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# Board Block for Two

## You may also like

### Let's Investigate Triangles

### Four Triangles Puzzle

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Links to the NRICH website Home page

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Age 5 to 7

Challenge Level

- Game

Here's a game to play with an adult!

**How do you play?**

You'll need an adult to play with.

You'll also need a circular pegboard, or the interactive pegboard below:

You can also print off some pegboards from this page.

Firstly, choose the number of pegs on your board. Six might be a good choice to start with (here is a sheet of pegboards each with six pegs). Take it in turns with the adult to add a band to the board. Bands must fit round three pegs, in other words, each must make a triangle.

A band can share a peg with other bands, but the triangles must not overlap (except along the edges and pegs).

A player loses when they cannot make a triangle on their turn.

What are the winning strategies?

Once you've mastered this game, why not play to lose? How is the game affected?

**Notes for adults**

This game is designed to help children learn the properties of a triangle. There is also an opportunity for thinking strategically by working out what will happen in advance.

**Easier version: **play the game on a print-out of the pegboard so that the child can keep a record of the moves they've made.

**Harder version:** try increasing the number of pegs on the board. Board Block Challenge for Two offers more ideas for children to explore.

Repeat the game, aiming to find a winning strategy, then talk together about how it was found.

There's a classroom version of this game here.

You'll need an adult to play with.

You'll also need a circular pegboard, or the interactive pegboard below:

You can also print off some pegboards from this page.

Firstly, choose the number of pegs on your board. Six might be a good choice to start with (here is a sheet of pegboards each with six pegs). Take it in turns with the adult to add a band to the board. Bands must fit round three pegs, in other words, each must make a triangle.

A band can share a peg with other bands, but the triangles must not overlap (except along the edges and pegs).

A player loses when they cannot make a triangle on their turn.

What are the winning strategies?

Once you've mastered this game, why not play to lose? How is the game affected?

This game is designed to help children learn the properties of a triangle. There is also an opportunity for thinking strategically by working out what will happen in advance.

Repeat the game, aiming to find a winning strategy, then talk together about how it was found.

There's a classroom version of this game here.

Vincent and Tara are making triangles with the class construction set. They have a pile of strips of different lengths. How many different triangles can they make?

Cut four triangles from a square as shown in the picture. How many different shapes can you make by fitting the four triangles back together?