Negative Numbers
This topic covers 5 learning steps, guiding your child from the basics through to confident problem-solving. Each step includes a worked example and adaptive practice questions.
What Your Child Will Learn
- What Are Negative Numbers?
Understand numbers below zero using a number line - Ordering Negative Numbers
Compare and order negative numbers - Add & Subtract with Negatives
Calculate across zero on a number line - Temperature & Context Problems
Negative numbers in real-world contexts - Challenge — Negative Number Operations
Complex calculations with negative numbers
Common Mistakes
- Thinking -3 is bigger than -1 because 3 > 1
On a number line, numbers get SMALLER as you go left. So -3 is further left than -1, meaning -3 < -1. Use a thermometer: -3°C is colder (less) than -1°C. - Struggling with subtracting a negative number (e.g. not understanding that 5 − (−3) = 8)
Subtracting a negative is the same as adding. Think of it as "taking away a debt" — if you remove a £3 debt, you are £3 better off. 5 − (−3) = 5 + 3 = 8.
Tips for Parents
- Use a thermometer: "It is 2°C now and the temperature drops by 5 degrees. What temperature is it now?" (−3°C)
- Draw a number line from -10 to 10 on paper. Practise jumping forwards (adding) and backwards (subtracting) across zero.
- Use a lift analogy: "You are on floor 2 and go down 5 floors. What floor are you on?" (Floor -3, i.e. 3 floors underground.)
- Play card games where red cards are negative and black are positive. Draw two cards and add them: "Black 5 and red 3 means 5 + (-3) = 2."
Key Words
- Negative number — A number less than zero — written with a minus sign, like -5.
- Positive number — A number greater than zero — like 5.
- Zero — Neither positive nor negative — the middle point on a number line.
- Integer — A whole number that can be positive, negative, or zero — like -3, 0, 7.
- Number line — A line showing numbers in order — negatives on the left, positives on the right.
Where This Fits
Before this topic: Children should understand the number line for positive numbers, count forwards and backwards, and know that zero is the starting point.
After this topic: Negative numbers lead to working with coordinates in all four quadrants, adding and subtracting integers, and understanding directed numbers in secondary algebra.
How MathCraft Teaches This
In MathCraft, Negative Numbers is taught through the Money, Data & Measure adventure track. Your child follows guided lessons with friendly characters, works through examples step by step, then practises with questions that adapt to their level.
The adaptive engine tracks mastery across all 5 steps, revisiting concepts your child finds tricky and advancing when they're ready. Parents can see detailed progress in the Parent Dashboard.
Practise Negative Numbers with MathCraft
Step-by-step lessons, worked examples, and adaptive practice — all wrapped in an adventure game your child will love.
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