Lesson 1
Introducing Ratios and Ratio Language
Problem 1
In a fruit basket there are 9 bananas, 4 apples, and 3 plums.
- The ratio of bananas to apples is ________ : ________.
- The ratio of plums to apples is ________ to ________.
- For every ________ apples, there are ________ plums.
-
For every 3 bananas there is one ________.
Solution
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Problem 2
Complete the sentences to describe this picture.
- The ratio of dogs to cats is ________.
- 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.
Solution
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Problem 4
Choose an appropriate unit of measurement for each quantity.
- area of a rectangle
- volume of a prism
- side of a square
- area of a square
- 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.
-
Prism A: 3 cm by 3 cm by 3 cm
-
Prism B: 5 cm by 5 cm by 1 cm
-
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.
A
B
C
D
E
Solution
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(From Unit 1, Lesson 13.)