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**Scheme of work: Key Stage 3: Year 7: Term 3: Working with Negative Numbers**

- Use negative numbers in context, and calculate intervals across zero
- Using the number line, pupils use, add and subtract positive and negative integers for measures such as temperature.
- Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero

- A negative sign represents a change in direction on a number line.
- Using number lines can help students with negative number calculations, especially addition and subtraction.
- A thermometer is helpful when comparing negative and positive numbers.
- Students should understand multiplication and division with negatives as an extension of addition and subtraction.

- Develop fluency
- Consolidate their numerical and mathematical capability from key stage 2 and extend their understanding of the number system.
- Substitute values in expressions, rearrange and simplify expressions, and solve equations

- Reason mathematically
- Extend their understanding of the number system; make connections between number relationships

- 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 = , <, >
- 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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