Lesson 2
Naming the Moves
Problem 1
Each of the six cards shows a shape.
![6 panels each showing the one of three different figures in different positions and orientations.](https://cms-im.s3.amazonaws.com/FgwTRVKgxqEpiyEPbW1sULLt?response-content-disposition=inline%3B%20filename%3D%228-8.1.A.PP.Image.0005.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.A.PP.Image.0005.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T172417Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=fa8e8aba2986d1173a31635723ba2771d6f21dffab5b4949e00551c8a9691927)
- Which pair of cards shows a shape and its image after a rotation?
- Which pair of cards shows a shape and its image after a reflection?
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 2
The five frames show a shape's different positions.
![5 panels showing the same figure in different positions and orientations.](https://cms-im.s3.amazonaws.com/xHJ88MokH9cUEYscp4QtjQui?response-content-disposition=inline%3B%20filename%3D%228-8.1.A.PP.Image.0004.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.A.PP.Image.0004.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T172417Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=d4a80df2ca44d07244d98e1a9166b2763ed67f944168e03cac56063515806a5e)
Describe how the shape moves to get from its position in each frame to the next.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
Problem 3
The rectangle seen in Frame 1 is rotated to a new position, seen in Frame 2.
![A figure of rectangular Frame 1 and Frame 2, each with a rectangle.](https://cms-im.s3.amazonaws.com/PEKMuaBbfRHBnaaF1Q44gVUo?response-content-disposition=inline%3B%20filename%3D%228-8.1.A1.newPP.03.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.A1.newPP.03.png&response-content-type=image%2Fpng&X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAXQCCIHWF3XOEFOW4%2F20240630%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240630T172417Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=421f24dc6ed26bb93a41cec5d6b816cc624587f25d5e1d825bb300bf1fe93124)
Select all the ways the rectangle could have been rotated to get from Frame 1 to Frame 2.
40 degrees clockwise
40 degrees counterclockwise
90 degrees clockwise
90 degrees counterclockwise
140 degrees clockwise
140 degrees counterclockwise
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.
(From Unit 1, Lesson 1.)