# Fractions, Decimals, Percentages

Scheme of work: Key Stage 3: Year 7: Term 5: Fractions, Decimals, Percentages

#### 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 â€˜number of parts per hundredâ€™, interpret percentages and percentage changes as a fraction or a decimal
• Interpret fractions and percentages as operators

## Fractions, Decimals, Percentages Resources

### Mr Mathematics Blog

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#### Parametric Equations

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