You may also like

problem icon

Tangrams

Can you make five differently sized squares from the tangram pieces?

problem icon

Geoboards

This practical challenge invites you to investigate the different squares you can make on a square geoboard or pegboard.

problem icon

Polydron

This activity investigates how you might make squares and pentominoes from Polydron.

Seeing Squares for Two

Age 5 to 11 Challenge Level:
Here’s a game to play with a grown-up!

 

How do you play?
You'll need a grown-up to play with.
You'll also need a set of blank grids, or you could use the tablet-friendly Seeing Squares interactivity.

Choose a different colour for you and the grown-up, and take it in turns to draw a dot on the grid. The winner is the first to have four dots that can be joined by straight lines to form a square. Squares can be any size and can be tilted.

Can you work out a strategy? Justify why you think each move is a good one.
How do you know when you've made a square?
Notes for grown-ups
This game offers an excellent opportunity to practise visualising squares and angles on grids and also encourages children to look at strategies using systematic approaches.

Easier version: start by drawing examples of different squares on the grid, and discuss wrong or omitted solutions. Build up gradually from a 4x4 to 5x5 to 6x6 grid.
Harder version: try increasing the size of the grid.

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.