Inequalities – Year 11 maths lesson

Lesson 9 of 17 in the Year 11 maths course

UK version. UK school years, UK spelling and pounds (£). · US Math Department

A complete 45-minute lesson for Year 11 (ages 15–16) that runs on this page – at school or at home. Every answer is marked straight away, with a worked explanation.

Time: 45 minutes + 20 min homework
Year: Year 11 (ages 15–16)
You need: Paper, a pencil and this page
Marked: Instantly, with explanations

For parents: how to use this lesson

You don't need to know this topic yourself. The lesson explains each step on screen, one tidy step at a time. Every answer is marked straight away with a worked explanation, so you never have to mark anything.

Read what your child will learn and the big ideas together.
Press Start the lesson below and sit with your child for the teaching and the worked examples (about 19 minutes).
Let them do the practice on their own. They choose Getting started, On track or Challenge – start on On track and move up after a few right in a row.
Finish with the exit ticket and the talk question: “Why does the sign turn round when you divide by a negative?”
Later that day or the next day: the homework (20 minutes), then a practice test.

Watch out for

Forgetting to turn the sign when dividing by a negative. Test a number: −2x > 6 means x < −3.
Using a filled circle for <. Filled means equal is allowed: ≤ or ≥.

Tip for home: Talk about age or height limits as inequalities.

What your child will learn

We are learning to solve inequalities and show them on a number line.

Success looks like

I can show inequalities on a number line.
I can solve inequalities.
I can list integers that satisfy an inequality.

Key words

inequality: a statement using <, >, ≤ or ≥
integer: a whole number
solution set: all the values that work
number line: a line showing the solutions

What to have ready

Paper and a pencil
This page on a computer, tablet or phone
For the hands-on part: Show inequalities with string on a number line laid on the floor.

The big ideas (for the adult)

An inequality says one side is bigger or smaller: x > 3 means any number greater than 3.

On a number line, an open circle means not included (< or >); a filled circle means included (≤ or ≥).

Solve like an equation, but if you multiply or divide by a negative number, turn the inequality sign round.

The lesson, step by step

45 minutes in 5 parts
Part	Time	How it is checked
Starter: quick recall	5 min	Marked by Classfern
Teaching input	10 min	Not assessed, self-checked
Worked examples and guided practice	9 min	Not assessed, marked by Classfern
Independent practice	15 min	Marked by Classfern
Plenary and exit ticket	6 min	Marked by Classfern, self-checked

Starter, "your turn", practice and exit ticket are marked by Classfern. Worked examples and teaching are not assessed. The hands-on task and the reflection are self-assessed. Explanations in talk are judged by the parent and not recorded.

The lesson

It runs here on the page. No sign-up and no names – progress is kept only in this browser.

Homework and practice at home

20 minutes: 10 practice questions, 3 multiple-choice questions and 2 to remember from earlier work, then a short reflection. New questions every time, all marked instantly.

More practice

All Year 11 maths lessons and tests · Maths Department

More Year 11 maths lessons

Curriculum

National Curriculum for England, Year 11: “solve linear inequalities in 1 {or 2} variable {s}, {and quadratic inequalities in 1 variable}; represent the solution set on a number line, {using set notation and on a graph}”

GCSE subject content A22: “solve linear inequalities in one or two variable(s), and quadratic inequalities in one variable; represent the solution set on a number line, using set notation and on a graph”

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Our lessons and questions are our own. They are not written or endorsed by any government department, testing agency or exam board.