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Tessellation Pattern Exploration
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Tessellation Pattern Exploration
📐 Part 1: Understanding Tessellations
1. What is a tessellation?
Shapes that overlap each other
Shapes that fit together without gaps or overlaps
Shapes that are the same colour
Shapes that are all triangles
2. Which of these shapes can tessellate regularly? (Tick all that apply)
Equilateral triangles
Squares
Regular pentagons
Regular hexagons
3. In a tessellation, the angles around each vertex must add up to:
180°
270°
360°
450°
4. Which transformation is NOT used in creating tessellations?
Translation (sliding)
Rotation (turning)
Reflection (flipping)
Enlargement (scaling)
✏️ Part 2: Pattern Analysis
5. Explain why regular pentagons cannot tessellate on their own.
6. Name two real-world examples where you can see tessellations.
Example 1: _________________________
Example 2: _________________________
7. A square has interior angles of 90°. Show how squares tessellate by explaining what happens at each vertex.
8. Draw a simple tessellation pattern using equilateral triangles in the space below. Label one example each of translation, rotation, and reflection in your pattern.
🎨 Part 3: Extension Challenge
9. Advanced: Research and describe what a semi-regular tessellation is. Give one example.
10. Creative Challenge: Design your own tessellating shape by modifying a square. Draw your shape and show how it tessellates.
11. Cultural Connection: How are tessellations used in Māori tukutuku panels? Describe the patterns and their significance.
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