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=20240727T120547Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=aa7a601127ab76e18aaba412deebe5a2f2bda72aaa1239d4c00606ced99a78ef)
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=20240727T120548Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=75267d86ca3ba197638cb472c8c522d66fdf5538b8fc1abe6df7b62f8e46bda3)
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=20240727T120548Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=001d47287e955481a2e4a5ee616e3bdc6c26407d84e03c05f3d94e25be3873b6)
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=20240727T120548Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=16032e06f02398a015eda091464f81f7398a2bef3ef7e0d9018dd7d25996c493)