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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 different sizes
2. Which of these shapes can tessellate regularly? (Select all that apply)
Equilateral triangles
Squares
Regular pentagons
Regular hexagons
3. At each vertex in a tessellation, the angles must add up to ____________°.
4. Which transformation(s) are commonly used in tessellations? (Select all that apply)
Translation (sliding)
Rotation (turning)
Reflection (flipping)
Enlargement
🎨 Part 2: Pattern Analysis
5. Look at the tessellation patterns around you (floor tiles, honeycomb, etc.). Describe one real-world example of tessellation you can observe:
6. Explain why regular pentagons cannot tessellate on their own:
7. In the space below, sketch a simple tessellation using squares. Show at least 6 squares fitting together:
8. Extension Challenge: Can you create a tessellation using two different shapes? Sketch your idea below and label the shapes used:
🧠 Part 3: Mathematical Reasoning
9. Calculate: If the interior angle of a regular hexagon is 120°, how many hexagons meet at each vertex in a hexagonal tessellation? Show your working:
10. Reflection: What is one new thing you learned about tessellations today?
11. Challenge Question: Research and name one famous artist known for creating tessellation artwork:
Artist's name: _________________________
12. Design your own tessellating shape by modifying a square. Draw your shape and show how it tessellates:
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