Numbers on a number line
Understand inequalities as statements comparing expressions, represent solutions on a number line, and solve simple linear inequalities using the same inverse-operation methods as equations
Suggested ages 11–14
Evidence of understanding
- Write an inequality from a worded constraint (e.g., 'must be at least 12' → x ≥ 12)
- Represent the solution set of an inequality on a number line with open or closed circles
- Solve a one-step or two-step inequality such as 3x + 1 < 10
Assessment prompt
Can Numbers on a number line solve an inequality like 2x + 1 < 9, show the answer on a number line, and explain what all the solutions have in common?
Standards alignment
Write Inequalities
Common Core State Standards for Mathematics · 6
Solve word problems leading to inequalities of the form px + q > r or px + q < r
Common Core State Standards for Mathematics · 7
Solve Linear Equations
The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3