Teaching mathematics
Teaching mathematics

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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.

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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 one divided by four and three divided by four.


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.

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