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Mathematics·Algebra·representational

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

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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

6.EE.8US · ccss-math

Write Inequalities

Common Core State Standards for Mathematics · 6

7.EE.4bUS · ccss-math

Solve word problems leading to inequalities of the form px + q > r or px + q < r

Common Core State Standards for Mathematics · 7

KS3.Maths.Alg.7GB · uk-nc-2013

Solve Linear Equations

The national curriculum in England: Key stages 1 and 2 framework document · Key Stage 3