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://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%2F20240726%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240726T234233Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=36ab8d26c16068b8b1b2b7d1f387a94df03fdc2396ad0c577bdf9bbb0b55cae6)
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%2F20240726%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240726T234233Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=7e4ac16a397ebe161699ec6cc592865c0e3396885155522bd64785cd6aefc912)
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%2F20240726%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240726T234233Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=05abfb173a34d33f53a56554c0a5f91203199d9645d0662699e9f0720c222b8e)
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%2F20240726%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240726T234233Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=defc7bcb11c38940a4d0a6fbedea62d0a516f6b0d0cb07d7755c54d98d7800e6)
Problem 4
Complete each equation with a number that makes it true.
- \(5 \boldcdot \text{______} = 15\)
- \(4 \boldcdot \text{______} = 32\)
- \(6 \boldcdot \text{______} = 9\)
- \(12 \boldcdot \text{______} = 3\)