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6-8 Grade 6 Unit 2 Lesson 3

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K-5 Math •6-8 Math 9-12 Math

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•Grade 6 Grade 7 Grade 8

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Lesson 1 Lesson 2 •Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 Lesson 14 Lesson 15 Lesson 16 Lesson 17

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Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7
Unit 8
Unit 9

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Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
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Lesson 16
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Curriculum

IM K-5 Math
IM 6-8 Math
IM 9-12 Math

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Lesson 3

3.1 Warm-up 3.2 Activity 3.3 Activity Student Lesson Summary

Unit 2, Lesson 3

Recipes

Grade 6

3.1

Warm-up

Flower Pattern

This flower is made up of yellow hexagons, red trapezoids, and green triangles.

<p>A figure that contains 6 yellow hexagons, 2 red trapezoids, and 9 green triangles.</p>

Write sentences to describe the ratios of the shapes that make up this pattern.
How many of each shape would be in two copies of this flower pattern?

Are You Ready for More?

3.2

Activity

Powdered Drink Mix

Here are diagrams representing three mixtures of powdered drink mix and water:

<p>A discrete diagram for three quantities.</p>

How would the taste of Mixture A compare to the taste of Mixture B?
Use the diagrams to complete each statement:
1. Mixture B uses cups of water and teaspoons of drink mix.
  
  The ratio of cups of water to teaspoons of drink mix in Mixture B is .
2. Mixture C uses cups of water and teaspoons of drink mix.
  
  The ratio of cups of water to teaspoons of drink mix in Mixture C is .
How would the taste of Mixture B compare to the taste of Mixture C?

Are You Ready for More?

3.3

Activity

Batches of Cookies

A recipe for one batch of cookies calls for 5 cups of flour and 2 teaspoons of vanilla.

Draw a diagram that shows the amount of flour and vanilla needed for two batches of cookies.
How many batches can you make with 15 cups of flour and 6 teaspoons of vanilla? Show the additional batches by adding more ingredients to your diagram.
How much flour and vanilla would you need for 5 batches of cookies?
Whether the ratio of cups of flour to teaspoons of vanilla is , , or , the recipes would make cookies that taste the same. We say that these ratios are equivalent.
1. Find another ratio of cups of flour to teaspoons of vanilla that is equivalent to these ratios.
2. How many batches can you make using this new ratio of ingredients?

Are You Ready for More?

Student Lesson Summary

A recipe for fizzy juice says, “Mix 5 cups of cranberry juice with 2 cups of soda water.”

To double this recipe, we would use 10 cups of cranberry juice with 4 cups of soda water. To triple this recipe, we would use 15 cups of cranberry juice with 6 cups of soda water.

This diagram shows a single batch of the recipe, a double batch, and a triple batch:

<p>Equivalent ratios of a recipe for fizzy juice.</p>

We say that the ratios , , and are equivalent. Even though the amounts of each ingredient within a single, double, or triple batch are not the same, they would make fizzy juice that tastes the same.

Glossary

None

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