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Fraction of a polygon inquiry

Inquiry Maths

The fractions shaded decrease in a geometric sequence.

2 of 16

Inquiry prompt

Inquiry Maths

The fractions shaded decrease in a geometric sequence.

3 of 16

Inquiry Maths

Think – Pair – Share

4 of 16

Inquiry prompt

Inquiry Maths

The fractions shaded decrease in a geometric sequence.

5 of 16

Link to Regulatory cards

Inquiry Maths

6 of 16

Inquiry Maths

7 of 16

Inquiry Maths

The fractions shaded decrease in a geometric sequence.

Alternative prompt

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Geometrical reasoning

Inquiry Maths

9 of 16

Inquiry Maths

Congruent triangles that meet at the centre:

6

8

10

10 of 16

Inquiry Maths

Number of congruent triangles shaded:

4

4

4

11 of 16

Inquiry Maths

Name of polygon

Number of sides

Fraction shaded

Hexagon

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Octagon

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Decagon

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Dodecagon

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Tetradecagon

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Hexadecagon

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12 of 16

Inquiry Maths

Name of polygon

Number of sides

Fraction shaded

Hexagon

​

​

Octagon

​

​

Decagon

​

​

Dodecagon

​

​

Tetradecagon

​

​

Hexadecagon

​

​

​

​

​

13 of 16

Inquiry Maths

The sequence is not geometric because the ratio is not constant.

 

 

 

 

 

 

 

 

 

14 of 16

Odd number of sides

Inquiry Maths

Pentagon

Heptagon

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Odd number of sides

Inquiry Maths

Pentagon

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

16 of 16

Inquiry Maths