# Fractions, Decimals, Percentages

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.

##### Fractions, Decimals, Percentages Lessons

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]
##### Key Concepts
• 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.
##### Working mathematically

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
##### Subject Content

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

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