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

Free Grade 3 lessons 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

35 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. 1.0 − (-1) = ?[1]
  2. 2.1 + (-1) = ?[1]
  3. 3.-8 + 2 = ?[1]
  4. 4.-9 − 0 = ?[1]
  5. 5.-14 × (-15) = ?[2]
  6. 6.2 + 15 = ?[2]
  7. 7.-1 + 17 = ?[2]
  8. 8.-12 − (-17) = ?[2]
  9. 9.23 + 10 = ?[3]
  10. 10.8 × 27 = ?[3]
  11. 11.29 × (-5) = ?[3]
  12. 12.25 × (-16) = ?[3]
Show answers and working
  1. 1. 1

    Subtracting (-1) is the same as adding 1. 0 + 1 = 1

  2. 2. 0

    Start at 1 on a number line. Move 1 left. You land on 0.

  3. 3. -6

    Start at -8 on a number line. Move 2 right. You land on -6.

  4. 4. -9

    Subtracting 0 is the same as adding 0. -9 + 0 = -9

  5. 5. 210

    Multiply the sizes: 14 × 15 = 210. Same signs give positive, different signs give negative. Answer: 210

  6. 6. 17

    Start at 2 on a number line. Move 15 right. You land on 17.

  7. 7. 16

    Start at -1 on a number line. Move 17 right. You land on 16.

  8. 8. 5

    Subtracting (-17) is the same as adding 17. -12 + 17 = 5

  9. 9. 33

    Start at 23 on a number line. Move 10 right. You land on 33.

  10. 10. 216

    Multiply the sizes: 8 × 27 = 216. Same signs give positive, different signs give negative. Answer: 216

  11. 11. -145

    Multiply the sizes: 29 × 5 = 145. Same signs give positive, different signs give negative. Answer: -145

  12. 12. -400

    Multiply the sizes: 25 × 16 = 400. Same signs give positive, different signs give negative. Answer: -400

Worked examples

Easy example

5 − 5 = ?

  1. Subtracting 5 is the same as adding -5.
  2. 5 + (-5) = 0
  3. Answer: 0
Medium example

12 − (-11) = ?

  1. Subtracting (-11) is the same as adding 11.
  2. 12 + 11 = 23
  3. Answer: 23
Hard example

-26 + (-14) = ?

  1. Start at -26 on a number line.
  2. Move 14 left.
  3. You land on -40.
  4. Answer: -40

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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