📐 Part 1: Geometric Shapes and Transformations

1. Identify the 2D shapes commonly found in traditional Māori kōwhaiwhai patterns:

Triangles (tapatoru)

Rectangles

Circles

Diamonds

Spirals

2. What is the sum of interior angles in a quadrilateral shape that might be used in Wairaka-inspired art?

180°

270°

360°

450°

3. Which geometric transformation creates a mirror image across a line?

Translation

Reflection

Rotation

Scaling

4. In the space below, draw a triangle and show it reflected across a vertical line:

🎨 Part 2: Creating Wairaka-Inspired Geometric Art

5. Design a geometric pattern inspired by Wairaka's story using at least three different 2D shapes. Include one example each of translation, reflection, and rotation in your design:

6. Explain how your design connects to Wairaka's story of courage and leadership:

7. List the geometric transformations you used in your design and describe where you applied each one:

8. If you wanted to scale your entire pattern by a factor of 2, what would happen to:

a) The lengths of each side? _________________

b) The area of each shape? _________________

c) The angles within each shape? _________________

🤔 Part 3: Reflection and Mathematical Communication

9. Describe one challenge you faced while creating your geometric artwork and how you solved it using mathematical reasoning:

10. How do geometric patterns in Māori art demonstrate mathematical concepts? Give two specific examples:

11. Complete this reflection: "The most important geometric concept I learned while creating Wairaka-inspired art was _____________ because _____________."