5 Minute Check

Complete on the back of yesterday’s notes.

1. 12 is 50% of what number?

2. 12 is 25% of what number?

3. 12 is 10% of what number?

4. 12 is 75% of what number?

5 Minute Check

Complete on the back of yesterday’s notes.

1. 12 is 50% of what number?

Complete on the back of yesterday’s notes.

1. 12 is 50% of what number? 24

12 12

5 Minute Check

5 Minute Check

Complete on the back of yesterday’s notes.

2. 12 is 25% of what number?

Complete on the back of yesterday’s notes.

2. 12 is 25% of what number? 48

12 12 12 12

5 Minute Check

5 Minute Check

Complete on the back of yesterday’s notes.

3. 12 is 10% of what number?

Complete on the back of yesterday’s notes.

3. 12 is 10% of what number? 120

12 12 12 12 12 12 12 12 12 12

5 Minute Check

5 Minute Check

Complete on the back of yesterday’s notes.

4. 12 is 75% of what number?

Complete on the back of yesterday’s notes.

4. 12 is 75% of what number?16

4 4 4 4

5 Minute Check

Skills Practice RP3.61. A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as one of the ingredients. Draw a tape diagram to show how many flavors have chocolate and how many don’t.

1. A bakery makes 40 different flavors of muffins. 25% of the flavors have chocolate as one of the ingredients. Draw a tape diagram to show how many flavors have chocolate and how many don’t.

10 Choc and 30 No Choc

10 10 10 10

Skills Practice RP3.6

Solve by constructing tape diagrams.

2. How long is 50% of 60 minutes?

Skills Practice RP3.6

Solve by constructing tape diagrams.

2. How long is 50% of 60 minutes?

30 minutes

30 30

Skills Practice RP3.6

Solve by constructing tape diagrams.

3. How long is 10% of 60 minutes?

Skills Practice RP3.6

Solve by constructing tape diagrams.

3. How long is 10% of 60 minutes?

6 minutes

6 6 6 6 6 6 6 6 6 6

Skills Practice RP3.6

Solve by constructing tape diagrams.

4. How long is 75% of 60 minutes?

Skills Practice RP3.6

Solve by constructing tape diagrams.

4. How long is 75% of 60 minutes?

45 minutes

15 15 15 15

Skills Practice RP3.6

Solve by constructing tape diagrams.

5. How long is 150% of 60 minutes?

Skills Practice RP3.6

Solve by constructing tape diagrams.

5. How long is 150% of 60 minutes?

90 minutes

30 30 30

Skills Practice RP3.6

Thursday, Nov 8

RP3.7

Percentage

Objective: To understand how to find the percent of a number.

6.RP.3 I can use reasoning to solve word problems involving rate and ratios.

c. I can find a percent of a quantity as a rate per 100. I can solve problems involving finding the whole if I am given a part and the percent.

Percentage

Percent: a ratio out of 100.

The word percent means “per 100” or “out of 100” and is usually written with this symbol: %.

e.g.

45% = 45 out of 100 = 𝟒𝟓𝟏𝟎𝟎

Percentage

Percentages are commonly used in two ways:

To describe a part of a whole.

Percentage

Percentages are commonly used in two ways:

To describe the size of one quantity as a percentage of another quantity.

Percentage

Percentage

Today we are going shopping and we have a couple of coupons. Some coupons specify amounts to be taken off in dollars (e.g., $1 off) and some specify percentages (e.g.,10% off).

Han and Clare go shopping, and they each have a coupon. Han buys an item with a normal price of $15, and uses a 10% off coupon. How much does he save by using the coupon? Explain how you arrived at that answer.

Percentage

Han and Clare go shopping, and they each have a coupon. Han buys an item with a normal price of $15, and uses a 10% off coupon. How much does he save by using the coupon? Explain how you arrived at that answer.

Write this in a table.

Percentage

15 ?

100 10

dollars

percent

Han and Clare go shopping, and they each have a coupon. Han buys an item with a normal price of $15, and uses a 10% off coupon. How much does he save by using the coupon? Explain how you arrived at that answer.

Write this in a table.

Percentage

15 3 ?

100 20 10

dollars

percent÷ 5

Han and Clare go shopping, and they each have a coupon. Han buys an item with a normal price of $15, and uses a 10% off coupon. How much does he save by using the coupon? Explain how you arrived at that answer.

Write this in a table.

Percentage

15 3 ?

100 20 10

dollars

percent÷ 2

Han and Clare go shopping, and they each have a coupon. Han buys an item with a normal price of $15, and uses a 10% off coupon. How much does he save by using the coupon? Explain how you arrived at that answer. $1.50

Write this in a table.

Percentage

15 3 1.5

100 20 10

dollars

percent÷ 2

Clare buys an item with a normal price of $24, but saves $6 by using a coupon. For what percentage off is this coupon?

Percentage

Clare buys an item with a normal price of $24, but saves $6 by using a coupon. For what percentage off is this coupon?

Write this in a table and solve.

Percentage

24 6

100 ?

dollars

percent

Clare buys an item with a normal price of $24, but saves $6 by using a coupon. For what percentage off is this coupon? 25%

Write this in a table and solve.

Percentage

24 6

100 25

dollars

percent

÷ 4

Clare paid full price for an item. Han bought the same item for 80% of the full price. Clare said, “I can’t believe I paid 125% of what you paid, Han!” Is what she said true? Explain.

Percentage

Clare paid full price for an item. Han bought the same item for 80% of the full price. Clare said, “I can’t believe I paid 125% of what you paid, Han!” Is what she said true? Explain.

Han paid 𝟒𝟓

(80% = 𝟖𝟎𝟏𝟎𝟎

simplified) of the original price.

That means Clare paid 𝟓𝟒

(125% = 𝟏𝟐𝟓𝟏𝟎𝟎

simplified) of

what Han paid.

Percentage

A store sells 3 different music devices:

Device A costs $15

Device B costs $25

Device C costs $40

Jada has 60% of the money needed to buy Device C.

Percentage

A store sells 3 different music devices:

Device A costs $15

Device B costs $25

Device C costs $40

Jada has 60% of the money needed to buy Device C. What devices can she afford?

Write this in a table and solve.

Percentage

Money ($)

Percent

A store sells 3 different music devices:

Device A costs $15

Device B costs $25

Device C costs $40

Jada has 60% of the money needed to buy Device C. What devices can she afford? Device A.

Percentage

40 4 24

100 10 60

Money ($)

Percent

A store sells 3 different music devices:

Device A costs $15

Device B costs $25

Device C costs $40

Jada has 60% of the money needed to buy Device C. What percent of the money to buy Device B does she have?

Write this in a table and solve.

Percentage

A store sells 3 different music devices:

Device A costs $15

Device B costs $25

Device C costs $40

Jada has 60% of the money needed to buy Device C. What percent of the money to buy Device B does she have? 96%

Percentage

25 1 24

100 4 96

Money ($)

Percent

A store sells 3 different music devices:

Device A costs $15

Device B costs $25

Device C costs $40

The store started selling Device D that Jada is interested in buying. She has 40% of the money to buy Device D. How much money does she need to buy Device D?

Percentage

A store sells 3 different music devices:

Device A costs $15

Device B costs $25

Device C costs $40

The store started selling Device D that Jada is interested in buying. She has 40% of the money to buy Device D. How much money does she need to buy Device D? $60 – $24 = $36

Percentage

60 3 24

100 5 40

Money ($)

Percent

During a sale, every item in a store is 80% of its regular price.

If the regular price of a T-shirt is $10, what is its sale price?

Percentage

During a sale, every item in a store is 80% of its regular price.

If the regular price of a T-shirt is $10, what is its sale price? $8

Percentage

10 1 8

100 10 80

Cost

Percent

The percent proportion can be used to find the percent of a number.

percent fraction?

𝟏𝟎𝟎=

?

?number fraction

Percentage

In a percent proportion, the first fraction represents the percent (and will always have 100 in the denominator) and the second fraction represents the number.

percent fraction ?

𝟏𝟎𝟎=?

?number fraction

Percentage

In a percent proportion, the “parts” will always be in the numerators and the “wholes” will always be in the denominators.

percent fraction?

𝟏𝟎𝟎=

?

?number fraction

“parts”

“wholes”

Percentage

During a sale, every item in a store is 80% of its regular price.

If the regular price of a T-shirt is $10, what is its sale price?

percent fraction ?

𝟏𝟎𝟎=?

?number fraction

Percentage

During a sale, every item in a store is 80% of its regular price.

If the regular price of a T-shirt is $10, what is its sale price?

Using the Percent Proportion.

Step 1 – Place the percent in the percent fraction.

percent fraction?

𝟏𝟎𝟎=

?

?number fraction

Percentage

During a sale, every item in a store is 80% of its regular price.

If the regular price of a T-shirt is $10, what is its sale price?

Using the Percent Proportion.

Step 1 – Place the percent in the percent fraction.

percent fraction𝟖𝟎

𝟏𝟎𝟎=

?

?number fraction

Percentage

During a sale, every item in a store is 80% of its regular price.

If the regular price of a T-shirt is $10, what is its sale price?

Using the Percent Proportion.

Step 2 – Place the number in number fraction.

percent fraction𝟖𝟎

𝟏𝟎𝟎=

?

?number fraction

Percentage

During a sale, every item in a store is 80% of its regular price.

If the regular price of a T-shirt is $10, what is its sale price?

Using the Percent Proportion.

Step 2 – Place the number in number fraction.

percent fraction𝟖𝟎

𝟏𝟎𝟎=

?

𝟏𝟎number fraction

Percentage

During a sale, every item in a store is 80% of its regular price.

If the regular price of a T-shirt is $10, what is its sale price?

Using the Percent Proportion.

Step 3 – Solve.

percent fraction𝟖𝟎

𝟏𝟎𝟎=

?

𝟏𝟎number fraction

Percentage

During a sale, every item in a store is 80% of its regular price.

If the regular price of a T-shirt is $10, what is its sale price? $8

80 x 10 = 800 ÷ 100 = 8

Using the Percent Proportion.

Step 3 – Solve.

percent fraction𝟖𝟎

𝟏𝟎𝟎=

?

𝟏𝟎number fraction

Percentage

During a sale, every item in a store is 80% of its regular price.

If the regular price of a T-shirt is $10, what is its sale price?

Using the Percent Proportion.

Step 3 – Solve.

percent fraction𝟖𝟎

𝟏𝟎𝟎=

?

𝟏𝟎number fraction

÷ 10

÷ 10

Percentage

During a sale, every item in a store is 80% of its regular price.

If there is a pair of jeans with a regular price of $55, what is its sale price?

percent fraction?

𝟏𝟎𝟎=

?

?number fraction

Percentage

During a sale, every item in a store is 80% of its regular price.

If there is a pair of jeans with a regular price of $55, what is its sale price?

Step 1 - ?

percent fraction?

𝟏𝟎𝟎=

?

?number fraction

Percentage

During a sale, every item in a store is 80% of its regular price.

If there is a pair of jeans with a regular price of $55, what is its sale price?

Step 2 - ?

percent fraction𝟖𝟎

𝟏𝟎𝟎=

?

?number fraction

Percentage

During a sale, every item in a store is 80% of its regular price.

If there is a pair of jeans with a regular price of $55, what is its sale price?

Step 3 - ?

percent fraction𝟖𝟎

𝟏𝟎𝟎=

?

𝟓𝟓number fraction

Percentage

During a sale, every item in a store is 80% of its regular price.

If there is a pair of jeans with a regular price of $55, what is its sale price? $44

80 x 55 = 4400 ÷ 100 = 44

percent fraction𝟖𝟎

𝟏𝟎𝟎=

?

𝟓𝟓number fraction

Percentage

During a sale, every item in a store is 80% of its regular price.

If there is a scarf with a discounted price of $16, what was the original price?

percent fraction?

𝟏𝟎𝟎=

?

?number fraction

Percentage

During a sale, every item in a store is 80% of its regular price.

If there is a scarf with a discounted price of $16, what was the original price? $20

100 x 16 = 1600 ÷ 80 = 20

percent fraction𝟖𝟎

𝟏𝟎𝟎=𝟏𝟔

?number fraction

Percentage

The regular price of a pair of pants is $48. If you buy them for $36, what percent of the original price did you pay?

percent fraction?

𝟏𝟎𝟎=?

?number fraction

Percentage

The regular price of a pair of pants is $48. If you buy them for $36, what percent of the original price did you pay?

75%

100 x 36 = 3600 ÷ 48 = 75

percent fraction?

𝟏𝟎𝟎=𝟑𝟔

𝟒𝟖number fraction

Percentage

A store is having a 30% off sale. If you buy shirt and save $12, what was the original price of the shirt?

percent fraction?

𝟏𝟎𝟎=?

?number fraction

Percentage

A store is having a 30% off sale. If you buy shirt and save $12, what was the original price of the shirt?

$40

100 x 12 = 1200 ÷ 30 = 40

percent fraction𝟑𝟎

𝟏𝟎𝟎=𝟏𝟐

?number fraction

Percentage

On a hike John can travel 12 miles in 4 hours. What is the distance that he can travel in 1 hour?

Review

On a hike John can travel 12 miles in 4 hours. What is the distance that he can travel in 1 hour?

3 miles

12miles ÷4

4 hours ÷4= 3miles

1 hour

Review

Do not forget the units!

Kroger’s charges $3 for 1

2dozen eggs. What

is the cost of 1 dozen eggs?

Review

Kroger’s charges $3 for 1

2dozen eggs. What

is the cost of 1 dozen eggs?

Review

1

2dozen

$3Money

Eggs

1 dozen

$ ?

Kroger’s charges $3 for 1

2dozen eggs. What

is the cost of 1 dozen eggs?

$6

$3÷12

12dozen ÷

12

= $61 𝑑𝑜𝑧𝑒𝑛

Review

Do not forget the units!

Concrete Mix:

4 bags Portland cement 115

pints color

3 bags of sand 314

pints hardener

Find the unit rate of bags of Portland cement for each bag of sand.

Review

Concrete Mix:

4 bags Portland cement 115

pints color

3 bags of sand 314

pints hardener

Find the unit rate of bags of Portland cement for each bag of sand.

𝟏𝟏𝟑𝐏𝐨𝐫𝐭𝐥𝐚𝐧𝐝

𝟏 𝐬𝐚𝐧𝐝

4 Portland ÷3

3 sand÷3=

43Portland

1 sand=

113Portland

1 sand

Review

Do not forget the units!

Concrete Mix:

4 bags Portland cement 115

pints color

3 bags of sand 314

pints hardener

In a sentence describe the ratio of bags of sand to each bag of Portland cement.

Review

Concrete Mix:

4 bags Portland cement 115

pints color

3 bags of sand 314

pints hardener

In a sentence describe the ratio of bags of sand to each bag of Portland cement.

For every 1 bag of Portland cement, there is 𝟑

𝟒of a bag of sand. (or vice versa)

3 sand ÷4

4 Portland÷4=

34sand

1 Portland

Review

Practice Skills RP3.7

Due Friday, Nov 9

RP2 Assessment

Friday, Nov 9

Percentage

Chicken McNuggets come in packages in 6, 9, and 20. What is the largest amount of Chicken McNuggets you cannot order?

A school held several evening activities last month—a music concert, a basketball game, a drama play, and literacy night. The music concert was attended by 250 people. Attendance at a basketball game was 30% of attendance at the concert. How many people came to basketball game?

Percentage

A school held several evening activities last month—a music concert, a basketball game, a drama play, and literacy night. The music concert was attended by 250 people. Attendance at a basketball game was 30% of attendance at the concert. How many people came to basketball game?

75 people

Percentage

250 5 75

100 2 30

Attendance

Percent

A school held several evening activities last month—a music concert, a basketball game, a drama play, and literacy night. The music concert was attended by 250 people. Attendance at the drama play was 140% of attendance at the concert. How many people came to the drama play?

Percentage

A school held several evening activities last month—a music concert, a basketball game, a drama play, and literacy night. The music concert was attended by 250 people. Attendance at the drama play was 140% of attendance at the concert. How many people came to the drama play?

350 people

Percentage

250 5 350

100 2 140

Attendance

Percent

A school held several evening activities last month—a music concert, a basketball game, a drama play, and literacy night. The music concert was attended by 250 people. Attendance at literacy night was 44% of attendance at the concert. How many people came to literacy night?

Percentage

A school held several evening activities last month—a music concert, a basketball game, a drama play, and literacy night. The music concert was attended by 250 people. Attendance at literacy night was 44% of attendance at the concert. How many people came to literacy night?

110 people

Percentage

250 5 110

100 2 44

Attendance

Percent

50% of the people who attended the drama play also attended the music concert. What percentage of the people who attended the music concert also attended the drama play?

Percentage

50% of the people who attended the drama play also attended the music concert. What percentage of the people who attended the music concert also attended the drama play? 70 percent

250 people attended the concert

350 people attended the play

Percentage

350 7 175

100 2 50

Play Attendance

Percent

250 5 175

100 2 70

Concert Attendance

Percent

Han and Clare go shopping, and they each have a coupon. Han buys an item with a normal price of $15, and uses a 10% off coupon. How much does he save by using the coupon? Explain how you arrived at that answer.

If 100% of the price is $15, what is the value for each section?

Percentage

Han and Clare go shopping, and they each have a coupon. Han buys an item with a normal price of $15, and uses a 10% off coupon. How much does he save by using the coupon? Explain how you arrived at that answer. $1.50

Percentage

If 100% of the price is $15, what is the value for each section?

1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5 1.5

Clare buys an item with a normal price of $24, but saves $6 by using a coupon. For what percentage off is this coupon?

If 100% of the price is $24, what is the percent for each section?

Percentage

6 6 6 6

Clare buys an item with a normal price of $24, but saves $6 by using a coupon. For what percentage off is this coupon? 25%

If 100% of the price is $24, what is the percent for each section?

Percentage

6 6 6 6