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Free Grade 3 Introduction to Sampling in Context Common Errors Lesson Plans

Free Grade 3 lesson plans for Introduction to Sampling in Context Common Errors: 12 real questions with a full answer key and worked solutions. Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.

Price

Free

Difficulty

Foundation

Estimated time

25 min

Total marks

24

Learning objectives

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

  • RememberIdentify introduction to sampling in context common errors

    Identify introduction to sampling in context common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introduction to sampling in context common errors

    Explain introduction to sampling in context common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introduction to sampling in context common errors

    Calculate introduction to sampling in context common errors accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introduction to sampling in context common errors

    Compare introduction to sampling in context common errors 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 Introduction to Sampling in Context Common Errors works

Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.

Key wordsbar chartpie chartfrequencytotalsector

12 practice questions

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

  1. 1.In a survey: Red 3, Blue 8, Green 9, Yellow 10. In a pie chart, what angle does Green get?[1]
  2. 2.In a survey: Red 10, Blue 11, Green 13, Yellow 12. In a pie chart, what angle does Blue get?[1]
  3. 3.In a survey: Red 3, Blue 15, Green 2, Yellow 5. In a pie chart, what angle does Green get?[1]
  4. 4.In a survey: Red 6, Blue 13, Green 12, Yellow 15. In a pie chart, what angle does Green get?[1]
  5. 5.In a survey: Red 9, Blue 2, Green 13, Yellow 9. In a pie chart, what angle does Blue get?[2]
  6. 6.In a survey: Red 12, Blue 15, Green 15, Yellow 6. In a pie chart, what angle does Blue get?[2]
  7. 7.In a survey: Red 9, Blue 9, Green 8, Yellow 3. In a pie chart, what angle does Green get?[2]
  8. 8.In a survey: Red 8, Blue 5, Green 9, Yellow 6. In a pie chart, what angle does Yellow get?[2]
  9. 9.In a survey: Red 9, Blue 5, Green 15, Yellow 14. In a pie chart, what angle does Blue get?[3]
  10. 10.In a survey: Red 4, Blue 6, Green 11, Yellow 14. In a pie chart, what angle does Red get?[3]
  11. 11.In a survey: Red 14, Blue 14, Green 11, Yellow 13. In a pie chart, what angle does Green get?[3]
  12. 12.In a survey: Red 3, Blue 12, Green 8, Yellow 6. In a pie chart, what angle does Red get?[3]
Show answers and working
  1. 1. 108°

    Total = 30. Green fraction = 9/30. 9/30 × 360° = 108°.

  2. 2. 86.1°

    Total = 46. Blue fraction = 11/46. 11/46 × 360° = 86.1°.

  3. 3. 28.8°

    Total = 25. Green fraction = 2/25. 2/25 × 360° = 28.8°.

  4. 4. 93.9°

    Total = 46. Green fraction = 12/46. 12/46 × 360° = 93.9°.

  5. 5. 21.8°

    Total = 33. Blue fraction = 2/33. 2/33 × 360° = 21.8°.

  6. 6. 112.5°

    Total = 48. Blue fraction = 15/48. 15/48 × 360° = 112.5°.

  7. 7. 99.3°

    Total = 29. Green fraction = 8/29. 8/29 × 360° = 99.3°.

  8. 8. 77.1°

    Total = 28. Yellow fraction = 6/28. 6/28 × 360° = 77.1°.

  9. 9. 41.9°

    Total = 43. Blue fraction = 5/43. 5/43 × 360° = 41.9°.

  10. 10. 41.1°

    Total = 35. Red fraction = 4/35. 4/35 × 360° = 41.1°.

  11. 11. 76.2°

    Total = 52. Green fraction = 11/52. 11/52 × 360° = 76.2°.

  12. 12. 37.2°

    Total = 29. Red fraction = 3/29. 3/29 × 360° = 37.2°.

Worked examples

Easy example

In a survey: Red 11, Blue 2, Green 12, Yellow 9. In a pie chart, what angle does Yellow get?

  1. Total = 34.
  2. Yellow fraction = 9/34.
  3. 9/34 × 360° = 95.3°.
  4. Answer: 95.3°
Medium example

In a survey: Red 15, Blue 8, Green 4, Yellow 4. In a pie chart, what angle does Yellow get?

  1. Total = 31.
  2. Yellow fraction = 4/31.
  3. 4/31 × 360° = 46.5°.
  4. Answer: 46.5°
Hard example

In a survey: Red 11, Blue 6, Green 13, Yellow 14. In a pie chart, what angle does Green get?

  1. Total = 44.
  2. Green fraction = 13/44.
  3. 13/44 × 360° = 106.4°.
  4. Answer: 106.4°

Interactive practice

Free, no account required — answer on screen or print it.

Common mistakes

What learners typically get wrong, and how to fix it.

  • Uses 100 instead of 360 for pie-chart angles.

    Correction: A full circle is 360°.

  • Forgets to find the total first.

    Correction: Add all frequencies before working out fractions.

Teacher tips

  • · Have pupils check that all angles add to 360°.

Parent tips

  • · Look at charts in the news and ask what they show.

Real-life applications

  • · News infographics, survey results.

Assessment objectives

How mastery is evidenced, and which standards it maps to.

IB IB-339.1 — Mapped statement covering Introduction to Sampling in Context Common Errors.EDEXCEL EDE-248.2 — Mapped statement covering Introduction to Sampling in Context Common Errors.

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Frequently asked

Is this Grade 3 Introduction to Sampling in Context Common Errors 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 Sampling in Context Word Problems. 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 Introduction to Sampling in Context Common Errors?
Move on to Key Vocabulary of Sampling in Context Common Errors, Rules and Methods in Sampling in Context Common Errors, Working with Sampling in Context Common Errors, Sampling in Context Common Errors in Examinations, which build directly on this idea.

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