# equivalent fractions

31 Dec 2014

Having read a superb post about the Singapore Bar Model from William Emeny I thought I would share these diagrams for introducing equivalent fractions:

Students identify that $\frac{5}{12}$ of the diagram is shaded blue.

With each square now shown in two pieces, they can then see that $\frac{10}{24}$ is shaded and that this is equivalent to $\frac{5}{12}$.

Once they are happy with the second step then there isn’t much of a leap to showing that $\frac{20}{48} = \frac{10}{24} = \frac{5}{12}$.

Whilst these diagrams are given in a slightly different format to the bar model, the idea is similar.

## presentation

Here is a small presentation that may be useful.