Rotations and Coordinate Rules

Rotations and Coordinate Rules

What students learn

Students learn that a rotation turns a figure around a center point without changing its size. Begin with Rotation: Make a Quarter Turn Clockwise to see the first turn rule in action.

Why it matters

Rotations are easier to understand when students connect the motion to coordinate changes. Rotation: Make a Half Turn Around the Origin shows how a 180-degree turn shifts both coordinates at once.

Learn the idea

The most advanced step is describing the transformation with coordinates instead of only with arrows. Rotation: Describe the Rule with Coordinates helps students explain what changed and how the image moved.

Try it

Give the student a point such as (3, 1) and ask them to predict the image after a 90-degree clockwise rotation and a 180-degree rotation. Then have them explain the rule in words.

Parent guide

Keep the center of rotation visible on paper. If the student gets stuck, ask them to trace the point around the origin with their finger before writing the new coordinates.