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Free Grade 3 Introducing Negative Numbers Techniques Lesson Plans

Free Grade 3 lesson plans 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.

Price

Free

Difficulty

Stretch

Estimated time

15 min

Total marks

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.

Key wordsintegernegativepositivenumber line

12 practice questions

Easy to hard, 24 marks in total. Try them first, then open the answers.

  1. 1.8 − 1 = ?[1]
  2. 2.-9 − (-3) = ?[1]
  3. 3.7 + 2 = ?[1]
  4. 4.3 + (-5) = ?[1]
  5. 5.-13 × 16 = ?[2]
  6. 6.5 × 16 = ?[2]
  7. 7.18 × (-10) = ?[2]
  8. 8.4 + (-2) = ?[2]
  9. 9.14 + 17 = ?[3]
  10. 10.-15 − (-27) = ?[3]
  11. 11.-11 − (-20) = ?[3]
  12. 12.-18 × (-5) = ?[3]
Show answers and working
  1. 1. 7

    Subtracting 1 is the same as adding -1. 8 + (-1) = 7

  2. 2. -6

    Subtracting (-3) is the same as adding 3. -9 + 3 = -6

  3. 3. 9

    Start at 7 on a number line. Move 2 right. You land on 9.

  4. 4. -2

    Start at 3 on a number line. Move 5 left. You land on -2.

  5. 5. -208

    Multiply the sizes: 13 × 16 = 208. Same signs give positive, different signs give negative. Answer: -208

  6. 6. 80

    Multiply the sizes: 5 × 16 = 80. Same signs give positive, different signs give negative. Answer: 80

  7. 7. -180

    Multiply the sizes: 18 × 10 = 180. Same signs give positive, different signs give negative. Answer: -180

  8. 8. 2

    Start at 4 on a number line. Move 2 left. You land on 2.

  9. 9. 31

    Start at 14 on a number line. Move 17 right. You land on 31.

  10. 10. 12

    Subtracting (-27) is the same as adding 27. -15 + 27 = 12

  11. 11. 9

    Subtracting (-20) is the same as adding 20. -11 + 20 = 9

  12. 12. 90

    Multiply the sizes: 18 × 5 = 90. Same signs give positive, different signs give negative. Answer: 90

Worked examples

Easy example

6 − (-5) = ?

  1. Subtracting (-5) is the same as adding 5.
  2. 6 + 5 = 11
  3. Answer: 11
Medium example

15 + 14 = ?

  1. Start at 15 on a number line.
  2. Move 14 right.
  3. You land on 29.
  4. Answer: 29
Hard example

3 + 0 = ?

  1. Start at 3 on a number line.
  2. Move 0 right.
  3. You land on 3.
  4. Answer: 3

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.

COLLEGE-BOARD COL-969.1 — Mapped statement covering Introducing Negative Numbers Techniques.AQA AQA-596.2 — Mapped statement covering Introducing Negative Numbers Techniques.

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Frequently asked

Is this Grade 3 Introducing Negative Numbers Techniques 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 Introducing Negative Numbers Essentials, Number Formation. 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 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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