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Math 8

Unit 5

Rates, Ratios, and Unit Rates

Name: ____________________

Teacher: _______________

Period: ________

-In this section, you will learn about ratios, unit costs, rates and proportions.

A ratio is a comparison of two numbers using division, such as the ratio of cups of concentrate to cups of water or the ratio of vowels to consonants in the word math.

The ratio of vowels to consonants in the word math can be written in three ways. This is a part-to-part ratio.

1 to 3 1 : 3 [pic]

EXAMPLE: Express each phrase as a ratio in simplified form:

a.) The ratio of 8 to 12. b.) The ratio of 32 to 16.

c.) The ratio of 8 ounces to 2 pounds. d.) The ratio of 2 feet to 2 yards

Your turn

Write three ratios for each of the following comparisons. Tell whether it is a part-to-part, a part-to-whole, or a whole-to-whole ratio. Use your class to make the comparisons.

1] ratio of boys to girls _____, _____, _____, _____

2] ratio of girls to boys _____, _____, _____, _____

3] ratio of boys to students _____, _____, _____, _____

4] ratio of students to girls _____, _____, _____, _____

1. Equivalent ratios are found by _____

the terms of a ratio by the same number (excluding zero).

2. State an equivalent ratio for 4:6 that is:

a) 2x larger: __________

b) 3x larger: __________

c) 4x larger: __________

d) 5x larger: __________

3. State how many times larger each ratio is than 3:2.

Choose from 1x, 2x, 3x, 4x, or 5x.

a) 9:6 is ____ larger than 3:2. b) 15:10 is ____ larger than 3:2.

c) 12:8 is ____ larger than 3:2. d) 6:4 is ____ larger than 3:2.

4. Circle the ratios that are equivalent to 2:6.

a) 1:3 b) 3:1 c) 4:8 d) 4:12 e) 6:15 f) 8:24

5. Write each ratio equivalent to how many times larger it has been made.

Eg.) 1:2 = 4 : 8 _____1x _____2x ______3x ______4x

a) 6:9 = ____:18 _____1x _____2x ______3x ______4x

b) 6:4 = 18:____ _____1x _____2x ______3x ______4x .

c) 8:5 = ____: 25 ______1x _____2x ______3x ______4x .

6. Which of the following ratios are equivalent to 24:16?

a) 8:5 b) 2:8 c) 3:2 d) 4:6 e) 6:4

7. Determine the missing term to make each ratio equivalent.

a) 3:4 = ____: 8 b) 5:2 = 15: ____ c) ____:2 = 3:1

d) ____ :5 = 15:25 e) 2:7 = ____:21 f) 4:____ = 3:6

8. Fill in the blank with an = or [pic] to make the statement true.

a) 2:5 ___6:14 b) 6:2 ____12:4 c) 4:10 ____ 2:5

d) 16:6 ____4:3 e) 18:4 ____ 6:2 f) 21:30 ____ 7:10

9. State 2 other ratios that equivalent to:

a) 8:6 __________ __________

b) 10:15 __________ __________

c) 16:28 __________ __________

d) 36:24 __________ __________

RATES:

A rate is a special ratio that compares two quantities measured in different units, like miles and hours or cost

and copies.

The cost for 10 copies is \$1.50.

The rate is \$1.50/10 copies

EXAMPLE: An airplane travels from Chicago to San Francisco, a distance of 1,803 miles, in 3 hours. Find the rate of speed of the plane.

EXAMPLE: A bag of oranges weighs 9 pounds. The cost of the bag is \$4.05

Find the cost per orange.

Example : [pic]

Rates/Ratios Notes

1. The ratio of goldfish to gallons of water is 4 to 2.

a. For every _____ goldfish, there are _____ gallons of water.

b. Fill in the table.

|Gold Fish |Gallons of Water |

|4 |2 |

|8 | |

|12 | |

|16 | |

|20 | |

|24 | |

c. How many goldfish can you get if you have 12 gallons of water?

d. How many gallons of water do you need to keep 36 fish?

2. The price of oranges is 4 for \$3.00.

a. For every _____ oranges, you pay ______.

b. What is the price per orange?

c. Fill in the table.

|Oranges |\$ |

|1 |3 |

|2 | |

|3 | |

|4 | |

|5 | |

|6 | |

c. How much do you pay for 24 oranges?

3. Shirley is taking a test in science. For every 3 questions, you have 9 minutes.

a. Fill in the table.

|Questions |Time (minutes) |

|1 | |

|3 |9 |

|6 | |

|9 | |

|12 | |

|15 | |

|18 | |

|21 | |

|24 | |

|27 | |

|30 | |

b. What is rate of # of minutes per question?

c. If Shirley has 30 questions, how much time does she have to take the test?

d. If Shirley has 21 questions, how much time does she have to take the test?

e. If the test is 36 minutes long, how many questions does Shirley have?

f. If the test is 72 minutes long, how many questions does Shirley have?

4. Jonathan can eat 10 cupcakes in 10 minutes,

a. How much time did it take Jonathan to eat 1 cupcake?

b. How much time did it take Jonathan to eat 2 cupcakes?

c. How much time did it take Jonathan to eat 7 cupcakes?

5. 20 cars enter the mall Pershing lot every 5 minutes.

a. How many cars enter the parking lot in 1 minute?

b. How many cars enter the parking lot in 2 minutes?

c. How many cars enter the parking lot in 3 minutes?

d. How many cars enter the parking lot in 4 minutes?

e. How many cars enter the parking lot in 10 minutes?

f. How many cars enter the parking lot in 25 minutes?

6. Anthony is mowing lawns to make money for a new bike. He made \$200 for mowing 20 lawns.

a. How much money did Anthony make per lawn?

b. How much would Anthony make for mowing 3 lawns?

c. How much money would Anthony make for mowing 7 lawns?

Name: _______________________

Rates/Ratios Practice

1. The ratio of girls to boys in math class is 2 to 3.

a. For every _____ girls, there are _____ boys.

b. Fill in the table.

|Girls |Boys |

|2 |3 |

|4 | |

|6 | |

|8 | |

|10 | |

|12 | |

c. How many girls are in the class if you have 12 boys?

d. How many girls are in the class if you have 18 boys?

2. The price of apples is 3 for \$6.00.

a. For every ______ apples, you pay ______.

b. What is the price per apple?

c. Use this information to fill in the table.

|Apples |\$ |

|1 | |

|2 | |

|3 | |

|4 | |

|5 | |

|6 | |

c. How much do you pay for 20 apples?

4. Patrick is taking a test in science. There are 20 questions and 60 minutes.

a. For every _____ questions, he has ______ minutes.

b. How much time does Patrick have for 1 questions?

c. How much time does Patrick have for 5 questions?

d. How much time does Patrick have for 10 questions?

5. Kianna can type 200 words in 5 minutes. Brenda types 240 words in 8 minutes.

a. How many words does Kianna type in 1 minute?

b. How many words does Brenda type in 1 minute?

c. Who types the fastest?

5. Stephanie is babysitting to save money for a new I - Pad. She made \$36 for

babysitting 3 hours.

a. How much money did Stephanie make per hour?

b. How much would Stephanie make for babysitting 6 hours?

c. How much would Stephanie make for babysitting 9 hours?

d. How many hours would Stephanie have to babysit to save \$720 for a new I-Pad?

[pic]

Name: _______________________________________ Date: _________________________

Applications ~ Connections ~ Extensions

Students at a middle school are asked to record how they spend their time from midnight on Friday to midnight on Sunday. Carlos records his data in the table below. Use the table for

Part 1

|Weekend Activities |

|Activity |Number of Hours |

|Sleeping |18 |

|Eating |3 |

|Recreation |10 |

|Talking on the Phone |2 |

|Watching TV |8 |

|Doing Chores or HW |2 |

|Other |7 |

|Total |50 |

I. Find the part to whole ratio and percent( out of 100) of time Carlos spend doing each activity.

a. Sleeping b. Eating

c. Recreation d. Talking on Phone

e. Watching TV f. Doing Chores or HW

g. Other

II. Directions: The table below gives student preferences for seasons of the year. Use the information in the table to write a ratio for each comparison. Write the ratio in simplest form.

|Preference |# of Students |

|Summer |100 |

|Fall |40 |

|Winter |5 |

|Spring |55 |

1. Summer to Winter

2. Spring to Fall

3. Winter to Total

4. Summer to Total

5. Winter to Spring

III. Directions: In questions 6 – 8 answer the given multiple choice question.

6. The ratio of boys to girls is 2 to 14. Find an equivalent ratio.

a. 1 to 6

b. 10 to 70

c. 14 to 2

d. 7 to 1

7. The ratio of cats to dogs at a local pet store is 3 to 5. What percent of the pets are dogs?

a. 50%

b. 60%

c. 38%

d. 63%

8. Kate sold 36 tickets to the basketball game and Joe sold 9. What is the ratio, in simplest form, of the number of tickets Joe sold to the number of tickets Kate sold?

a. [pic]

b. [pic]

c. [pic]

d. [pic]

Directions: In questions 9 use the information given to answer the question.

9. When polled, out of 100 students, 62 students said they preferred math. Write the part to whole ratios for this preference. What percent of students prefer each subject?

UNIT Rate:

The unit cost of an item is the ratio of its cost to its quantity.

12 lbs of rice costs \$8.99 or 2 lbs of rice costs \$2.50. Which is the better buy?

8.99 for 12 pounds or 2.50 for 2 lbs? We need their unit costs:

[pic] [pic]

75 cents per pound or \$1.25 per pound.

The better buy would be 12 lbs of rice for \$8.99.

EXAMPLE: A 30 pound bag of fertilizer costs \$12.25, and an 80 pound bag costs \$30.25. Which is the better buy?

[pic]

Unit Rates and Equations

One of the most useful ways to compare the quantities is to look at the unit rate.

The following are examples of unit rates:

- 45 miles per hour

- 50 kilometers per gallon

- 2 slices per person

- \$15 per CD

What does each rate have in common? One of the numbers being compared is 1 unit.

Definition: a unit rate is a rate in which one of the numbers being compared is 1 unit.

In this activity you will use unit rates to compare the ad prices and to find the costs of various numbers of CDs at each store. The following are 2 ads found in a local paper advertising a sale on CDs.

1. Complete the following equivalent fractions.

a. [pic] ? = b. [pic] ? =

2. What did the ? represent in question 1?

Which store (Sal’s Club or Hal-Mart) has the lower price per CD?

Write the unit rate for each given situation. You may draw a picture (bar), make a table, use division, or any method that makes sense to you.

Tony Parker scored 72 points in 3 games.

A car traveled 390 miles on 15 gallons of gas.

Dell Computers can manufacture 144 laptops

in 8 hours.

Samantha can type 120 words in 3 minutes.

\$12.66 for 8 packages of juice boxes.

\$284 for a 4 day car rental

12 batteries for \$14.76

Andy drove 840 miles in 12 hours.

Gasoline Anyone?

With gasoline prices rising, Mary wants to know which car gets the best gas mileage before she buys a new car. Figure out which car will have the best rate in miles per gallon. Round to the nearest tenth if necessary.

Car 1 375 mi and used 15 gal. __________________

Car 2 651 mi and used 35 gal. __________________

Car 3 464 mi and used 29 gal. __________________

Car 4 552 mi and used 16 gal. __________________

Car 5 408 mi and used 17 gal. __________________

Heart Beats

Susie is comparing the heart rates of 5 different people in her family. Help her determine each person’s heart rate in beats per minute.

Henry (baby brother) – 22 beats in 10 seconds ___________

Mom – 7 beats in 6 seconds ________________

Dad – 32 beats in 30 seconds ________________

Aunt Karen – 18 beats in 20 seconds ________________

Tina (older sister) – 19 beats in 15 seconds

________________

Who has the highest heart rate?

________________

Why do you think this person has the highest?

Fruits and Vegetables

A grocery store advertisement has the following fruits and vegetables for sale:

Apples: 5 for \$1.00

Watermelon: 2 for \$5.00

Corn on the Cob: 10 ears for \$1.00

Broccoli: \$0.50 per bunch

Oranges: 4 for \$1.00

How much will the following cost:

a. 3 apples, 1 watermelon, 5 oranges, 14 ears of corn _________

b. 8 ears of corn, 3 bunches of broccoli, 3 oranges _________

c. 13 apples, 5 watermelon, 10 oranges _________

d. 43 bunches of broccoli, 26 oranges, 34 apples _________

e. 1 apple, 1 watermelon, 1 ear of corn, 1 bunch of broccoli, 1 orange

_________

How Fast Are They?

Jenny is comparing the speed of five different sports. Make a prediction about which sport you think is the fastest when expressed in meters per second. ____________________

Determine the rate in meters per second that each participant is moving. Round to the nearest hundredth if necessary.

Running: 100 m in 9 sec. ___________________

Speed Skating: 500 m in 39.7 sec. ___________________

Skateboarding: 200 m in 1 min. 21 sec. ___________________

Cross-Country Skiing: 4000 m in 6 min. 34 sec. ___________________

Bicycling: 58,761 m in 1 hr. ___________________

Who was the fastest? ___________________

Who was the slowest? ___________________

Who Makes the Most?

Which sport makes the most per hour of playing time? Compare the five sports in terms of dollars per year of play (competition only).

Football: \$60 million for 5 years ___________________

Baseball: \$250 million for 10 years ___________________

Soccer: \$36 million for 2 years ___________________

Auto Racing (NASCAR): \$7 million per year ___________________

Basketball: \$71 million for 6 years ___________________

Which sport makes the most per year of playing time? _____________

Name ______________________ Date ______________ Per_____

Technology on Sale

Stores, catalogs, and Websites often use rates in their ads. The ads sometimes give the cost for several items. You might see an offer like the one shown at the right.

Complete the rate table below.

|Price of Calculators for Schools |

|Number Purchased |

|Slices Purchased |1 |2 |

|0 | | |

|1 | | |

|2 | | |

|3 | | |

|4 | | |

|7 | | |

|10 | | |

|24 | | |

|h | | |

1] What patterns do you see in the table?

2] A constant is a number that does not change from row to row in the table. What is the constant in the table?

3] Where does the unit rate appear in the table?

4] Describe how to use the unit rate to complete the table.

5] If m represents the number of miles and h represents the number of hours, write a mathematical rule that shows the relationship between m and h.

6] Use your rule to predict the number of miles that can be run in 2.6 hours.

7] How would you use your rule to find the number of hours it would take to run 55 miles?

8] Use the table to create a graph of Juan’s distance.

9] Where does the unit rate show up in the graph?

10] Use the graph to find the number of miles in 12 hours.

11] Use the graph to find the number of hours it took to run 30 miles.

12] In problem 3, you found a rule for the table. How can you use this rule in the graph?

Name ______________________ Date ______________ Per_____

The Price of Gas - HW

Kobe paid \$25.50 for 17 gallons of gasoline. Complete the following table using Kobe’s information.

|Number of Gallons (g) |Mathematical Process |Cost in Dollars (c) |

|0 | | |

|1 | | |

|2 | | |

|3 | | |

|4 | | |

|8 | | |

|10 | | |

|21 | | |

|h | | |

1] What patterns do you see in the table?

2] A constant is a number that does not change from row to row in the table. What is the constant in the table?

3] Where does the unit rate appear in the table?

4] Describe how to use the unit rate to complete the table.

5] If c represents the cost in dollars and g represents the number of gallons, write a mathematical rule that shows the relationship between c and g.

6] Use your rule to predict the cost of 4.5 gallons of gas.

7] How would you use your rule to find the number of gallons could be purchased for \$18?

(Use mental math.)

8] Use the table to create a graph of Kobe’s cost.

9] Where does the unit rate show up in the graph?

10] Use the graph to find the cost in dollars for 14 gallons of gas.

11] Use the graph to find the number of gallons that can be purchased for \$28.50.

12] In problem 3, you found a rule for the table. How can you use this rule in the graph?

Which is a Better Deal Notes

|Item A |Item B |

|2 bagels for \$1.30 |6 bagels for \$3.24 |

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|8 books for \$24.80 |6 books for 18.18 |

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|\$740 earned in 40 hours |\$595 earned in 35 hours |

|5 posters for 37.50 |2 posters for 18.50 |

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Which is a Better Deal

Unit Rates

|Column A |Column B |

|2 apples for 36¢ |3 apples for 63¢ |

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|10 lbs of pet food for \$15 |30 lbs of pet food for \$60 |

| | |

|A car that travels 380 miles on 19 gallons of gasoline |A car that travels 460 miles on 20 gallons of gasoline |

|3 sandwiches for \$22.50 |5 sandwiches for \$31.25 |

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|2 W ii games for \$26.50 |6 W ii games for \$ 75 |

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|8 pencils for \$1.60 |15 pencils for \$3.30 |

| | |

[pic]

[pic]

Name ______________________________

Unit Rates Date _______________________________

AIM: What is rate and how can we use it?

DEFINITION OF UNIT RATE

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Imagine Miss Stanley has four options for breakfast. She can have Quaker Cereal Bars, Fiber One, Cinnamon Toast Crunch, or Multigrain Cheerios. Use Unit Rate to help her find the most affordable option. (Round to the nearest cent when you find your answer and star the best deal.)

|Quaker Cereal Bars cost \$3.79 for 10.4 ounces. How much is she paying per ounce? |

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|Fiber One costs \$4.99 for 16.2 ounces of cereal. How much is she paying per ounce? |

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|Cinnamon Toast Crunch costs \$3.89 for 12.8 ounces of cereal. How much is she paying per oz? |

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|Multigrain Cheerios cost \$4.39 for 9 ounces of cereal. How much is she paying per ounce? |

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Use your knowledge of Unit Rates to find the better deal of each pair. Circle your answer.

|1. | |

|3 batteries for \$4.80 |12 batteries for \$14.76 |

|2. | |

|22 staplers for \$330 |4 staplers for \$80 |

|3. | |

|5 calculators for \$105 |24 calculators for \$552 |

|4. | |

|18 pens for \$6.84 |30 pens for \$8.40 |

|5. | |

|11 books for \$99 |29 books for \$203 |

|6. | |

|\$15.98 for 34 liters of soda |\$4.68 for 12 liters of soda |

|7. | |

|39 pens for \$8.19 |11 pens for \$3.41 |

|8. | |

|3 liters of soda for \$1.89 |10 liters of soda for \$6.90 |

|9. | |

|\$407 for 37 books | |

| |\$570 for 42 books |

|10. | |

|12 calculators for \$144 |27 calculators for \$432 |

| | |

UNIT RATE ASSESSMENT

1. A department store is offering a sale on winter coats. The store offers a discount of \$50 on a \$200 coat. Which statement below identifies a discount that is at the same rate?

A. A discount of \$30 on a \$150 coat

B. A discount of \$48 on a \$144 coat

C. A discount of \$20 on a \$100 coat

D. A discount of \$40 on a \$160 coat

2. The price of gasoline at 4 different gas stations is shown in the table below.

[pic]

Which gas station charges the least amount per gallon of gasoline?

F Gas Station K

G Gas Station L

H Gas Station M

J Gas Station N

3. Mrs. Jackson bought 8 pounds of potatoes for \$3.92. Which of the following

represents the same price per pound?

F 10 pounds of potatoes for \$4.70

G 25 pounds of potatoes for \$11.25

H 5 pounds of potatoes for \$2.45

J 20 pounds of potatoes for \$9.60

4. Leon bought a dozen daisies for \$3.75. Which is closest to the amount Leon paid for each daisy?

A \$0.25

B \$0.29

C \$0.31

D \$0.38

5. A store sells potatoes in 5-pound bags for \$2.29. Which of the following bags of potatoes would be the same price per pound?

A A 20-pound bag for \$8.80

B A 2-pound bag for \$1.02

C A 10-pound bag for \$4.58

D A 7-pound bag for \$3.01

6. Peaches are on sale at \$0.95 per pound. Mrs. Hinkle bought 2.75 pounds of peaches. About how much did she pay for the peaches?

A Less than \$1.00

B Between \$1.50 and \$2.00

C Between \$2.50 and \$3.00

D More than \$3.00

7. The Wright Pen Company sells 3-pen packages for \$1.50. Which company sells pens for the same price per pen?

F Jones Pen Company 4-pen packages for \$2.50

G Cavazos Pen Company 5-pen packages for \$3.00

H Smother Pen Company 7-pen packages for \$3.50

J Nottingham Pen Company 9-pen packages for \$5.00

8. An athlete on the school football team can run 20 yards in 2.9 seconds. During the last football game, the athlete ran 64 yards for a touchdown. If the athlete’s rate of speed remained the same, about how long did it take him to run for the touchdown?

A 9.3 sec

B 21.3 sec

C 58 sec

D 19.2 sec

9. DeAndre bought 15 party hats priced at 3 for \$0.65 and 56 noisemakers

priced at 7 for \$1.25What was the total cost of the hats and noisemakers,

not including tax?

F \$9.75

G \$8.75

H \$10.70

J \$13.25

Unit Assessment

1.

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ACTIVITIES

Mixing Juice

Julia and Maria make orange juice for all campers at a summer camp they attend. They plan to make the juice by mixing water and frozen orange-juice concentrate. To find the mix that tastes best, they decide to test some mixes.

|MIX A | |MIX B |

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|2 cups concentrate | |1 cup concentrate |

|3 cups cold water | |4 cups cold water |

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|MIX C | |MIX D |

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|4 cups concentrate | |3 cups concentrate |

|8 cups cold water | |5 cups cold water |

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1] Which mix will make juice that is the most “orangey”? Explain your answer.

2] Which mix will make juice that is the least “orangey”? Explain your answer.

Name ______________________ Date ______________ Per_____

Mixing Juice - CW

For each mix, color squares to create a picture that matches the snap cube models you built.

|MIX A |MIX B |

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|What fraction of the mix is concentrate? |What fraction of the mix is concentrate? |

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|What percent of the mix is concentrate? |What percent of the mix is concentrate? |

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|What fraction of the mix is water? |What fraction of the mix is water? |

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|What percent of the mix is water? |What percent of the mix is water? |

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|MIX C |MIX D |

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|What fraction of the mix is concentrate? |What fraction of the mix is concentrate? |

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|What percent of the mix is concentrate? |What percent of the mix is concentrate? |

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|What fraction of the mix is water? |What fraction of the mix is water? |

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|What percent of the mix is water? |What percent of the mix is water? |

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1] Order the mixes from most orangey to least orangey.

2] Which comparison statement is correct? Explain.

[pic] of Mix B is concentrate [pic] of Mix B is concentrate

Name ______________________ Date ______________ Per_____

Mixing More Juices - HW

Compare these four mixes for apple juice.

|MIX W | |MIX X |

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|1 cups concentrate | |3 cup concentrate |

|4 cups cold water | |6 cups cold water |

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|What percent of the mix is concentrate? | |What percent of the mix is concentrate? |

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|What percent of the mix is water? | |What percent of the mix is water? |

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|MIX Y | |MIX Z |

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|6 cups concentrate | |3 cups concentrate |

|9 cups cold water | |5 cups cold water |

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|What percent of the mix is concentrate? | |What percent of the mix is concentrate? |

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|What percent of the mix is water? | |What percent of the mix is water? |

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1] Which mix would make the most “appley” juice? How do you know?

2] At camp, Miriam uses a pottery wheel to make three bowls in 2 hours. Duane makes six bowls in 3 hours.

a] Who makes bowls faster, Miriam or Duane?

b] At the same pace, how long will it take Miriam to make a set of 12 bowls?

c] At the same pace, how long will it take Duane to make a set of 12 bowls?

Name: ___________________________________ Date: _________________________

Problem 2.1 Making a Mix

Have you ever…made ice tea, lemonade or a sports drink mix by combining powder with water? In this activity, you will be doing exactly that. Then you will have to use your knowledge of part to part and part to whole ratios to complete this worksheet. Consider the following mixes.

[pic] [pic] [pic] [pic]

1. Find the part ( flavoring) of each mix

a. Mix A

b.

c. Mix B

d. Mix C

e. Mix D

2. What is the whole of each mix:

a. Mix A

b.

c. Mix B

d. Mix C

e. Mix D

3. Give the part to whole ratios for each mix as a fraction. (Convert your part to whole ratios to percents. BE SURE TO LABEL!

a. Mix A

b. Mix B

c. Mix C

d. Mix D

4. Use your information from question 3 to determine which mix is the strongest tasting and which drink is the weakest tasting. Explain your answer!

Name: _____________________________________ Date: _________________________

Applications ~ Connections ~ Extensions

You and a friend are making hot chocolate but you are not sure which recipe to choose.

Use these four mixes for hot chocolate to answer the following questions.

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1. Find the part to whole ratio for each mix. Write each as a fraction AND a percent.

Mix A

Mix B

Mix C

Mix D

2. Use the information you found in question 1 to answer the following questions:

a. Which mix will be the most “chocolaty”? Explain.

b. Which mix will be the least “chocolaty”? Explain.

3. Suppose you make only 1 cup of each mix, how much powder would you need to add? Explain.

Mix A

Mix B

Mix C

Mix D

4. Examine these statements about the hot chocolate mixes. Decide whether each statement is accurate. Give reasons for your answers.

a. Mix C has the most water so it will taste the least “chocolaty”.

b. Mix B and Mix C taste the same because you just add 3 scoops of powder and 3 cups of water to turn Mix B into Mix C.

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Name: ___________

Party Time Recording Sheet

1.

Cost per frankfurter : ______________

Cost per Hot Dog Bun: ______________

Cost per bag of Chips: ______________

Cost per soda: ______________

Cost per cookie: ______________

2. Cost for one person? _______________

3. Cost for 25 people: ___________________

Cost for 50 people: ___________________

Cost for 250 people: ___________________

4. If 3 out of the 15 guests chose not to eat your main course item, predict how many would not

eat it for a party of 45 people, 60 people, and 300 people.

45 people: ___________________

60 people: ___________________

300 people: ___________________

Party Time

Proportion Unit Example

Calculate the unit cost of each item on menu.

Calculate the cost per person at your party.

What would the cost be for 20 people to attend your party?

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1. \$74.00 per day

2. 3 hot dogs per person

3. 30 customers per minute

4. 40 words per minute

5. 60 miles per hour

6. 26 candies per student

7. 25 meters per minute

8. 4 people per car

9. \$9.00 per pound

10. 145 buttons per keyboard

11. 54 calories per serving

12. 112 people per taxi

13. 14 dogs per cage

14. 16 kids per playground

15. \$3.72 per hour

16. 12 books per box

17. 27 passengers per bus

18. 198 miles per day

19. 72 pages per notebook

20. 49 laps per day

21. 18 plates per stack

22. 14 apartments per floor

23. 12 houses per block

24. 58 cupcakes per box

25. 22 fish per pond

26. 225 points per game

Teaching Ideas for Unit Rate Cards

Scavenger Hunt ~

- This is a student favorite! I cut out the cards and randomly hang them on the lockers outside my classroom. I then assign each student a number (1 – 26) and that is the card that they start at. The students need to answer each question, making sure that they are going in order. The nice thing about this method is that the kids get to work at their own pace. If they need longer for a question, that this activity provides for that. It’s also a nice change from seat work!

Class Activities ~

- Hand out a few cards to each cooperative group. Have the students solve the cards together and pass to another group when done. The activity is over when all cards have been passed. Share answers when completed.

- Have the students sit in a circle and hand out one card to each student. Have the students answer the questions on their cards and pass to the person on their right after directed to do so. Review all answers when done.

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□ adding or subtracting

□ multiplying or dividing

Unit Rate

Sal’s Club

Compact Disc SALE

5 for \$49.95

Ha⵬慍瑲䌍⁄䅓䕌㜍映牯␠㔶㠮രግ䔠䉍䑅䔠畱瑡潩⹮″ᐠᔁ഍–䵅䕂⁄煅慵楴湯㌮†Ĕകግ䔠䉍䑅䔠畱瑡潩⹮″ᐠᔁ഍–䵅䕂⁄煅慵楴湯㌮†Ĕകግ䠠偙剅䥌䭎∠瑨灴⼺眯睷朮潯汧⹥潣⽭浩牧獥椿杭牵㵬瑨灴⼺眯睷挮楬慰瑲畧摩⹥潣⽭獟慭汬ㄯ㔵ⴲ㤰㘰㈭〴ⴲㄲ㘴樮杰椦杭敲畦汲栽瑴㩰⼯睷⹷汣灩牡杴極敤挮浯弯慰敧⽳㔱㈵〭〹ⴶl-Mart

CD SALE

7 for \$65.80

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Calculators for School

Fraction \$120 for 20

Scientific \$240 for 15

Graphing \$800 for 10

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Pizza by the Slice

Papa Johns’s \$3.60 for 3 Slices

Pizza Hut \$5.80 for 4 Slices

Little Cesears \$2.60 for 2 slices

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MIX A

2 scoops powder

6 ounces water

MIX B

1 scoop powder

2 ounces water

MIX C

2 scoops powder

3 ounces water

MIX D

3 scoops powder

5 ounces water

MIX A

5 scoops powder

8 cups water

MIX B

3 scoop powder

6 cups water

MIX C

6 scoops powder

9 cups water

MIX D

3 scoops powder

5 ounces water

Group 1

1.

\$284 for a 4 day

car rental.

3.

784 people

in 7 taxies.

2.

A grocery store has

600 customers in

20 minutes.

Group 2

4.

54 hot dogs for

18 people.

5.

20 people

in 5 cars.

6.

160 words typed

in 4 minutes.

6.

Driving 180 miles

in 3 hours.

Group 3

8.

650 candies for

25 students.

7.

Swimming

150 meters

in 6 minutes.

Group 4

10.

486 calories in

9 servings of pie.

9.

\$36 for

4 pounds

of shrimp.

11.

725 buttons

on 5 keyboards.

16.

72 books in

6 boxes.

15.

Babysitting at a rate of

\$18.60 for

5 hours.

Group 5

12.

434 dogs in

31 cages.

14.

896 kids on

56 playgrounds.

13.

72 plates in

4 stacks.

Group 6

15.

648 pages in

9 notebooks.

17.

Swimming 245 laps in 5 days.

16.

42 apartments

on 3 floors.

18.

36 houses

on 3 blocks.

Group 7

20.

406 cupcakes

in 7 boxes.

19.

550 points scored

in 2 games

of bowling.

21.

54 passengers on 2 buses.

Group 8

23.

Driving 594 miles

in 3 days.

22.

572 fish for

26 ponds.

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