Lesson 1

Introducing Ratios and Ratio Language

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Problem 1

In a fruit basket there are 9 bananas, 4 apples, and 3 plums. 

  1. The ratio of bananas to apples is ________  : ________.
  2. The ratio of plums to apples is ________ to ________.
  3. For every ________ apples, there are ________ plums.

  4. For every 3 bananas there is one ________.

 

Solution

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Problem 2

Complete the sentences to describe this picture.

4 cats and 3 dogs.
  1. The ratio of dogs to cats is ________.
  2. For every ________ dogs, there are ________ cats.

 

Solution

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Problem 3

Write two different sentences that use ratios to describe the number of eyes and legs in this picture.

A hippopotamus with 2 eyes and 4 legs and a turtle with 2 eyes and 4 legs.

Solution

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Problem 4

Choose an appropriate unit of measurement for each quantity.

  1. area of a rectangle
  2. volume of a prism
  3. side of a square
  4. area of a square
  5. volume of a cube
  • cm
  • cm3
  • cm2

 

Solution

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(From Unit 1, Lesson 17.)

Problem 5

Find the volume and surface area of each prism.

  1. Prism A: 3 cm by 3 cm by 3 cm

    A cube whose length, width, and height are each 3 centimeters.

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  2. Prism B: 5 cm by 5 cm by 1 cm

    A photo of a prism made up of interlocking cubes. Each side is 5 cubes long. The prism is 1 cube tall. 

  3. Compare the volumes of the prisms and then their surface areas. Does the prism with the greater volume also have the greater surface area?

 

Solution

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(From Unit 1, Lesson 16.)

Problem 6

Which figure is a triangular prism? Select all that apply.

Five figures representing three dimensional solids labeled A through E.
A:

A

B:

B

C:

C

D:

D

E:

E

Solution

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(From Unit 1, Lesson 13.)