You may also like

problem icon

Nim

Start with any number of counters in any number of piles. 2 players take it in turns to remove any number of counters from a single pile. The loser is the player who takes the last counter.

problem icon

FEMTO

A new card game for two players.

problem icon

FEMTO: Follow Up

Follow-up to the February Game Rules of FEMTO.

Square it for Two

Stage: 1, 2, 3 and 4 Challenge Level: Challenge Level:1
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 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.