Students are introduced to the equivalence between top heavy fractions and mixed numbers through the use of diagrams. As learning progresses they learn how to use written methods to convert between the two.

The start of the lesson recaps calculating fractions of an amount. In the main part diagrams are used to demonstrate the equivalence between mixed numbers and top heavy fractions. The plenary challenges students to sort a series of fractions and mixed numbers into numerical order.

**Differentiated Learning Objectives**

- All students should be able to use diagrams to convert a mixed number to a top heavy fraction.
- Most students should be able to use written methods to convert between mixed numbers and top heavy fractions.
- Some students should be able to convert between decimals, percentages, mixed numbers and top heavy fractions.