Illustrative Math Grade 7 Unit 2 Lessons 1-6

Here are three different recipes for Orangey-Pineapple Juice. Two of these mixtures taste the same and one tastes different.

Recipe 1: Mix 3 cups of orange juice with 1 cups of pineapple juice.

Recipe 2: Mix 4 cups of orange juice with 2 cups of pineapple juice.

Recipe 3: Mix 9 cups of orange juice with 3 cups of pineapple juice.

Which recipe will taste different?

• Recipe 1

• Recipe 2

• Recipe 3

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Here is a recipe for Orangey-Pineapple Juice. 

Recipe 1: Mix 3 cups of orange juice with 1 cups of pineapple juice.

Write an equation relating the amount of orange juice to the amount of pineapple juice in the recipe.

• o = 3p

• p = $\frac{1}{3}$ o

• o = $\frac{1}{3}$ p

• p = 3o

Tags

CCSS.6.EE.B.6

CCSS.6.EE.C.9

CCSS.6.RP.A.1

How many cups of yellow paint should you mix with 1 cup of blue paint to make the same shade of green?

• 10

• 5

• 9

• 4

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.3

Which of the following would make the same shade of green? Choose all that apply.

• 3 blue, 15 yellow

• $\frac{1}{2}$ blue, $2\frac{1}{2}$ yellow

• 4 yellow, 20 blue

• $\frac{1}{5}$ blue, 1 yellow

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

What is the proportional relationship represented by this table?

• The relationship between the amount of blue paint and the amount of yellow paint.

• 2 blue and 10 yellow

• Green paint

• The relationship between the amount of yellow paint and the amount of green paint.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

What is the constant of proportionality in this table?

• 2

• 1

• 10

• 5

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Mai is filling her fish tank. Water flows into the tank at a constant rate.

How many gallons of water will be in the the fish tank after 3 minutes?

• 1.6

• 4.8

• 0.8

• 25

Tags

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Mai is filling her fish tank. Water flows into the tank at a constant rate.

How long will it take her to fill the tank with 40 gallons of water?

• 0.5

• 25

• 50

• 40

Tags

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Mai is filling her fish tank. Water flows into the tank at a constant rate.

What is the constant of proportionality?

• 0.5

• 4.8

• 0.8

• 1.6

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Snow is falling steadily in Portsmouth, New Hampshire. After 2 hours, 6 inches of snow has fallen.

If it continues to snow at the same rate, how many inches would you expect after 5 hours?

• 12

• 6

• 15

• 10

Tags

CCSS.6.EE.B.6

CCSS.6.EE.B.7

CCSS.6.EE.C.9

CCSS.6.RP.A.2

CCSS.6.RP.A.3