Interactive Lesson • Grade 9 • Transformations

Rotation: Silent Starter → Objective → Exploration

Use this page on the projector (or students’ devices). It reveals prompts in sequence, runs a timer, assigns group roles, and collects an exit ticket.

1 Starter 2 Goal 3 Exploration 4 Exit Ticket
Timer
05:00
Tip: Use 5:00 for the starter. You can reset anytime.

Starter (5 minutes) — Observe first

Show one image. No talking. Students work in groups of 4.

Starter image (https://ibgrouptutors.com/wp-content/uploads/2026/02/ChatGPT-Image-Jan-29-2026-12_27_13-PM.png)
Teacher moves (silent)
  1. 0–1 min: Point to the image only. Let them look.
  2. 1–3 min: Reveal Q1–Q2 below. Walk and observe.
  3. 3–4 min: Reveal Q3. Point once at O.
  4. 4–5 min: Reveal banned words. Let groups refine answers.
Group roles (quick)

Click “Assign Roles” for random roles.

Prompts

In your group, write answers only:

  1. What stayed the same?
  2. What changed?
  1. What do you think point O is doing?
Constraint: Do NOT use these words:
rotaterotationturnangle

Today’s Goal & Success Criteria

Show after the starter. Keep it short and student-friendly.

Today’s Goal

Understand how a shape moves around a fixed point.

By the end, you should be able to:

  • Describe what changes and what stays the same.
  • Identify the fixed point (centre) of the movement.
  • Predict where a point will move to.
  • Explain the movement using diagrams and coordinates.
Expectation: You will not be given rules first — you will discover them.

Exploration (Groups of 4) — Make the movement

Students rotate points and shapes first, then generalize. No formulas yet.

Task A — Rotate a shape (180°)
  1. Trace the shape on grid paper (or use a transparent sheet).
  2. Mark the fixed point O.
  3. Rotate the tracing half a turn around O.
  4. Draw the image and label it.
  5. Write: What stayed the same? What changed?
Teacher silent prompt: “How do you know it’s the same distance from O?”
Task B — Rotate points (discover the rule)

Use a grid (or Desmos). Plot the originals. Then plot the images after a 180° rotation about the origin. Students should infer the coordinate rule.

Image after 180° about origin:
(?, ?)
Ask students: “What happened to x? what happened to y?”

Optional Challenge (fast groups)

Try a quarter turn about the origin using a few points on a grid. Describe the pattern you notice. (Do not give the formula yet—just patterns.)

Exit Ticket (Individual)

Students prove understanding without relying on the keyword.

Rule: Do NOT use these words: rotation, clockwise, anticlockwise
Self-check

Use your rule from exploration to check the predicted image.

Correct image:
(?, ?)

(Copies to clipboard for easy collection or LMS submission.)
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