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Tessellations and Fractions
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Tessellations and Fractions
🔍 Part 1: Understanding Tessellations
1. What is a tessellation? Circle the best answer:
Shapes that overlap each other
Shapes that fit together without gaps or overlaps
Shapes that are all the same colour
Shapes that are very large
2. Which of these shapes can tessellate? Check all that apply:
Squares
Equilateral triangles
Regular pentagons
Regular hexagons
3. Fill in the blanks:
A tessellation is a pattern of __________ that covers a surface with no __________ or __________.
🎨 Part 2: Design Your Own Tessellation
4. Draw your own tessellation pattern using squares, triangles, or hexagons. Make sure there are no gaps or overlaps!
5. Describe your tessellation design:
🔢 Part 3: Fractions in Tessellations
6. Look at your tessellation from Question 4. Count the total number of shapes you used: ______ shapes
7. If you coloured half of your shapes red, how many shapes would be red? Show your working:
8. If you coloured one quarter of your shapes blue, how many shapes would be blue? Show your working:
9. Match the fraction to its meaning in tessellations:
1. 1/2
2. 1/4
3. 1/8
A. One eighth of the shapes
B. Half of the shapes
C. One quarter of the shapes
🧩 Part 4: Problem Solving
10. Sarah created a tessellation using 24 hexagons. She coloured 1/3 of them yellow and 1/4 of them green. The rest were left white. How many hexagons were:
a) Yellow: _______ hexagons
b) Green: _______ hexagons
c) White: _______ hexagons
11. Why do you think regular pentagons cannot tessellate? Explain your thinking:
🌟 Part 5: Creative Challenge
12. Design a tessellation pattern that uses exactly 16 shapes. Colour 1/2 of them one colour and 1/4 of them another colour. Draw your design below:
13. Describe what you learned about tessellations and fractions today:
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