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# 1.1 Diagrammatic representations of equivalence

The first video shows a mathematical cake which is shaped like a rectangle and has been cut into ten slices. Learners can draw their own mathematical cake on paper. It can have a varied length but it is useful to ensure that the width is 10 cm, which means each slice is 1 cm wide. Diagrams can be very useful aids to teaching concepts in mathematics.

Download this video clip.Video player: Video 1 Mathematical cake: a diagrammatic representation of the equivalence of fractions, decimals and percentages
Video 1 Mathematical cake: a diagrammatic representation of the equivalence of fractions, decimals and percentages
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## Activity 1 Finding equivalences to one-quarter and three-quarters

Timing: Allow 5 minutes

Look at the mathematical cake diagram which was shown in the video. Use it to find equivalences to and .

### Discussion

The mathematical cake diagram can be used to demonstrate the equivalences of percentages, decimals and fractions in tenths.

One-quarter can be found by finding the mid-way point between 0 and one-half. Three quarters would be found mid-way between one-half and one-whole of the cake.

One-quarter is 25% and 0.25.

Three-quarters is 75% and 0.75.