Free Grade 3 Collinearity Lesson Plans
Free Grade 3 lesson plans for Collinearity: 12 real questions with a full answer key and worked solutions. An equation is a balance. Do the same thing to both sides until the letter is on its own, then check by substituting back.
Free
Stretch
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain collinearity
Explain collinearity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate collinearity
Calculate collinearity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare collinearity
Compare collinearity accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify collinearity
Justify collinearity 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 Collinearity works
An equation is a balance. Do the same thing to both sides until the letter is on its own, then check by substituting back.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Solve x + 19 = 28.[1]
- 2.Solve x + 7 = 15.[1]
- 3.Solve x + 16 = 23.[1]
- 4.Solve x + 5 = 12.[1]
- 5.Solve 8x + 14 = 14.[2]
- 6.Solve 3x + 13 = 37.[2]
- 7.Solve 9x + 13 = 121.[2]
- 8.Solve 6x + 6 = -24.[2]
- 9.Solve 9x + 17 = 4x + 17.[3]
- 10.Solve 9x + 7 = 2x + 28.[3]
- 11.Solve 7x + 16 = 6x + 26.[3]
- 12.Solve 7x + 20 = 2x + -5.[3]
Show answers and working
1. x = 9
Subtract 19 from both sides: x = 9. Check: 1 × 9 + 19 = 28.
2. x = 8
Subtract 7 from both sides: x = 8. Check: 1 × 8 + 7 = 15.
3. x = 7
Subtract 16 from both sides: x = 7. Check: 1 × 7 + 16 = 23.
4. x = 7
Subtract 5 from both sides: x = 7. Check: 1 × 7 + 5 = 12.
5. x = 0
Subtract 14 from both sides: 8x = 0. Divide by 8: x = 0. Check: 8 × 0 + 14 = 14.
6. x = 8
Subtract 13 from both sides: 3x = 24. Divide by 3: x = 8. Check: 3 × 8 + 13 = 37.
7. x = 12
Subtract 13 from both sides: 9x = 108. Divide by 9: x = 12. Check: 9 × 12 + 13 = 121.
8. x = -5
Subtract 6 from both sides: 6x = -30. Divide by 6: x = -5. Check: 6 × -5 + 6 = -24.
9. x = 0
Subtract 4x from both sides: 5x + 17 = 17. Subtract 17: 5x = 0. Divide by 5: x = 0.
10. x = 3
Subtract 2x from both sides: 7x + 7 = 28. Subtract 7: 7x = 21. Divide by 7: x = 3.
11. x = 10
Subtract 6x from both sides: 1x + 16 = 26. Subtract 16: 1x = 10. Divide by 1: x = 10.
12. x = -5
Subtract 2x from both sides: 5x + 20 = -5. Subtract 20: 5x = -25. Divide by 5: x = -5.
Worked examples
Solve x + 9 = 18.
- Subtract 9 from both sides: x = 9.
- Check: 1 × 9 + 9 = 18.
- Answer: x = 9
Solve 5x + 18 = 38.
- Subtract 18 from both sides: 5x = 20.
- Divide by 5: x = 4.
- Check: 5 × 4 + 18 = 38.
- Answer: x = 4
Solve 4x + 18 = 2x + 42.
- Subtract 2x from both sides: 2x + 18 = 42.
- Subtract 18: 2x = 24.
- Divide by 2: x = 12.
- Answer: x = 12
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Does an operation to only one side.
Correction: Keep the balance — both sides, every time.
Uses the wrong inverse (subtracts to undo multiplying).
Correction: Undo × with ÷ and + with −.
Teacher tips
- · Always ask pupils to substitute their answer back in.
Parent tips
- · 'I think of a number' puzzles at dinner.
Real-life applications
- · Working out an unknown price or time from a total.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Collinearity
One concept, one ecosystem — all of it free.
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The entities below this one, each with the same complete free resource set.
Sibling concepts
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Next topics
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Learn — Meet the idea.
Practice — Build fluency.
Revise — Keep it in memory.
Assess — Prove mastery.
Apply — Use it in context.
Teach — Deliver it to a class.
Frequently asked
- Is this Grade 3 Collinearity 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 Position Vectors, Vector Basics. 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 Collinearity?
- Move on to Vector Proof, Vector Basics, which build directly on this idea.
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