $14995 and is 20 off The tax is 6

11 Discount = $___________

12 Sale Price = $__________

13 Sales Tax = $__________

14 Final Cost = $___________

15 In an election one candidate claimed 52 of the votes while the other candidate claimed 2681 votes If

5000 people voted how do you know the election results are invalid

Hint What percent is the ldquootherrdquo candidate What must be the sum of the percents in an election

16 If you answered 37 items correctly on a test and received a score of 74 how many items were on the

test

ANSWERS

1 70 2 16 3 $6930 $31570 4 36 5 $ 9400 6 189 and 5 7 $2580 8 $10578

9 $314040 10 $4317 11 $2999 12 $11996 13 $720 14 $12716 15 52 + 53 ne 100

16 50

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 22: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 22 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

22

ANSWERS 1) $91 2)238 3)$896 4)189 5)$9360 6)360 7)45 8)360 mg

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 23: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 23 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

23

ANSWERS 9) a=$990 b=$$3510 10)637g and 588 b 11)~$4 12)a=100 b=40 c=125 13)a=$870 b=$6670

14)a=$24 b=$96

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 24: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 24 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

24

CCM6 ndash Unit 9 (Measurement Conversions Applications) STUDY GUIDE

Measurementmdashmetriccustomary

1 In the space to the right draw gallon guygallon land

2 Use gallon guy to answer these questions

a) 8 qt = _________ pts

b) 4 gal = _________ qts

c) 8 cups = _________pts

3 1 yard = _________ feet and 1 foot = _____________ inches so 1 yard = ____________ inches

4 1 pound = _____________ ounces so in 80 ounces there are ___________ pounds

5 In the space below draw the memory tool to order the metric prefixes (Hint King Henryhellip)

6 Convert these metric measures using the tool above

a) 7 mm = ___________cm b) 8 kg = ____________g c) 45 cm = _______m

For the problems below use the charts to the right It doesnrsquot matter

which chart you use

7 18 in = ___________cm

8 20 mL = __________fl oz

9 25 kg = ___________lbs

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls

Page 25: Measurement Conversions, Percents, Percent Applications ...jtownsendmath.weebly.com/.../unit_9_packet_ccm6_2016-17.pdfUnderstand Percent 11-12 Convert between Percents, Fractions and

Page 25 -- CCM6 Unit 9 ndashMeasurement Conversions Percents Percent Applications

25

Percent

10 On the line segment below mark and label 0 25 50 75 and 100

11 Write the percent shaded for the picture below

12 Find 22 of 80

13 Find 40 of 75

14 A jacket costs $4995 It is on sale for 30 off

a) Discount = $___________

b) Sale Price= $___________

15 At the store you buy items that total $3834 Sales tax is 8

a) Sales Tax = $___________

b) Total Cost = $__________

16 A bag contains 88 jelly beans You ate 25 of them How many were left in the bag

17 There were 150 students on the Sharks team 46 of the students were boys

How many boys on the Sharks team _______________ boys

How many girls on the Sharks team _______________ girls