Free Grade 3 Working with Integer Number Line Lessons
Free Grade 3 lessons for Working with Integer Number Line: 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
Stretch
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with integer number line
Explain working with integer number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with integer number line
Calculate working with integer number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with integer number line
Compare working with integer number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with integer number line
Justify working with integer number line 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 Working with Integer Number Line 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.
- 1.9 + 4 = ?[1]
- 2.6 − (-6) = ?[1]
- 3.8 + (-3) = ?[1]
- 4.-5 − 8 = ?[1]
- 5.-6 − (-9) = ?[2]
- 6.-15 − (-13) = ?[2]
- 7.3 − (-14) = ?[2]
- 8.-5 × (-2) = ?[2]
- 9.-11 + (-9) = ?[3]
- 10.-15 + 11 = ?[3]
- 11.-15 + 10 = ?[3]
- 12.-22 − (-13) = ?[3]
Show answers and working
1. 13
Start at 9 on a number line. Move 4 right. You land on 13.
2. 12
Subtracting (-6) is the same as adding 6. 6 + 6 = 12
3. 5
Start at 8 on a number line. Move 3 left. You land on 5.
4. -13
Subtracting 8 is the same as adding -8. -5 + (-8) = -13
5. 3
Subtracting (-9) is the same as adding 9. -6 + 9 = 3
6. -2
Subtracting (-13) is the same as adding 13. -15 + 13 = -2
7. 17
Subtracting (-14) is the same as adding 14. 3 + 14 = 17
8. 10
Multiply the sizes: 5 × 2 = 10. Same signs give positive, different signs give negative. Answer: 10
9. -20
Start at -11 on a number line. Move 9 left. You land on -20.
10. -4
Start at -15 on a number line. Move 11 right. You land on -4.
11. -5
Start at -15 on a number line. Move 10 right. You land on -5.
12. -9
Subtracting (-13) is the same as adding 13. -22 + 13 = -9
Worked examples
-3 − 1 = ?
- Subtracting 1 is the same as adding -1.
- -3 + (-1) = -4
- Answer: -4
17 + (-20) = ?
- Start at 17 on a number line.
- Move 20 left.
- You land on -3.
- Answer: -3
9 × 27 = ?
- Multiply the sizes: 9 × 27 = 243.
- Same signs give positive, different signs give negative.
- Answer: 243
- Answer: 243
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.
Every free resource for Working with Integer Number Line
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 Working with Integer Number Line 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 Integer Number Line, Negative Numbers. 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 Working with Integer Number Line?
- Move on to Integer Number Line in Context, Negative Numbers, Adding Integers, Subtracting Integers, which build directly on this idea.
Related resources
Stuck on Working with Integer Number Line? The AI Tutor already knows this page, its prerequisites and its common mistakes.
Open the free AI Tutor