Lesson 4: Rotation & Reflection Rules

Year 9 60 mins Geometry

Learning Intention

I can perform reflections across a mirror line and rotations around a centre point.

Success Criteria

  • I can reflect a shape across a vertical or horizontal line (equidistant).
  • I can rotate a shape 90° or 180° around a specific point.
  • I can describe the difference between a reflection and a rotation.

Lesson Sequence

1. Visual Hook (10 mins)

Show two images: One reflected in water (Reflection) and a pinwheel (Rotation).

Which one is which? How do you know?

2. Explicit Teaching: Reflection (15 mins)

Key Concept: Every point on the image is the same distance from the mirror line as the original.

Demo: Verify with a ruler. "A is 2 squares from the line, so A' must be 2 squares on the other side."

3. Explicit Teaching: Rotation (15 mins)

Key Concept: You need a Centre of Rotation. Use tracing paper.

1. Trace the Shape.

2. Put pencil on the Centre Point.

3. Turn the paper 90° (Quarter Turn). Trace the new position.

4. The Whāriki Block Challenge (20 mins)

Context: Whāriki (woven mats) often use rotational symmetry to create blocks.

Task: Start with one triangle motif in the top-left corner of a 2x2 grid.

  • Level 1: Reflect it right, then reflect bottom.
  • Level 2: Rotate it 90° clockwise three times to fill the grid.
  • Level 3: Create a complex block using a mix of both.