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### Number and algebra

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### Working mathematically

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### Advanced mathematics

# Tug of War

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### Let's Investigate Triangles

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30 April (Primary), 1 May (Secondary)

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Age 5 to 7

Challenge Level

Here is a game for **two** players.

You will need a counter (or something similar), paper and two 1-6 dice.

You will need a counter (or something similar), paper and two 1-6 dice.

**How to play:**

Draw a number line on paper like this:

Place the counter on the number 14:

One player is called 'Plus' and the other is called 'Minus'. Decide who is who.

Plus moves the counter from left to right and Minus moves the counter from right to left.

Take it in turns to throw the two dice and add up the two numbers.

Move the counter that number of places in your direction.

If the counter reaches 1, Minus has won and so, of course if the counter reaches 27, Plus has won.

**You might think about** whether you have to land exactly at 1 or 27 or if you're allowed to end up beyond those points. What difference will it make if you are allowed to go beyond rather than landing exactly on the end numbers?

Once you have got used to the game, you might like to make some changes. You can decide. Perhaps you might have one counter each and see who gets to their end first; perhaps you might find the difference between the two numbers on the dice; perhaps you might use three dice; perhaps you might use one dice and a shorter line...

When you've changed the rules you can talk about whether or not your change makes the game better to play.

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?