october 06, 2014 · october 06, 2014 challenge problems john runs 5.623 miles. jill runs 7.422...
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October 06, 2014
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Do Now
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Addition of Decimals
Line em up! Line 'em up!
4.26 + 2.7 9.04 + 4.1243
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Subtraction of decimalsLine 'em up! Line 'em up!
41.34 - 31.454 10.24 - 8.3
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Let's Try a Few
5.64 + 3.234 .23 + 22.35
1.72 + .0023
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1.423 - .03 12.23 - 2.055
October 06, 2014
Challenge ProblemsJohn runs 5.623 miles. Jill runs 7.422 miles. What is the total number of miles run?
Tra runs 5.89 miles. Leo runs 4.522 miles. What is the difference between Tra and Leo's time?
HW
Worksheet
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Multiplication of decimals
4.34 x 1.6
1. Multiply the numbers normally
2. Move the decimal over the number of spots in the answer
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4.23 x 1.2 3.5 x 2.4
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Division of decimals
4.2 / .6 45.5 / 5
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Chyonne eats runs 1.6 miles. Shields runs 8.4 miles. What is their combined total.
Jake takes 4.34 seconds to pass a coin from one finger to the next and back. How long does it take him to do this 30 times? What about 4.7 times
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Do Now6.39 / .003
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Challenge Problems
4.53 + (-2.3)-2.6 + (-1.4)
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Addition of Fractions 1. Find a common denominator
2. Keep the denominator.
3. Add the numerator
4. Simplify the fraction
5. If the numerator is larger than the denominator and turn into a mixed number
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1/8 + 3/10
1/5 + 3/4
4/5 + 3/8
6/7 + 1/3
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Do Now
6/7 + 1/3
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Do Now
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1. Find a common denominator
2. Keep the denominator.
3. Add the numerator
4. Simplify the fraction
5. Add the whole numbers
6. If the numerator is larger than the denominator and turn into a mixed number
Adding Mixed Numbers
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2 14
+ 4 53
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6 13
+ 2 45
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Do Now
John runs 2 1/4 miles and Jill runs 3 4/5 miles. How many do they run together?
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Subtraction of fractions
3/5 - 1/3 5/6 - 2/3
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7/8 - 4/5 9/10 - 7/8
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John eats 3/4 of a pizza. Erneisha eats 1/5 of a pizza. Together how much pizza do they eat?
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Subtraction of Mixed Numbers without borrowing
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Adrian Peterson rushes for 3 and 1/2 yards. LeSean McCoy rushes for 9 and 4/5 yards. What is their combined total? What is the difference?
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Do Now
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Subtraction by regrouping
1. Find the common denominator
2. Borrow from the larger number
3. Regroup the fraction
4. Subtract
5. Simplify
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Do Now
Homework
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Do Now
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Multiplication of Fractions and Mixed numbers
1. If a mixed number turn into an improper fraction.
2. Multiply the numerators
2. Multiply the denominators
3. Simplify
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6/7 x 4/5 2/3 x 3/4
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1/2 x 7/8
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Multiplying mixed numbers
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Do NowHW
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Word Wall
Reciprocal-
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Higher level thinking question
If you are dividing a WHOLE or MIXED NUMBER or IMPROPER FRACTION by a FRACTION, will your answer be bigger or smaller than the whole number?
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Dividing Fractions
1. If a mixed number then turn into an improper fraction
2. Flip the second number (reciprocal)
3. Multiply across
4. Simplify
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Do Now
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Fractions and word problems
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Aim: SWBAT solve complex word problems involving fractions
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Agenda
- Do Now
- Intro to word problems
- Practice word problems steps
- Worksheet
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Solving fraction word problems
1. Read the word problem
2. Circle key words.
3. If necessary substitute fractions with whole numbers and then switch back once you have found the correct operation
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James rushes for 3 1/4 yards. Bill rushes for 4 1/2 as many yards. How many yards does Bill rush?
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Mr. Durant gains 2 1/3 yards. Ms. Inniss 22 4/5 yards. What is the difference in the yardage?
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15 people are invited to John's birthday party. 2/3 of those invited show up. How many kids show up?
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Gabe throws his paper airplane 6 1/3 feet, Mr. Arya threw his 1 2/3. How many times further did Gabe throw his further than Mr. Arya?
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Do Now John runs 4 3/4 miles. Jill runs 3 1/8 miles. How many miles do they run in total?
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What is the process for solving word problems with fractions?
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John eats 1/4 of 16 slices of pizza. How many slices in total does he eat?
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Clayton beats on the desk 5 1/2 times in Mr. Arya's class. He beats on the desk in Mr. Durant's class 6 1/4 times. How much more does he beat his desk in Mr. Durant's class?
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Frank Ocean sings for 2 1/4 hours. Jay-Z raps for 3 1/4 times the amount of hours that Frank Ocean sings. How long is Jay-Z on stage for?
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Do Now
Jake eats 1/8 of a 16 piece pizza. Jill eats 3/4 of a 8 slice pizza. What is the difference in the number of slices eaten?
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Are the following equal?
1/4 and .25 3/8 and .375
How did you determine this?
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Fractions can be equal to decimals. They can also be equal to something else. Can anyone think of what this is?
Percents!!!!!
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-Fractions are out of whatever the denominator is
-Decimals are out of 1
- Percents are out of ______________
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If decimals are out of 1 and percents are out of 100 let's pause to think.
1.0 x 10 = 10
1.0 x 100 = 100
Therefore we move the decimal over _____ places...
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Converting a fraction to a percent
1. Convert fraction to a decimal by placing the denominator on the outside and numerator on the inside and dividing
2. Convert decimal to fraction by moving decimal 2 places to the right
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1/4 3/10
Challenge Problem:
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Converting percent to fraction
1. Convert percent to decimal by moving decimal 2 places to the left.
2. Convert decimal to fraction.
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15% 76%
132%
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Comparing values. Convert all to the same (either decimal, fraction, or percent)
Order from least to greatest
.3, 1/5, 40% 1.25, 1 4/5, 95%
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Challenge problem
John received 18/20 on his first test. On his second test he received an 85%. On his third test he got .92 of the whole test right
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Do Now
Homework
John received 18/20 on his first test. On his second test he received an 85%. On his third test he got .92 of the whole test right
Review Sheet
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Compare the following values
125% 1.32 125
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.007% .003 1/20
Least to greatest
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Least to greatest
.35 .25% 1/3
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There are 20 red and green tulips in the garden. 1/5 of then are green, how many are green?
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At that same party, Joe ate 3 1/4 pieces of pizza and Angela ate 6 4/5 pieces. How many pieces of pizza in total did Joe and Angela eat?
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During a hot dog eating contest, Lil Wayne ate 10 1/2 hot dogs, and Justin Beiber ate 19 2/5 hot dogs. How many more hot dogs did Justin Beiber eat?
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Tom bought a board that was 2 7/8 of a yard long. He cut off 1 1/2 of a yard. How much was left?
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Place the following in order from least to greatest
.005 .3% 1/10
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SWBAT find percents and differentiate between of and is
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What is a proportion?
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part
whole =percent
100Of means whole
Is means part
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1. Set up the proportion
2. Cross multiply and divide
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20 is what percent of 50
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25% of 16 is what?
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2 is what percent of 20
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Do Now
50% of the number 60 is what?
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5 is what percent of 25
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62.1% of 35 is what number
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35% of 20 is what number?
Do Now
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20 is what percent of 50
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15 is 60% of what number
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Sometimes you must figure out the part and whole.
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John got a 20 out of 25 on his test. What percent of the questions did he get right?
October 06, 2014
A metal bar weighs 9 pounds. 85% of the bar is gold. How many pounds are gold?
October 06, 2014
There are 20 kids who try out for a basketball team. 15 of them make it. What percent of the people make the team?
October 06, 2014
Chloe's teacher gave her a science test with 25 questions on it. She scored 80% on the test. How many questions did she get correct?
October 06, 2014
A serving of ice cream 6400 calories. 1600 calories come from fat. What percent of the total calories come from fat?
October 06, 2014
The monthly budget for the front of the house is $51,000. You spent 17% of the budget on fresh flowers. How much did you spend on fresh flowers?
October 06, 2014
Your food costs are $2250. Your total food sales are $25,000. What percent of your food sales do the food costs represent?
Do Now
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Mega Challenge Problem
John received an 80% on his test. There were 40 questions on the test. How many did he get wrong on the test?
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Can you have over
100 percent?
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Aim: SWBAT work with percents over 100
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125% of 20 is what?
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60 is 150% of what number?
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John makes $25 and hour. His boss makes 160% of John's amount. How much does the boss make?
October 06, 2014
Ron runs 5 miles. Jack runs 250% of the miles that Ron runs. How many miles does Ron run?
October 06, 2014
A bench is made of 25 grams of metal. 20% of the bench is made of titanium. How many grams of the bench are titanium?
October 06, 2014
Dez Bryant makes 10 catches in a football game. Calvin Johnson makes 150% more catches. How many catches does Calvin Johnson make?
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Do Now Dez Bryant makes 4 catches in a football game. Calvin Johnson makes 150% more catches. How many catches does Calvin Johnson make?
October 06, 2014
Howard makes $50 a week. His boss makes 175% of what Howard makes.
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Try This NEW type of problem
Bill buys a deck of cards for $20. Next week he goes back to get a new deck but the price has gone up by 25%
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KEY WORD
INCREASES BY: THIS MEANS ADD ANOTHER 100%
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Shanea buys a pack of candy for $5. The price increases by 50% the next week. What is the new price of the candy?
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Can someone tell me why I add an additional percent. What happens if I do not add the additional 100%
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Mr. Durant buys and collects Barbie dolls. He sees a doll he loves and buys it for $30. 2 weeks later the value of the doll increases by 120%. What is the new value of the doll?
October 06, 2014
Cashmere buys a teddy bear for $40. Two weeks later he gets a new teddy bear to keep his other one company, but the price has increased by 140%. What is the new price of his new teddy bear?
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Andrew was 32 inches tall last year. This year his height has increased by 30%. How tall is he now?
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A.J. Green catches the ball 3 times. Jordy Nelson catches the ball 160% more times. How many times did Jordy Nelson catch the ball?
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Do Now
Marquise collects baseball cards. He bought a pack for $25. The value increases by 35%. What is the new value of the baseball cards?
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Daniel buys candy for $6. The next day he goes back but the value of the candy has increased by 125%. What is the new value of the candy?
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Percent Discount
1. Look for key words like percent discount, percent off, discounted price
2. Subtract 100 - percent off
3. percent off discounted price
100 original price
4. Cross multiply and divide
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Percent Discount
Greg has his eye on a television with a listed price of $200. The salesman offers him a 30% discount if he buys it today. What will the television cost with the discount?
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A table is on sale for 25% off. The original price was $60. What is the sale price of the table?
October 06, 2014
Aaliyah buys a basketball for 35% off. The ball now costs $25. What was the original price of the ball?
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What if I changed the type of problem
The price of a sweatshirt $30 and went to $20. What is the percent discount?
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Tim bought a jacket for $50 and the price went to $40. What is the percent discount?
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Jon bought a football for $30 to $25. What is the percent discount?
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John buys a book for $20 and the price goes down to $15. What is the percent discount
Lanasia buys a pair of glasses. They were 60% off. The sale price of the glasses was $25. What was the original price?
Do Now
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Agenda:
Do Now
SMART Practice
Worksheet
Aim: SWBAT interpret and solve percent problems involving tax.
October 06, 2014
What is does "tax" mean?
Why did we subtract for percent discount?
If we subtract for percent discount, what do you think we do for tax.
October 06, 2014
Let's try a problem
John buys a table for $50. There is a 8% sales tax. What is the final price of the table.
October 06, 2014
Percent Tax
1. Look for key words like tax
2. 100% + percent tax
3. 100 + % taxed price
100 original price
4. Cross multiply and divide
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Eric buys a fridge for $500. There is a 6% sales tax. What is the final price of the table.
October 06, 2014
Tim buys a gift for $40. There is a 15% sales tax. What is the final price of the table.
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October 06, 2014
Mega, Ultra, Super Challenge Problem
Tim goes to the store and the a couch is $200 but it is discounted for 20%. Tim buys the table and there is a 15% sales tax. What is the final price of the table?
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Do Now
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SWBAT solve percent increase/decrease problems
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change (subtract)original
x 100
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A shirt went from $55 to $100. What is the percent increase?
October 06, 2014
The enrollment at a university increased from 14,000 students to 16,000 students over a period of 5 years. What is the percent increase in enrollment?
l
October 06, 2014
The selling price of a home was dropped from $200,000 to $190,000. By what percent did the price drop?
October 06, 2014
What is the percent decrease on a DVD recorder that is marked down from $400 to $350?
October 06, 2014
My real estate agent told me that my house had appreciated in value over the last three years. In other words, it has gone from being worth $102,500 to being worth $111,000. What is the percent increase in the value of my house?
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Do Now
Greg buys a hat for $40. It was 35% off. What was the original price?
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What is 15% of 35
Eric collects baseball cards. He bought it originally for $25. Later he tries to get a new pack but the price increased by 15%. What is the new price?
October 06, 2014
A fridge originally costs $400. It is on sale for 40% off. What is the new price?
4 out of 5 people make the basketball team. What percent of the people make the team?
October 06, 2014
Jack makes 5 catches in a football game. Kenneth makes 150% more catches. How many catches does Kenneth make?
October 06, 2014
A bench is made of 25 grams of metal. 20% of the bench is made of titanium. How many grams of the bench are NOT titanium?
October 06, 2014
My real estate agent told me that my house had appreciated in value over the last three years. In other words, it has gone from being worth $102,500 to being worth $111,000. What is the percent increase in the value of my house?
October 06, 2014
Do Now
Place the following in order from least to greatest
October 06, 2014
Tim buys a gift for $40. There is a 15% sales tax. What is the final price of the table.
October 06, 2014
Daniel buys candy for $6. The next day he goes back but the value of the candy has increased by 125%. What is the new value of the candy?
October 06, 2014
A couch was on sale for 25% off. The original price of the couch was $270. What is the sale price.
October 06, 2014
Jacob gets 15 questions right on his test. He received a 75% on his test. How many questions total were on the test?
October 06, 2014
What is the percent decrease on a DVD recorder that is marked down from $400 to $350?
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Do Now
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30% of 15 is
what number15 is increased by 125%
Least to greatest.5, .6%, 4/5
25% discount on
watch that was
originally $40
1.45 / .5
150% of 145 is what number
30% discount on
watch that was
originally $20
October 06, 2014