pdf Rotating Objects Around The Origin - 90 and 180 Degrees

This multi-step transformations activity challenges students to rotate 12 different figures around the origin using 90° clockwise, 90° counterclockwise, and 180° rotations. Students must apply rotation rules, determine new coordinates, and record results in organized tables before graphing the rotated images.

The worksheet includes triangles and parallelograms positioned across multiple quadrants. Students rotate each figure according to specific directions and observe how the images move into the first quadrant. By the end of the activity, all rotated objects combine to form a larger composite design, reinforcing accuracy and precision in coordinate transformations.

Because students must repeatedly apply rotation rules such as \((x, y) \rightarrow (y, -x)\), \((x, y) \rightarrow (-y, x)\), and \((x, y) \rightarrow (-x, -y)\), this resource builds strong procedural fluency while strengthening conceptual understanding of rigid transformations and quadrant relationships.

Skills Assessed

• Rotating figures 90° clockwise

• Rotating figures 90° counterclockwise

• Rotating figures 180° around the origin

• Recording original and image coordinates

• Analyzing quadrant changes under rotation

• Applying rigid transformation rules accurately

Classroom Use

• Transformations unit project

• Rotation review activity

• Small-group challenge task

• Performance-based assessment

• Enrichment or extension activity

Details

• 4 pages

• Includes student version and answer key

• 12 rotating objects that form a composite design

• Coordinate grids and tables included

ID# 0588