Year 7 maths: make negative numbers clearer before summer assessments
By late May, Year 7 pupils may be preparing for summer assessments while still adjusting to secondary school maths. Negative numbers often expose a particular difficulty: a pupil can remember a rule but struggle to decide when it applies.
If your child hesitates over temperatures below zero or calculations involving subtraction, start with meaning rather than speed. A few short sessions before and during May half term can help, without turning the break into an extra school week. Check the assessment information from school first so practice matches what has actually been taught.
1. Check which part is causing difficulty
Begin with four questions, asking your child to explain each answer aloud:
- Which is greater: negative three or negative eight?
- What is negative four plus six?
- What is three subtract seven?
- What is five subtract negative two?
These questions test different ideas. Getting the first wrong suggests difficulty with order. Getting only the last wrong may mean subtraction of a negative number needs more explanation.
Avoid treating every mistake as a reason to restart the whole topic. Choose one difficulty and work on that first. If your child answers correctly but says, “I just guessed”, ask them to show the calculation another way. A secure answer should come with a reason, a diagram or a clear sequence of steps.
2. Connect calculations to a number line
Draw a number line from negative ten to positive ten, with equally spaced marks. Ask your child to place negative seven and negative two, then explain why negative two is greater. Its position further right is the important idea.
For negative four plus six, start at negative four and move six places right. For three subtract seven, start at three and move seven places left.
Use temperature to check the meaning: “It is three degrees and falls by seven degrees. What is the new temperature?”
For five subtract negative two, explain that subtracting a number means adding its opposite. The opposite of negative two is positive two, so the result is seven. Avoid the loose phrase “two negatives make a positive”, which can encourage mistakes in unrelated calculations. Use the school's preferred model alongside this explanation if it differs.
3. Practise one distinction before mixing questions
Spend ten minutes on a small set rather than completing a long worksheet. First compare calculations that look similar:
- Six plus negative three equals three.
- Six subtract negative three equals nine.
- Negative six plus three equals negative three.
Ask your child what changed between the questions. Encourage them to identify the operation and whether each number is positive or negative before calculating.
Then try four fresh questions without a worked example beside them. Check answers immediately and discuss one error carefully. Finish by asking your child to invent a calculation with an answer of negative two. This reveals whether they can use the idea flexibly.
4. Build a small assessment routine
Plan three short sessions across a week: one on ordering, one on calculation and one mixing both. Leave rest days between them. At the next session, begin with two questions from the previous skill to check what has stuck.
Parents can ask, “Where would your answer sit on the number line?” rather than supplying the rule. Praise a clear explanation or a corrected mistake, not just speed.
If confusion persists, ask the maths teacher which method to reinforce. For tailored one to one support, take the free 2 minute quiz to explore GoodGrade Tutors.