### Cubes

How many faces can you see when you arrange these three cubes in different ways?

### Pebbles

Place four pebbles on the sand in the form of a square. Keep adding as few pebbles as necessary to double the area. How many extra pebbles are added each time?

### Bracelets

Investigate the different shaped bracelets you could make from 18 different spherical beads. How do they compare if you use 24 beads?

# Matching Fractions, Decimals and Percentages

### Why play this game?

This game can be played to improve students' recognition of equivalent fractions, decimals and percentages.

### Possible approach

There are three sets of printable cards, which you may find useful. Set A is the easiest, and set C is the hardest. Each half (top/bottom) is a stand alone set so you can combine these to form the size and difficulty that you would like.
For example, you might want to combine the bottom half of set A with the top half of set B, or all of set B with the top half of set C.

If you print double sided, then the cards will have an NRICH logo on the back. Otherwise, you can just print the first page.

Set A, Set B, Set C

Show students the game and turn over a few cards so they understand the object of the game. Then invite them to play the game on computers, or with the printed cards.

Bring the class together and ask for any tips or strategies that help with the game.

You could invite students to create their own sets of cards that they can share and use to play different versions of the game.

### Key questions

When you see 0.3, what are you thinking / looking for?
Which cards are easier/more difficult to match?

### Possible extension

Students can play the Fractions and Percentages Card Game where the card matching requires calculations.

### Possible support

Allow students to keep a record of the value of the cards that they have turned.