Free Grade 3 Introducing Negative Numbers Techniques Lessons
Free Grade 3 lessons for Introducing Negative Numbers Techniques: 12 real questions with a full answer key and worked solutions. Integers include negative numbers. On a number line, adding moves right and subtracting moves left. Subtracting a negative is the same as adding.
Free
Core
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing negative numbers techniques
Explain introducing negative numbers techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing negative numbers techniques
Calculate introducing negative numbers techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing negative numbers techniques
Compare introducing negative numbers techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing negative numbers techniques
Justify introducing negative numbers techniques 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 Introducing Negative Numbers Techniques works
Integers include negative numbers. On a number line, adding moves right and subtracting moves left. Subtracting a negative is the same as adding.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.-3 + (-6) = ?[1]
- 2.-5 + (-4) = ?[1]
- 3.5 + 8 = ?[1]
- 4.2 + (-1) = ?[1]
- 5.-1 + (-1) = ?[2]
- 6.-12 × 13 = ?[2]
- 7.19 − (-6) = ?[2]
- 8.7 + 19 = ?[2]
- 9.20 × 20 = ?[3]
- 10.24 + (-23) = ?[3]
- 11.-19 + 18 = ?[3]
- 12.-22 − 19 = ?[3]
Show answers and working
1. -9
Start at -3 on a number line. Move 6 left. You land on -9.
2. -9
Start at -5 on a number line. Move 4 left. You land on -9.
3. 13
Start at 5 on a number line. Move 8 right. You land on 13.
4. 1
Start at 2 on a number line. Move 1 left. You land on 1.
5. -2
Start at -1 on a number line. Move 1 left. You land on -2.
6. -156
Multiply the sizes: 12 × 13 = 156. Same signs give positive, different signs give negative. Answer: -156
7. 25
Subtracting (-6) is the same as adding 6. 19 + 6 = 25
8. 26
Start at 7 on a number line. Move 19 right. You land on 26.
9. 400
Multiply the sizes: 20 × 20 = 400. Same signs give positive, different signs give negative. Answer: 400
10. 1
Start at 24 on a number line. Move 23 left. You land on 1.
11. -1
Start at -19 on a number line. Move 18 right. You land on -1.
12. -41
Subtracting 19 is the same as adding -19. -22 + (-19) = -41
Worked examples
-5 + 1 = ?
- Start at -5 on a number line.
- Move 1 right.
- You land on -4.
- Answer: -4
-20 + (-8) = ?
- Start at -20 on a number line.
- Move 8 left.
- You land on -28.
- Answer: -28
20 + (-2) = ?
- Start at 20 on a number line.
- Move 2 left.
- You land on 18.
- Answer: 18
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Thinks −8 is bigger than −3.
Correction: Further left on the number line means smaller.
Treats − (−4) as −4.
Correction: Two minus signs together become a plus.
Teacher tips
- · Use a vertical number line like a thermometer.
Parent tips
- · Compare winter temperatures from the weather forecast.
Real-life applications
- · Temperatures below zero, bank balances, floors below ground.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Introducing Negative Numbers Techniques 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 Introducing Negative Numbers Essentials, Number Formation. 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 Introducing Negative Numbers Techniques?
- Move on to Introducing Negative Numbers Word Problems, Introducing Negative Numbers Common Errors, Working with Negative Numbers, Negative Numbers in Context, which build directly on this idea.
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