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Free Grade 3 Working with Introducing Adding Integers Common Errors: Visual Models Lesson Plans

Free Grade 3 lesson plans for Working with Introducing Adding Integers Common Errors: Visual Models: 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

Higher

Estimated time

30 min

Total marks

24

Learning objectives

Every objective is checkable, and each one maps to an activity and an assessment.

  • RememberIdentify working with introducing adding integers common errors: visual models

    Identify working with introducing adding integers common errors: visual models accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain working with introducing adding integers common errors: visual models

    Explain working with introducing adding integers common errors: visual models accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate working with introducing adding integers common errors: visual models

    Calculate working with introducing adding integers common errors: visual models accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare working with introducing adding integers common errors: visual models

    Compare working with introducing adding integers common errors: visual models 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 Introducing Adding Integers Common Errors: Visual Models 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. 1.10 − (-9) = ?[1]
  2. 2.9 − 7 = ?[1]
  3. 3.1 + (-8) = ?[1]
  4. 4.-6 + 6 = ?[1]
  5. 5.19 − 19 = ?[2]
  6. 6.1 × (-2) = ?[2]
  7. 7.-20 + 0 = ?[2]
  8. 8.9 + 11 = ?[2]
  9. 9.7 − 25 = ?[3]
  10. 10.-15 × (-30) = ?[3]
  11. 11.5 + 27 = ?[3]
  12. 12.-3 × (-29) = ?[3]
Show answers and working
  1. 1. 19

    Subtracting (-9) is the same as adding 9. 10 + 9 = 19

  2. 2. 2

    Subtracting 7 is the same as adding -7. 9 + (-7) = 2

  3. 3. -7

    Start at 1 on a number line. Move 8 left. You land on -7.

  4. 4. 0

    Start at -6 on a number line. Move 6 right. You land on 0.

  5. 5. 0

    Subtracting 19 is the same as adding -19. 19 + (-19) = 0

  6. 6. -2

    Multiply the sizes: 1 × 2 = 2. Same signs give positive, different signs give negative. Answer: -2

  7. 7. -20

    Start at -20 on a number line. Move 0 right. You land on -20.

  8. 8. 20

    Start at 9 on a number line. Move 11 right. You land on 20.

  9. 9. -18

    Subtracting 25 is the same as adding -25. 7 + (-25) = -18

  10. 10. 450

    Multiply the sizes: 15 × 30 = 450. Same signs give positive, different signs give negative. Answer: 450

  11. 11. 32

    Start at 5 on a number line. Move 27 right. You land on 32.

  12. 12. 87

    Multiply the sizes: 3 × 29 = 87. Same signs give positive, different signs give negative. Answer: 87

Worked examples

Easy example

-1 − (-8) = ?

  1. Subtracting (-8) is the same as adding 8.
  2. -1 + 8 = 7
  3. Answer: 7
Medium example

7 + 13 = ?

  1. Start at 7 on a number line.
  2. Move 13 right.
  3. You land on 20.
  4. Answer: 20
Hard example

20 − (-14) = ?

  1. Subtracting (-14) is the same as adding 14.
  2. 20 + 14 = 34
  3. Answer: 34

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.

AQA AQA-649.1 — Mapped statement covering Working with Introducing Adding Integers Common Errors: Visual Models.FBISE FBI-903.2 — Mapped statement covering Working with Introducing Adding Integers Common Errors: Visual Models.

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What comes next after Working with Introducing Adding Integers Common Errors: Visual Models?
Move on to Working with Introducing Adding Integers Common Errors: Common Mistakes, Working with Introducing Adding Integers Common Errors: Real-life Applications, Introduction to Introducing Adding Integers Common Errors, Key Vocabulary of Introducing Adding Integers Common Errors, which build directly on this idea.

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