Prior Content: Solving Simple Equations, Linear Graphs & Gradients
Possible Next Steps: Quadratic Inequalities
Contents
- 1.1 Representing & Interpreting Inequalities on a Number Line
- 1.2 Representing & Interpreting Multiple Inequalities on a Number Line
- 2.1 Solving Inequalities
- 3.1 Shading Graphical Inequalities
- 3.2 Interpreting Shaded Regions as Inequalities
- Whole Topic Summary Resources (Including Past Paper Questions)
1.1 Representing & Interpreting Inequalities on a Number Line
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Inequalities
Corbett Maths Inequalities on a Number Line
Online Platforms (with Videos & Exercises)
- Khan Academy
- Inequalities on a number line: Videos & practice
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Transum
- Goal Free Problems
- Go Teach Maths
- Desmos
- Inequalities on the Number Line (link inequalities, words and number-line diagrams)
- Ticktock Maths
- Inequalities on number lines lesson (slides)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Inequalities Practice Questions (Q1-3) & Solutions
- Inequalities Worksheet (Q1-5) & Solutions
- Maths 4 Everyone
- Kuta Software
- Access Maths
- MME
Dr Frost Resources
Dr Frost Video
K342: Interpret an Inequality Represented on a Number Line.
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 309a: Represent a one-ended inequality on a number line.
- 309b: Interpret a one-ended inequality represented on a number line.
- 309e: List the integer values represented by an inequality on a number line.
- 309f: List the integer values represented by an algebraic statement of inequality.
- 309: Exam Practice: Understanding algebraic statements of inequality
Extension Materials
1.2 Representing & Interpreting Multiple Inequalities on a Number Line
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Inequalities on a Number Line (From 1:46)
Online Platforms (with Videos & Exercises)
- Khan Academy
- Compound inequalities: Videos & practice
Activities & Resources
- Maths 4 Everyone
- Pixi Maths
- Math = Love (Sarah Carter)
- Goal Free Problems
- Jo Morgan
- Ticktock Maths
- Compound Inequalities lesson (slides)
Worksheets
- Dr Austin Maths
- Corbettmaths
- Maths 4 Everyone
Dr Frost Resources
Dr Frost Video
K342: Interpret an Inequality Represented on a Number Line.
Dr Frost Slides & Activities
- Dr Frost Slides (4)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 309c: Represent a two-ended inequality on a number line.
- 309d: Interpret a two-ended inequality represented on a number line.
- 341g: Combine two inequalities where one implies the other.
- 341h: Combine two inequalities with an overlapping range.
- 341i: Combine two more complex inequalities involving an ‘or’/disjunction.
- 309: Exam Practice: Understanding algebraic statements of inequality
- 341: Exam Practice: Solving two-ended linear inequalities and combining inequalities
Extension Materials
2.1 Solving Inequalities
Teaching Videos, Exercises & Activities
Tutorial Videos
Corbett Maths Solving Inequalities
Corbett Maths Solving Inequalities with Two Signs
Online Platforms (with Videos & Exercises)
- Khan Academy
- Multi-step linear inequalities: Videos & practice
- Two-step inequalities: Videos & practice
Activities & Resources
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Go Teach Maths
- thewessens.net Classroom Apps
- Equation Solver (choose New Inequation to solve linear inequalities step by step)
- Ticktock Maths
- Solving Linear Inequalities lesson (slides)
Worksheets
- Dr Austin Maths
- Practice Strips (Word | PDF | Answers)
- Practice Grid (Word | PDF✦ | Answers✦)
- Match-Up (Word | PDF✦ | Answers✦)
- Compound Practice Grid (Word | PDF✦ | Answers✦)
- Compound Name the Film (Word | PDF✦ | Answers✦)
- True or False (Word | PDF✦ | Answers✦)
- More Practice Strips (Word | PDF | Answers)
- Forming (Word | PDF | Answers)
- Equations Revision Practice Grid (Word | PDF | Answers)
- Corbettmaths
- Inequalities Practice Questions & Solutions
- Solving Inequalities Worksheet & Solutions
- Inequalities AQA Level 2 Practice Questions (Q1-7) & Solutions
- Maths 4 Everyone
- Solving Inequalities Topic Review (Last Row is Quadratic)
- Pixi Maths
- CIMT MEP (online self-checking)
- Mathshelper (Jon Stone)
- Maths Genie
- Inequalities: Booklet · Worksheet · Solutions · Lesson · Topic page
- Kuta Software
- Naiker Maths
- Inequalities: Worksheet
- Access Maths
- MME
- MadAsMaths (T. Madas)
- Inequalities Basic Practice Linear Inequalities Q1–3
- martahidegkuti
- Mr Morley Maths
- Linear Inequalities: Notes jotter/worksheet · How-to sheet · Exam questions · Mark scheme
- Pret Homework (Jo Morgan)
- Inequalities✦ (Jo Morgan, docx)
Dr Frost Resources
Dr Frost Video
K343: Solve a Linear Inequality.
K345: Solve a Linear Inequality With the Unknown on Both Sides.
K346: Solve a Two-Ended Inequality With a Single Step.
K347: Solve a Two-Ended Inequality With Two Steps.
Dr Frost Slides & Activities
- Dr Frost Slides (4)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 339a: Solve a linear inequality in one variable with one step.
- 339b: Solve a linear inequality in one variable with two steps.
- 339c: Solve a linear inequality in one variable involving simple fractions.
- 339d: Solve a linear inequality in one variable involving brackets.
- 339e: Solve a linear inequality in one variable involving brackets and fractions.
- 339f: Solve a linear inequality in one variable where the coefficient of x is negative.
- 339g: Determine the greatest or least integer which satisfies a linear inequality in one variable.
- 339h: Solve and represent the solution of a one-ended linear inequality in one variable on a number line.
- 339i: Solve and represent the solution of a linear inequality in one variable, with solutions in a given infinite number set.
- 340a: Solve a linear inequality with the unknown on both sides.
- 340b: Solve a linear inequality with brackets and the unknown on both sides.
- 340c: Solve a linear inequality involving a single fraction and the unknown on both sides.
- 340d: Solve a linear inequality involving multiple fractions and the unknown on both sides.
- 341a: Solve a two-ended linear inequality in one variable with a single step.
- 341b: Solve a two-ended linear inequality in one variable with two steps.
- 341c: Solve a two-ended linear inequality in one variable involving fractions.
- 341d: Solve a two-ended linear inequality in one variable and list the integer values which satisfy it.
- 341e: Solve a two-ended linear inequality in one variable which has a negative coefficient.
- 341j: Solve a pair of linear inequalities in one variable and state the integer values that satisfy both.
- 341k: Solve a more complex two-ended linear inequality where the variable appears in the outer expressions.
- 342a: Form and solve a one-ended linear inequality in one variable.
- 342b: Consider possible solutions to a one-ended linear inequality from two variables, given information about one or both variables.
- 342c: Form and solve a two-ended linear inequality in one variable.
- 343a: Determine the set of values satisfying a linear inequality of a variable, given a restricted domain.
- 343b: Determine the set of values satisfying a linear inequality of a function of a variable, given a restricted domain.
- 343c: Determine the set of values satisfying a linear inequality involving two unknowns and two restricted domains.
- 343d: Determine the set of values satisfying a linear inequality involving a function of two unknowns and two restricted domains.
- 339: Exam Practice: Solving linear inequalities in one variable
- 340: Exam Practice: Solving linear inequalities with one variable on both sides
- 341: Exam Practice: Solving two-ended linear inequalities and combining inequalities
- 342: Exam Practice: Forming and solving linear inequalities from a given context
- 343: Exam Practice: Inequalities for expressions given a restricted domain on the variables
Extension Materials
3.1 Shading Graphical Inequalities
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Corbett Maths Graphical Inequalities Part 1 (Shade the Wanted Region)
Corbett Maths Graphical Inequalities Part 2 (Shade the Wanted Region)
Corbett Maths Inequalities & Regions on Graphs. (Shade Unwanted Region – Ignore Last 5 Seconds Where More Shading Takes Place Just to Confuse)
Online Platforms (with Videos & Exercises)
Activities & Resources
- Desmos Lesson
- By Desmos – Point Collector: Lines
- Paddy Moore Adapted from C Parkinson Graphical Inequalities ppt
- Pixi Maths
- Andy Lutwyche
- Math = Love (Sarah Carter)
- Don Steward
- Transum
- Interactive Maths
- Regions in Graphs: Video
- Go Teach Maths
- Mathematics Assessment Project
Worksheets
- Dr Austin Maths
- Corbettmaths
- Maths 4 Everyone
- Pixi Maths
- Mathshelper (Jon Stone)
- Maths Genie
- Inequalities on Graphs: Booklet · Solutions · Lesson · Topic page
- Kuta Software
- Naiker Maths
- Inequalities on Graphs (Regions): Worksheet
- Access Maths
- MME
- 1st Class Maths
- Mr Morley Maths
- Graphical Inequalities: Notes jotter/worksheet · Exam questions · Mark scheme
- Pret Homework (@slackmath)
- Linear Programming (@slackmath, pdf)
Dr Frost resources
Dr Frost Video
Dr Frost Slides & Activities
- All in one summary sheet
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 456a: Identify a region in 2D indicated by an inequality in the form x < a and y < a
- 456b: Identify a region in 2D indicated by a linear inequality in two variables.
- 456c: Identify regions in 2D indicated by two inequalities in the form x < a and y < a
- 456d: Identify regions in 2D indicated by two linear inequalities where at least one is in two variables.
- 456e: Identify regions in 2D indicated by three or more linear inequalities where at least one is in two variables.
- 456f: Determine a fixed number of integer solutions which satisfy a given set of linear inequalities in two variables.
- 456h: Consider the validity of related linear inequalities in two variables, given others known to be true.
- 456i: Identify regions in 2D indicated by a mixture of linear and quadratic inequalities.
- 456: Exam Practice: Linear inequalities on a 2D plane
Further Practice
- Practise Questions
EXTENSION MATERIALS
Online Platforms
- Khan Academy
- Graphing two-variable inequalities: Videos & practice
3.2 Interpreting Shaded Regions as Inequalities
TEACHING VIDEOS, EXERCISES & ACTIVITIES
Tutorial Videos
Inequality Regions – GCSE Higher Maths by 1st Class Maths
Graphical Inequalities & Shaded Regions | GCSE Maths Tutor by The GCSE Maths Tutor
Inequalities on Graphs by Maths Genie
Dr Hannah Patel How to Find the Inequalities Defining a Shaded Region
Online Platforms (with Videos & Exercises)
Activities
- Pixi Maths
- Shading Inequalities ppt (Slides 6-11 Game)
- Andy Lutwyche
- Miss Konstantine (MathsHKO)
- Math = Love (Sarah Carter)
- BossMaths
Worksheets
Dr Frost resources
Dr Frost Video
Dr Frost Slides & Activities
- Slides & Worksheet
Topic Test
- Standard Test
Extra Questions
- Dr Frost Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 456g: Determine the linear inequalities represented by a region on a graph.
- 456j: Determine the linear and quadratic inequalities represented by a region on a graph.
- 456: Exam Practice: Linear inequalities on a 2D plane
Further Practice
- Practise Questions
EXTENSION MATERIALS
Whole Topic Summary Resources (Including Past Paper Questions)
Download Linear Inequalities PPQs as WW Powerpoint for Edexcel IGCSE, AQA GCSE, Edexcel GCSE or OCR GCSE (or all GCSE together)
Other Whole Topic Resources
Acute Learning Problem Pairs
- Inequalities as PowerPoint or PDF
Worksheets
- Maths 4 Everyone
- MathedUp
- Linear Inequalities: Worksheet · Practice · Quiz · Question Gallery
- Graphing Inequalities (Regions): Worksheet · Practice · Quiz · Question Gallery
- Inequalities: Worksheet · Practice · Quiz · Question Gallery
- Mathsaurus (Kevin Olding)
- Physics & Maths Tutor
- MathsPad
- AS Resource Pack
- Inequalities practice/revision✦ (original by AS Resource Pack; copy hosted on Jo Morgan’s Drive)
Activities
- Math = Love (Sarah Carter)
- Go Teach Maths
External
✦ Links marked ✦ are also featured and recommended by Jo Morgan on Resourceaholic.