Have a go at these with your class - here are examples, for both KS1 and KS2, to start you off.

**Two regular shapes (KS1)**

Use pairs of regular shapes of the same size.

Ask your class to place one over the other to make the outline shape of the star.

Write the number of points on each star and ask:

*What do you notice about the number of points on stars made from regular shapes?*

*(There are an even number of points – reinforce odd and even)*

Write the number of corners on each shape next to the number of points on the star made from that shape.

*What do you notice about the two numbers?*

*(The number of points on the stars are double the number of points on the shape – reinforce doubling and x2)*

**Joining the vertices of regular shapes (KS2)**

Mark dots on paper for each vertex of a regular shape.

Start on a dot and draw a line to alternate dots, missing out one dot each time.

Use pentagons, hexagons, heptagons, octagons and nonagons.

Ask:

*What happens if two dots are missed and lines are drawn to every third dot?*

Which stars can be made from one continuous line?

What differences do you notice between even-pointed and odd-pointed stars?

How easy is it to make a star from a triangle? A square?

How many different stars can you make from a nonagon?

How many different stars can be made with 5, 7, 9 11, 13 points?

Can you predict how many different stars can be made with 15 points?

How many different stars can be made with 4, 6, 8, 10 points?

Which stars can be made from one continuous line?

What differences do you notice between even-pointed and odd-pointed stars?

How easy is it to make a star from a triangle? A square?

How many different stars can you make from a nonagon?

How many different stars can be made with 5, 7, 9 11, 13 points?

Can you predict how many different stars can be made with 15 points?

How many different stars can be made with 4, 6, 8, 10 points?

It may be rather too quick for your class, but sometimes it’s good for you to enjoy your maths too!

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