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Tessellations and Angles
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Tessellations and Angles
🔍 Part 1: Understanding Tessellations
1. What is a tessellation?
Shapes that overlap each other
Repeating patterns with no gaps or overlaps
Random shapes scattered on a page
Shapes that only touch at corners
2. Which shapes can create tessellations on their own? (Check all that apply)
Triangles
Squares
Regular pentagons
Hexagons
3. Where might you find tessellations in the real world?
Honeycomb structures
Bathroom tiles
Both of the above
Neither of the above
4. Draw a simple tessellation using squares in the box below:
📐 Part 2: Angles in Tessellations
5. What type of angle measures exactly 90 degrees?
Acute angle
Right angle
Obtuse angle
Straight angle
6. In a square tessellation, what is the measure of each interior angle?
Answer: _______ degrees
7. Look at the tessellation pattern you created in question 4. Identify and measure three different angles using a protractor. Record your measurements below:
Angle 1: _______ degrees Type: _____________
Angle 2: _______ degrees Type: _____________
Angle 3: _______ degrees Type: _____________
8. Why do you think certain shapes tessellate while others don't? Explain your thinking:
🎨 Part 3: Creative Challenge
9. Design your own tessellation using triangles in the space below. Use colours to make your pattern stand out:
10. Reflection: How do the angles in your tessellation help the shapes fit together perfectly? What did you discover about patterns and angles?
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