Lesson 1
What are Scaled Copies?
Problem 1
Here is a figure that looks like the letter A, along with several other figures. Which figures are scaled copies of the original A? Explain how you know.
![An original figure of the letter A and 4 other figures on a grid.](https://cms-im.s3.amazonaws.com/T1Gti4Mjdu2bvs99hbq82cvF?response-content-disposition=inline%3B%20filename%3D%227-7.1.A.PP.Image.03.png%22%3B%20filename%2A%3DUTF-8%27%277-7.1.A.PP.Image.03.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T000231Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=3c5ee4df2f5e60e3346967b2a0c916a13263b5049c8116dec9e2e5b44c0fa76a)
Solution
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Problem 2
Tyler says that Figure B is a scaled copy of Figure A because all of the peaks are half as tall.
Do you agree with Tyler? Explain your reasoning.
![Two 12 sided figures in the shape of a W are labeled A and B.](https://cms-im.s3.amazonaws.com/nKBHoLkqRYK6QM9JFwQqmEyt?response-content-disposition=inline%3B%20filename%3D%227-7.1.PP.New.Image.01.png%22%3B%20filename%2A%3DUTF-8%27%277-7.1.PP.New.Image.01.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T000231Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=3807e01ff409c5a698e387901e84a24d3db7de40dfbfcf42532bc9d740754f31)
Solution
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Problem 3
Here is a picture of the Rose Bowl Stadium in Pasadena, CA.
![A satellite image looking down on a stadium in the shape of an oval. The stadium is slightly wider than it is tall.](https://cms-im.s3.amazonaws.com/yXjKXmQsxLyZ5HiSKxnEqyey?response-content-disposition=inline%3B%20filename%3D%227-7.1.B.PP.Image.01.png%22%3B%20filename%2A%3DUTF-8%27%277-7.1.B.PP.Image.01.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T000231Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=09f6f58bdbcdee72813fb97008486fc16ac673d1b96fb8af73e574a6e282cc0d)
Here are some copies of the picture. Select all the pictures that are scaled copies of the original picture.
![4 images of the original picture of the Rose Bowl. These images each have different dimensions.](https://cms-im.s3.amazonaws.com/ALDL2XRgUdCrtmX2aaSZzDeP?response-content-disposition=inline%3B%20filename%3D%227-7.1.B.PP.Image.02.1.png%22%3B%20filename%2A%3DUTF-8%27%277-7.1.B.PP.Image.02.1.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T000231Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=08076f9722dd7d218ef2d027de6f9a2a0be01ab8887c21d67fc09711c648aabd)
Solution
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Problem 4
Complete each equation with a number that makes it true.
- \(5 \boldcdot \text{______} = 15\)
- \(4 \boldcdot \text{______} = 32\)
- \(6 \boldcdot \text{______} = 9\)
- \(12 \boldcdot \text{______} = 3\)
Solution
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