# Working with Negative Numbers

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

#### Prerequisite Knowledge

• 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

#### Key Concepts

• 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.

#### Working Mathematically

• 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

#### Subject Content

• 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

## Working with Negative Numbers Resources

### Mr Mathematics Blog

#### Estimating Solutions by Rounding to a Significant Figure

Explore key concepts, FAQs, and applications of estimating solutions for Key Stage 3, GCSE and IGCSE mathematics.

#### Understanding Equivalent Fractions

Explore key concepts, FAQs, and applications of equivalent fractions in Key Stage 3 mathematics.

#### Transforming Graphs Using Function Notation

Guide for teaching how to transform graphs using function notation for A-Level mathematics.