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For younger learners

  • Early Years Foundation Stage

Four Go for Two

Age 7 to 11
Challenge Level Yellow star
  • 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 number line from 1-20, like the one above. You can print some off here.

The adult chooses two numbers in this grid and either multiplies or divides them.



They then mark the answer to the calculation on the number line. You then choose two numbers and either ×  or ÷ , and mark that number in a different colour on the number line.

If the answer is too big or too small to be marked on the number line, the player misses a go. The winner is the person to get four marks in a row with none of their opponent's marks in between.

What good ways do you have of winning the game?
Does it matter if you go first or second?
How are you deciding which number to aim for next?
Can you find a winning strategy?
Notes for adults
This game gives children the opportunity to estimate answers to calculations in a motivating context and gives plenty of practice in multiplication and division. Playing strategically involves higher-order thinking and the need to think ahead.

Easier version: you could use a calculator, and/or adapt the grid and numberline.
Harder version: children can be encouraged to tweak the game and to try out their new version.  For example, they might change the number line, the grid of numbers, the operations, the number of numbers needed to win...

There is a classroom version of this game here.

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Dice and Spinner Numbers

If you had any number of ordinary dice, what are the possible ways of making their totals 6? What would the product of the dice be each time?

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The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.

NRICH is part of the family of activities in the Millennium Mathematics Project.

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