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.
- The ratio of bananas to apples is ________ : ________.
- The ratio of plums to apples is ________ to ________.
- For every ________ apples, there are ________ plums.
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For every 3 bananas there is one ________.
Problem 2
Complete the sentences to describe this picture.
![4 cats and 3 dogs.](https://cms-im.s3.amazonaws.com/MVaccXsqsTVrZUcVYWgfYMq2?response-content-disposition=inline%3B%20filename%3D%226-6.2.A.PP_Image_1.png%22%3B%20filename%2A%3DUTF-8%27%276-6.2.A.PP_Image_1.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240726%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240726T233003Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=88fba080fae8937691c04618cce10c2f61ff6fde616bb33200f4f6d1cea2240f)
- The ratio of dogs to cats is ________.
- 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.](https://cms-im.s3.amazonaws.com/XdFsZ6DQRUM5P6F2URH7athJ?response-content-disposition=inline%3B%20filename%3D%226-6.2.A.PP_Image_2.png%22%3B%20filename%2A%3DUTF-8%27%276-6.2.A.PP_Image_2.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240726%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240726T233003Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=688dcce7201a021885d94053de79e94b26502afbc4f44b2ffd3d22f44cf1e53a)
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
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
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Compare the volumes of the prisms and then their surface areas. Does the prism with the greater volume also have the greater surface area?
Problem 6
Which figure is a triangular prism? Select all that apply.
![Five figures representing three dimensional solids labeled A through E.](https://cms-im.s3.amazonaws.com/pxx5tn7JLDvChzs2qzxyfjc1?response-content-disposition=inline%3B%20filename%3D%226-6.1.E.PP.New.Image.10.png%22%3B%20filename%2A%3DUTF-8%27%276-6.1.E.PP.New.Image.10.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240726%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240726T233003Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=308aaeabe27f09beed49e1deebbfc1270c3b901fe518a960a2068e6a1bac9f04)
A:
A
B:
B
C:
C
D:
D
E:
(From Unit 1, Lesson 13.)
E