Lesson 3

Recipes

Problem 1

A recipe for 1 batch of spice mix says, “Combine 3 teaspoons of mustard seeds, 5 teaspoons of chili powder, and 1 teaspoon of salt.” How many batches are represented by the diagram? Explain or show your reasoning.

A discrete diagram.

 

Solution

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Problem 2

Priya makes chocolate milk by mixing 2 cups of milk and 5 tablespoons of cocoa powder. Draw a diagram that clearly represents two batches of her chocolate milk.

Solution

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Problem 3

In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1.

  1. Find two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.
  2. Describe another mixture of sparkling water and grape juice that would taste different than this recipe.

Solution

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Problem 4

Write the missing number under each tick mark on the number line.

Number line with 5 tick marks. Labels: starting with 18, blank, 30, blank, 42. 

Solution

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(From Unit 2, Lesson 1.)

Problem 5

At the kennel, there are 6 dogs for every 5 cats.

  1. The ratio of dogs to cats is ______ to ______.
  2. The ratio of cats to dogs is ______ to ______.
  3. For every ______ dogs there are ______ cats.
  4. The ratio of cats to dogs is ______ : ______.

Solution

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(From Unit 2, Lesson 1.)

Problem 6

Elena has 80 unit cubes. What is the volume of the largest cube she can build with them?

Solution

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(From Unit 1, Lesson 17.)

Problem 7

Fill in the blanks to make each equation true.

  1. \(3 \boldcdot \frac13 = \text{_______}\)
  2. \(10 \boldcdot \frac{1}{10} = \text{_______}\)
  3. \(19 \boldcdot \frac{1}{19} = \text{_______}\)
  4. \(a \boldcdot \frac{1}{a}= \text{_______}\)
    (As long as \(a\) does not equal 0.)
  1. \(5 \boldcdot \text{_______} = 1\)
  2. \(17 \boldcdot  \text{_______} = 1\)
  3. \(b \boldcdot \text{_______} = 1\)

Solution

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(From Unit 2, Lesson 1.)