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Regular Polygons Exploration

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Regular Polygons Exploration worksheet preview

Regular Polygons Exploration

Regular polygons illustration

📐 Part 1: Identifying Regular Polygons

WALT: Identify and describe regular polygons by their properties

1. What makes a polygon "regular"? Circle the correct answer.

All sides are different lengths

All sides are equal and all angles are equal

It has more than 5 sides

2. Which of these shapes are regular polygons? Check all that apply.

Triangle with all equal sides (tapatoru)

Rectangle

Square (tapawhā rite)

Pentagon with all equal sides

3. Fill in the blanks using the word bank below:

A regular polygon has _______ sides and _______ angles.

Word bank: equal (ōrite), different, curved, straight

4. Match the te reo Māori names to the English names:
tapatoru
tapawhā rite
ōrite
square
triangle
equal

🔍 Part 2: Polygon Properties

5. Count the sides and angles for each polygon:

Triangle: _____ sides, _____ angles

Square: _____ sides, _____ angles

Pentagon: _____ sides, _____ angles

Hexagon: _____ sides, _____ angles

6. Draw your own regular triangle (tapatoru) in the box below. Make sure all sides are equal!
7. Explain why a rectangle is NOT a regular polygon:
8. Extension Challenge: If you built a regular octagon with straws, how many equal-length straws would you need?

🌟 Part 3: Reflection and Application

9. Describe one regular polygon you built with straws today. Use mathematical language.
10. Real-world Connection: Name one place where you might see regular polygons in everyday life:
11. Success Check: Can you do these things? Circle Yes or No.

Name three regular polygons: Yes / No

Explain what "equal sides and angles" means: Yes / No

Use te reo Māori words for shapes: Yes / No

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