Free Grade 3 Proof by Exhaustion Lessons
Free Grade 3 lessons for Proof by Exhaustion. A taught sequence with modelling and checks for understanding. Proof by Exhaustion is a unit of teaching within Proof, usually two to four weeks of lessons with one assessment point.
Free
Foundation
30 min
20
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify proof by exhaustion
Identify proof by exhaustion accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain proof by exhaustion
Explain proof by exhaustion accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate proof by exhaustion
Calculate proof by exhaustion accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare proof by exhaustion
Compare proof by exhaustion 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 Proof by Exhaustion works
Proof by Exhaustion is a unit of teaching within Proof, usually two to four weeks of lessons with one assessment point.
Worked examples
Apply Proof by Exhaustion in a routine context.
- Read the problem and name what Proof by Exhaustion is being used for.
- Set out the method exactly as modelled in the lesson.
- Complete the calculation or reasoning step by step.
- Check the answer against an estimate or the original condition.
Apply Proof by Exhaustion in a multi-step context.
- Read the problem and name what Proof by Exhaustion is being used for.
- Set out the method exactly as modelled in the lesson.
- Complete the calculation or reasoning step by step.
- Check the answer against an estimate or the original condition.
Apply Proof by Exhaustion in a unfamiliar context.
- Read the problem and name what Proof by Exhaustion is being used for.
- Set out the method exactly as modelled in the lesson.
- Complete the calculation or reasoning step by step.
- Check the answer against an estimate or the original condition.
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Students treat proof by exhaustion as a rule to memorise rather than a relationship to understand.
Correction: Anchor the rule in a visual model first, then abstract it — the model is the explanation.
Learners apply the correct method to proof by exhaustion but ignore the context or units.
Correction: Require an answer sentence with units on every applied question.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Proof by Exhaustion
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Goes deeper
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 Proof by Exhaustion lesson really free?
- Yes. Every lessons 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 Algebraic Proof, Counterexamples, Matrices. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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 Proof by Exhaustion?
- Move on to Problem Solving, which build directly on this idea.
Related resources
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