Lesson 1
Moving in the Plane
Problem 1
The six frames show a shape's different positions.
![6 panels showing the same figure in different positions and orientations.](https://cms-im.s3.amazonaws.com/N9n727f4QVgoA79yhrsukSJX?response-content-disposition=inline%3B%20filename%3D%228-8.1.A.PP.Image.0003.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.A.PP.Image.0003.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=20240727T001049Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=22f193c10bbccaaef3c3df06f3a4daa35b91472bb4ce9875db156ef8150064b6)
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 2
These five frames show a shape's different positions.
![Five numbered cards showing different positions of a polygon.](https://cms-im.s3.amazonaws.com/jbhnk2nyuyMpgWwFnc2fCCo8?response-content-disposition=inline%3B%20filename%3D%228-8.1.A1.Image.Revision.42.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.A1.Image.Revision.42.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=20240727T001049Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=bf55a56cc6e5c84730e89cbbe5b9618f5b172c9a6a3f7b3d9cf69e56a7a9ec35)
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
Diego started with this shape.
![A card with a polygon on the upper left side.](https://cms-im.s3.amazonaws.com/oBxvxT73uzaPna7VsZEMPULQ?response-content-disposition=inline%3B%20filename%3D%228-8.1.A1.newPP.01.png%22%3B%20filename%2A%3DUTF-8%27%278-8.1.A1.newPP.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=20240727T001049Z&X-Amz-Expires=604800&X-Amz-SignedHeaders=host&X-Amz-Signature=11c1e0b594028d6008315d68425048d32c90b270fd0192f05195c32eafcd3fb1)
Diego moves the shape down, turns it 90 degrees clockwise, then moves the shape to the right. Draw the location of the shape after each move.
Solution
Teachers with a valid work email address can click here to register or sign in for free access to Formatted Solution.