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**Scheme of work: Key Stage 3: Year 7: Term 4: Working with Fractions**

- Compare and order fractions whose denominators are all multiples of the same number
- Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
- Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number
- Add and subtract fractions with the same denominator and denominators that are multiples of the same number
- Use common factors to simplify fractions; use common multiples to express fractions in the same denomination
- Compare and order fractions, including fractions > 1

- Equivalent fractions are found by multiplying the numerator and denominator by the same number or term. Students often benefit having a visual representation back up the written method.
- To convert between mixed numbers and top heavy fractions students often benefit from drawing diagrams to back up their written methods.
- To simplify a fraction the numerator and denominator are divided by their highest common factor.
- When comparing fractions less able students benefit from using the fraction wall. More able students should use equivalent fractions as the written method.
- Similar to comparing fractions when performing addition and subtraction students can use a fraction wall to visualise the increased or decreased amount.
- The lowest common multiple is used to make the denominators equal when adding and subtracting fractions.

- 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
- Develop their mathematical knowledge, in part through solving problems and evaluating the outcomes, including multi-step problems

- Number
- Order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols =, < and >
- Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative

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