Free Grade 3 Counterexamples Lesson Plans
Free Grade 3 lesson plans for Counterexamples: 12 real questions with a full answer key and worked solutions. Counting on means saying the next numbers in order, adding the same amount each time. Counting in 2s, 5s and 10s is the first step towards times tables.
Free
Foundation
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify counterexamples
Identify counterexamples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain counterexamples
Explain counterexamples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate counterexamples
Calculate counterexamples accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare counterexamples
Compare counterexamples 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 Counterexamples works
Counting on means saying the next numbers in order, adding the same amount each time. Counting in 2s, 5s and 10s is the first step towards times tables.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Count on in 1s: 3, 4, 5, 6, __, __[1]
- 2.Count on in 1s: 1, 2, 3, 4, __, __[1]
- 3.Count on in 2s: 8, 10, 12, 14, __, __[1]
- 4.Count on in 2s: 0, 2, 4, 6, __, __[1]
- 5.Count on in 2s: 18, 20, 22, 24, __, __[2]
- 6.Count on in 5s: 115, 120, 125, 130, __, __[2]
- 7.Count on in 2s: 6, 8, 10, 12, __, __[2]
- 8.Count on in 5s: 135, 140, 145, 150, __, __[2]
- 9.Count on in 5s: 90, 95, 100, 105, __, __[3]
- 10.Count on in 10s: 320, 330, 340, 350, __, __[3]
- 11.Count on in 5s: 110, 115, 120, 125, __, __[3]
- 12.Count on in 10s: 190, 200, 210, 220, __, __[3]
Show answers and working
1. 7, 8
Each number is 1 more than the one before. 6 + 1 = 7 7 + 1 = 8
2. 5, 6
Each number is 1 more than the one before. 4 + 1 = 5 5 + 1 = 6
3. 16, 18
Each number is 2 more than the one before. 14 + 2 = 16 16 + 2 = 18
4. 8, 10
Each number is 2 more than the one before. 6 + 2 = 8 8 + 2 = 10
5. 26, 28
Each number is 2 more than the one before. 24 + 2 = 26 26 + 2 = 28
6. 135, 140
Each number is 5 more than the one before. 130 + 5 = 135 135 + 5 = 140
7. 14, 16
Each number is 2 more than the one before. 12 + 2 = 14 14 + 2 = 16
8. 155, 160
Each number is 5 more than the one before. 150 + 5 = 155 155 + 5 = 160
9. 110, 115
Each number is 5 more than the one before. 105 + 5 = 110 110 + 5 = 115
10. 360, 370
Each number is 10 more than the one before. 350 + 10 = 360 360 + 10 = 370
11. 130, 135
Each number is 5 more than the one before. 125 + 5 = 130 130 + 5 = 135
12. 230, 240
Each number is 10 more than the one before. 220 + 10 = 230 230 + 10 = 240
Worked examples
Count on in 2s: 4, 6, 8, 10, __, __
- Each number is 2 more than the one before.
- 10 + 2 = 12
- 12 + 2 = 14
- Answer: 12, 14
Count on in 2s: 24, 26, 28, 30, __, __
- Each number is 2 more than the one before.
- 30 + 2 = 32
- 32 + 2 = 34
- Answer: 32, 34
Count on in 10s: 390, 400, 410, 420, __, __
- Each number is 10 more than the one before.
- 420 + 10 = 430
- 430 + 10 = 440
- Answer: 430, 440
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Says the starting number as the first count when counting on.
Correction: Point to the start number, then say the NEXT number as 'one'.
Loses the pattern when crossing a ten (e.g. 28, 29, 20).
Correction: Use a 100 square so the child sees the row change.
Teacher tips
- · Use a 100 square and colour each skip-count pattern in a different colour.
Parent tips
- · Count stairs in 2s or cars in 5s on a walk.
Real-life applications
- · Counting coins in 5s and 10s, counting pairs of socks in 2s.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
Every free resource for Counterexamples
One concept, one ecosystem — all of it free.
Goes deeper
The entities below this one, each with the same complete free resource set.
Sibling concepts
Related concepts
Lateral links, including across subjects.
Next topics
All free formats for this concept
Every kind below is a real page, generated from this entity.
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 Counterexamples 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 Matrices. 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 Counterexamples?
- Move on to Algebraic Proof, Proof by Exhaustion, Problem Solving, which build directly on this idea.
Related resources
Stuck on Counterexamples? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor