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Students learn how to use place value and equivalent fractions to convert between fractions, decimals and percentage using calculator and non-calculator methods.

This unit takes place in Year 7 Term 5, and follows on from place value.

**Prerequisite Knowledge**

- Compare and order fractions, including fractions > 1
- Identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places
- associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8]

- To convert a fraction to a percentage students need to use equivalent fractions to give the fraction a denominator of 100.
- The place value can be used to convert a decimal to a fraction. The column in which the decimal terminates is the denominator.
- To write a decimal as a percentage it can be multiplied by 100 using the place value table.
- A percentage is a fraction with a denominator of 100.

Develop fluency

- Consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system and place value to include decimals and fractions.

Reason mathematically

- Extend their understanding of the number system; make connections between number relationships, and their algebraic and graphical representations

Solve problems

- Begin to model situations mathematically and express the results using a range of formal mathematical representations

Number

- Work interchangeably with terminating decimals and their corresponding fractions.
- Define percentage as ‘number of parts per hundred’, interpret percentages and percentage changes as a fraction or a decimal
- Interpret fractions and percentages as operators

January 1, 2021

Problem solving lesson on two-way tables and frequency trees.

December 20, 2020

Three typical exam questions to revise on plotting quadratic, cubic and reciprocal graphs.

December 2, 2020

Linking cumulative frequency graphs to ratio, percentages and financial mathematics.