Lesson 1
What are Scaled Copies?
Let’s explore 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://staging-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=AKIAXQCCIHWF37H2AMFB%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T085908Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=72fb6f31e9151c728bbbccf75e7b05e3f38d29a50324bf3855993cec23a16adf)
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://staging-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=AKIAXQCCIHWF37H2AMFB%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T085908Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=95421329475225489d516934d42331fdc9a1f269fecd09ddb5d906a85e73115d)
Problem 3
Complete each equation with a number that makes it true.
- \(5 \boldcdot \text{______} = 15\)
- \(4 \boldcdot \text{______} = 32\)
- \(6 \boldcdot \text{______} = 9\)
- \(12 \boldcdot \text{______} = 3\)
Problem 4
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://staging-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=AKIAXQCCIHWF37H2AMFB%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T085908Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=e79fe7670c048389e759828a09046c1a7827717beeca105b995f03e3bae3e848)
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://staging-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=AKIAXQCCIHWF37H2AMFB%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T085908Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=64869763022a781ea349542608d9120e8546a2d0c28276842d7d03e4a39c94d3)