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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 with small gaps
Shapes that fit together perfectly without gaps or overlaps
Shapes arranged in a random pattern
Shapes that only use squares
2. Which of these shapes can tessellate regularly? (Check all that apply)
Equilateral triangles
Squares
Regular pentagons
Regular hexagons
3. In a tessellation, what must the angles around each vertex add up to?
180°
270°
360°
450°
4. Which geometric transformations are commonly used in tessellations?
Translation (sliding)
Rotation (turning)
Reflection (flipping)
Stretching
✏️ Part 2: Pattern Analysis
5. Explain why regular pentagons cannot tessellate on their own:
6. Look around your classroom or home. Name two real-world examples of tessellations:
Example 1: _________________________________
Example 2: _________________________________
7. A square has interior angles of 90°. Show how squares tessellate by calculating how many squares meet at each vertex:
8. Extension: Research and describe what a semi-regular tessellation is:
🎨 Part 3: Create Your Own
9. In the space below, sketch a tessellation pattern using triangles. Show at least 6 triangles and label any transformations used:
10. Challenge: Design a tessellation using two different regular shapes. Sketch your pattern below and explain your choice:
Explanation: ________________________________________________
_________________________________________________________
11. Reflect on your learning: What was the most interesting thing you discovered about tessellations today?
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