Lesson 1

Introducing Ratios and Ratio Language

Let’s describe two quantities at the same time.

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 ________.


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.


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.

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


(From Grade6, 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.

  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?


(From Grade6, 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.










(From Grade6, Unit 1, Lesson 13.)