1. Make as many ratios as you can that are equivalent to 2 : 3.
GM4.1 Core Starter
You are allowed to use the numbers shown on these cards once in each ratio.
Make as many ratios as you can that are equivalent to 1 : 2. For example: or
Make as many ratios as you can that are equivalent to 2 : 3.
Choose some simple ratios of your own – find equivalent ratios using only the numbers on the cards.
Preamble This activity is possibly best carried out by pupils working as individuals with wipe boards. This will enable any major problems with ratio to emerge quickly, for example writing the ratio the ‘wrong way round’. The whole group may then go on to discuss their strategies and try to use as many of the cards as possible to make a given ratio. Some pupils may need prompting to investigate 3-, 4- or 5-digit numbers.
Possible content Generating equivalent ratios.
Resources None, but some pupils might benefit from using actual number cards.
Solution/Notes Some of the ratios equivalent to 1 : 2 are:
2 : 4 3 : 6 4 : 8 5 : 10 6 : 12 7 : 14 8 : 16 9 : : : : : : : : : : : : : : : : : 14658
Some ratios equivalent to 2 : 3 are:
6 : 9 8 : 12 4 : 6 8 : : : : : : : : : : : : : : : 13572
Original Material © Cambridge University Press 2009
Original Material © Cambridge University Press 2009