Angles of Rotation in Regular Polygons

Free to teach as-is — the teacher guide, student handout, and slides are included.

Free — we'll email you an access link. Google Docs format.

Objective

Students will describe and calculate the angles of rotation that carry a regular polygon onto itself.

Part 1 of 3

Warm-up video

Unknown Channel · 5:00

We don't generate video — this one is by Unknown Channel on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.

Part 2 of 3

Practice

7 questions

1

Define rotational symmetry in your own words.

2

Explain how to determine if a polygon is a regular polygon.

Part 3 of 3

Exit ticket

Quick comprehension check

What is the smallest angle of rotation that will map a regular nonagon (9 sides) onto itself? Show your work. A regular dodecagon (12 sides) is rotated 30°. Does this rotation map the dodecagon onto itself? Explain why or why not. A regular pentagon is rotated around its center. List three different angles of rotation, less than 360°, that will map the pentagon onto itself. Show your work.

Sample answer included in the free materials

Get the materials

Teacher guide, student handout, and slides — free, in Google Docs format

  • Teacher Guide

    Complete lesson plan with answer keys and alternate activities

  • Student Handout

    Printable worksheet

  • Slides

    Ready to present

We'll ask for your email to send your access link — nothing else.

Teaching a group at a different level?

Where are your students right now? We'll rebuild this lesson to match — including the teacher guide, student handout, and slides, saved to your Google Drive.

Adapt This Lesson