Free Grade 3 Inequalities on a Number Line in Context Lesson Plans
Free Grade 3 lesson plans for Inequalities on a Number Line in Context: 12 real questions with a full answer key and worked solutions. An inequality gives a range of values. Solve it like an equation, but if you multiply or divide by a negative, flip the sign.
Free
Foundation
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify inequalities on a number line in context
Identify inequalities on a number line in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain inequalities on a number line in context
Explain inequalities on a number line in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate inequalities on a number line in context
Calculate inequalities on a number line in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare inequalities on a number line in context
Compare inequalities on a number line in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
Prerequisites
Close these gaps first — each has its own free lesson, worksheet and quiz.
How Inequalities on a Number Line in Context works
An inequality gives a range of values. Solve it like an equation, but if you multiply or divide by a negative, flip the sign.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Solve 6x + 13 < 43.[1]
- 2.Solve 4x + 5 < 21.[1]
- 3.Solve 3x + 8 > 17.[1]
- 4.Solve 6x + 6 ≤ 48.[1]
- 5.Solve 6x + 13 ≥ 19.[2]
- 6.Solve 5x + 4 ≥ 24.[2]
- 7.Solve 5x + 8 ≥ 23.[2]
- 8.Solve 2x + 2 > 18.[2]
- 9.Solve 4x + 11 ≤ 15 and list the positive integers that satisfy it (if finite).[3]
- 10.Solve 3x + 12 ≤ 15 and list the positive integers that satisfy it (if finite).[3]
- 11.Solve 5x + 13 ≥ 33 and list the positive integers that satisfy it (if finite).[3]
- 12.Solve 2x + 12 ≥ 30 and list the positive integers that satisfy it (if finite).[3]
Show answers and working
1. x < 5
Subtract 13: 6x < 30. Divide by 6 (positive, so the sign stays): x < 5.
2. x < 4
Subtract 5: 4x < 16. Divide by 4 (positive, so the sign stays): x < 4.
3. x > 3
Subtract 8: 3x > 9. Divide by 3 (positive, so the sign stays): x > 3.
4. x ≤ 7
Subtract 6: 6x ≤ 42. Divide by 6 (positive, so the sign stays): x ≤ 7.
5. x ≥ 1
Subtract 13: 6x ≥ 6. Divide by 6 (positive, so the sign stays): x ≥ 1.
6. x ≥ 4
Subtract 4: 5x ≥ 20. Divide by 5 (positive, so the sign stays): x ≥ 4.
7. x ≥ 3
Subtract 8: 5x ≥ 15. Divide by 5 (positive, so the sign stays): x ≥ 3.
8. x > 8
Subtract 2: 2x > 16. Divide by 2 (positive, so the sign stays): x > 8.
9. x ≤ 1
Subtract 11: 4x ≤ 4. Divide by 4 (positive, so the sign stays): x ≤ 1.
10. x ≤ 1
Subtract 12: 3x ≤ 3. Divide by 3 (positive, so the sign stays): x ≤ 1.
11. x ≥ 4
Subtract 13: 5x ≥ 20. Divide by 5 (positive, so the sign stays): x ≥ 4.
12. x ≥ 9
Subtract 12: 2x ≥ 18. Divide by 2 (positive, so the sign stays): x ≥ 9.
Worked examples
Solve 6x + 9 ≤ 15.
- Subtract 9: 6x ≤ 6.
- Divide by 6 (positive, so the sign stays): x ≤ 1.
- Answer: x ≤ 1
Solve 4x + 2 > 30.
- Subtract 2: 4x > 28.
- Divide by 4 (positive, so the sign stays): x > 7.
- Answer: x > 7
Solve 5x + 9 ≥ 29 and list the positive integers that satisfy it (if finite).
- Subtract 9: 5x ≥ 20.
- Divide by 5 (positive, so the sign stays): x ≥ 4.
- Answer: x ≥ 4
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Forgets to flip the sign when dividing by a negative.
Correction: Test a value to check the direction.
Mixes up < and ≤.
Correction: ≤ includes the boundary; show it with a filled circle.
Teacher tips
- · Show every answer on a number line.
Parent tips
- · Talk about 'at least' and 'no more than' on signs.
Real-life applications
- · Age limits, speed limits, minimum orders.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Inequalities on a Number Line in Context lesson plan really free?
- Yes. Every lesson plans on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Working with Inequalities on a Number Line, Introducing Inequalities on a Number Line, Solving Linear Inequalities. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Inequalities on a Number Line in Context?
- Move on to Inequality Notation, Solving Linear Inequalities, which build directly on this idea.
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