to make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. if charlie...

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To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips will he need to use?

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5 ways to solve ratio problems Let’s Review 1) Table with addition Cups of grape juice2468 Cups of apple juice

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Page 1: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

To make chocolate chip cookies, use 4 cups of flour for every 3 cups of

chocolate chips.

If Charlie uses 12 cups of flour, how many cups of chocolate chips will he

need to use?

Page 2: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

In this lesson you will learn to solve ratio problems by

choosing the strategy you like the best.

Page 3: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

5 ways to solve ratio problems

Let’s Review

1) Table with addition

Cups of grape juice 2 4 6 8

Cups of apple juice 3 6 9 12

+3

+3

+2 +2+2

+3

Page 4: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewLet’s Review

x4

x4

Cups of grape juice 2 8

Cups of apple juice 3 12

2) Table with multiplication

Page 5: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewLet’s Review

3) Double number lines

cups of grape juicecups of apple juice

0

0

2

3

4

6

6

9

8

12

x4

x4

Page 6: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewLet’s Review

4) Tape diagrams

cups of apple juice

cups of grape juice 2

3

12

3 3 3

3 x 4 = 12

2 2 2

2 x 4 = 8

Page 7: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s RevieLet’s Review

5) Graphing

cups of grape juice

cups of apple juice

+3+

2

Page 8: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewA Common Mistake

Thinking there is only 1 right way to solve a ratio problem

1) Table with addition2) Table with multiplication3) Double number lines4) Tape diagrams5) Graphing

Page 9: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewCore LessonTo make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips will he need to use?

Cups of flour

Cups of chocolate chips

Cups of flour 4

Cups of chocolate chips

3

Cups of flour 4 8

Cups of chocolate chips

3 6

+3

Cups of flour 4 8 12

Cups of chocolate chips

3 6 9

+4 +4

+3

1) Table with addition

Page 10: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewCore LessonTo make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips will he need to use?

Cups of flour

Cups of chocolate chips

x3

x3

Cups of flour 4

Cups of chocolate chips

3

Cups of flour 4 12

Cups of chocolate chips

3

Cups of flour 4 12

Cups of chocolate chips

3 9

2) Table with multiplication

Page 11: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewCore LessonTo make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips will he need to use?

3) Double number line

cups of flour

cups of choc. chips

0

0

4

3

12

9

x3

x3

Page 12: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewCore LessonTo make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips will he need to use?

4) Tape diagram

cups of choc. chips

cups of flour4

3

124 x 3 = 12

3 x 3 = 9

4 4

3 3

Page 13: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewCore Lesson 5) GraphingCups of flour

Cups of chocolate chips

xy

cups of flour

cups of choc. chips

Cups of flour 0

Cups of chocolate chips

0

Cups of flour 0 4

Cups of chocolate chips

0 3

Cups of flour 0 4 8

Cups of chocolate chips

0 3 6

Cups of flour 0 4 8 12

Cups of chocolate chips

0 3 6 9

+3

+4

+4

+3

Page 14: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

In this lesson you have learned to solve ratio problems by

choosing the strategy you like the best.

Page 15: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewGuided PracticeTo make light blue paint, you mix 2 gallons of white paint for every 5 gallons of blue paint. How many gallons of white paint will you need for 20 gallons of blue paint? Use any method to solve this problem.

Page 16: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewGuided Practice

Page 17: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewGuided Practice

Page 18: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewGuided Practice

Page 19: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewGuided Practice

Page 20: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewExtension Activities

Soda is on sale: 2 bottles for $4. How much would it cost to buy 7 bottles of soda? Use any method to solve this problem.

Page 21: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewExtension Activities

Which strategy do you like best for solving ratio problems? Why?

Page 22: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewExtension Activities

To make Kool-Aid, use 5 tablespoons of Kool-Aid mix for every 3 cups of water. How many cups of water will you need for 10 tablespoons of Kool-Aid mix? Use any method to solve this problem.

Page 23: To make chocolate chip cookies, use 4 cups of flour for every 3 cups of chocolate chips. If Charlie uses 12 cups of flour, how many cups of chocolate chips

Let’s ReviewQuick QuizStrawberries are on sale for a price of $5 for 2 pounds. If you buy 10 pounds of strawberries, how much will it cost? Use any method to solve this problem.

Ellie made iced tea by using 3 cups of sugar for every 7 cups of tea. If she used 21 cups of tea, how many cups of sugar did she use? Use any method to solve this problem.