# Working with Negative Numbers

Scheme of work: GCSE Foundation: Year 9: Term 2: Working with Negative Numbers

#### Prerequisite Knowledge

• Count backwards through zero to include negative numbers
• interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero
• use negative numbers in context, and calculate intervals across zero

#### Success Criteria

• Order positive and negative integers
• apply the four operations, including formal written methods, to integers, both positive and negative

#### Key Concepts

• Temperature can be placed along a thermometer to order negative and positive numbers.
• Use a number line to demonstrate how negative number is less than its positive counterpart but of equal magnitude.
• Use a number line to demonstrate addition and subtraction involving negative and positive numbers.
• Adding a negative is equivalent to a subtraction. ( 4 + -2 = 4 â€“ 2)
• Understanding why subtracting a negative results in an addition is vital to multiplying and dividing with negative numbers.

#### Common Misconceptions

• Students often incorrectly consider negative numbers with a larger magnitude than positives to have a bigger value. For example, -3 < 2.
• Common incorrect answers to -4 + 6 are -2 (4 – 6) and -10 (-4 – 6)
• Trying to remember multiplication rules for when to leave the answer as a positive or negative often results in confusion when adding and subtracting. Use a number line to demonstrate -3 x 2 = -3 + -3 = 6.

## Working with Negative Numbers Resources

### Mr Mathematics Blog

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Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

#### GCSE Trigonometry Skills & SOH CAH TOA Techniques

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#### Regions in the Complex Plane

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.