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Free Grade 3 Introduction to Introducing Sampling Essentials: Worked Examples Lesson Plans

Free Grade 3 lesson plans for Introduction to Introducing Sampling Essentials: Worked Examples: 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

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 introduction to introducing sampling essentials: worked examples

    Identify introduction to introducing sampling essentials: worked examples accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • UnderstandExplain introduction to introducing sampling essentials: worked examples

    Explain introduction to introducing sampling essentials: worked examples accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • ApplyCalculate introduction to introducing sampling essentials: worked examples

    Calculate introduction to introducing sampling essentials: worked examples accurately in a familiar context.

    Assessed by: Exit ticket of four short items

  • AnalyseCompare introduction to introducing sampling essentials: worked examples

    Compare introduction to introducing sampling essentials: worked examples 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 Introducing Sampling Essentials: Worked Examples 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 13, Blue 10, Green 5, Yellow 9. In a pie chart, what angle does Yellow get?[1]
  2. 2.In a survey: Red 11, Blue 7, Green 4, Yellow 8. In a pie chart, what angle does Green get?[1]
  3. 3.In a survey: Red 7, Blue 9, Green 10, Yellow 5. In a pie chart, what angle does Yellow get?[1]
  4. 4.In a survey: Red 6, Blue 6, Green 7, Yellow 11. In a pie chart, what angle does Green get?[1]
  5. 5.In a survey: Red 11, Blue 5, Green 14, Yellow 11. In a pie chart, what angle does Green get?[2]
  6. 6.In a survey: Red 7, Blue 12, Green 5, Yellow 10. In a pie chart, what angle does Yellow get?[2]
  7. 7.In a survey: Red 13, Blue 10, Green 2, Yellow 3. In a pie chart, what angle does Blue get?[2]
  8. 8.In a survey: Red 14, Blue 10, Green 10, Yellow 5. In a pie chart, what angle does Yellow get?[2]
  9. 9.In a survey: Red 9, Blue 15, Green 6, Yellow 7. In a pie chart, what angle does Yellow get?[3]
  10. 10.In a survey: Red 2, Blue 13, Green 4, Yellow 3. In a pie chart, what angle does Green get?[3]
  11. 11.In a survey: Red 7, Blue 9, Green 6, Yellow 14. In a pie chart, what angle does Blue get?[3]
  12. 12.In a survey: Red 15, Blue 2, Green 13, Yellow 2. In a pie chart, what angle does Green get?[3]
Show answers and working
  1. 1. 87.6°

    Total = 37. Yellow fraction = 9/37. 9/37 × 360° = 87.6°.

  2. 2. 48°

    Total = 30. Green fraction = 4/30. 4/30 × 360° = 48°.

  3. 3. 58.1°

    Total = 31. Yellow fraction = 5/31. 5/31 × 360° = 58.1°.

  4. 4. 84°

    Total = 30. Green fraction = 7/30. 7/30 × 360° = 84°.

  5. 5. 122.9°

    Total = 41. Green fraction = 14/41. 14/41 × 360° = 122.9°.

  6. 6. 105.9°

    Total = 34. Yellow fraction = 10/34. 10/34 × 360° = 105.9°.

  7. 7. 128.6°

    Total = 28. Blue fraction = 10/28. 10/28 × 360° = 128.6°.

  8. 8. 46.2°

    Total = 39. Yellow fraction = 5/39. 5/39 × 360° = 46.2°.

  9. 9. 68.1°

    Total = 37. Yellow fraction = 7/37. 7/37 × 360° = 68.1°.

  10. 10. 65.5°

    Total = 22. Green fraction = 4/22. 4/22 × 360° = 65.5°.

  11. 11. 90°

    Total = 36. Blue fraction = 9/36. 9/36 × 360° = 90°.

  12. 12. 146.3°

    Total = 32. Green fraction = 13/32. 13/32 × 360° = 146.3°.

Worked examples

Easy example

In a survey: Red 9, Blue 15, Green 10, Yellow 11. In a pie chart, what angle does Yellow get?

  1. Total = 45.
  2. Yellow fraction = 11/45.
  3. 11/45 × 360° = 88°.
  4. Answer: 88°
Medium example

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

  1. Total = 43.
  2. Blue fraction = 11/43.
  3. 11/43 × 360° = 92.1°.
  4. Answer: 92.1°
Hard example

In a survey: Red 5, Blue 11, Green 13, Yellow 6. In a pie chart, what angle does Yellow get?

  1. Total = 35.
  2. Yellow fraction = 6/35.
  3. 6/35 × 360° = 61.7°.
  4. Answer: 61.7°

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.

AQA AQA-205.1 — Mapped statement covering Introduction to Introducing Sampling Essentials: Worked Examples.FBISE FBI-101.2 — Mapped statement covering Introduction to Introducing Sampling Essentials: Worked Examples.

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What should a learner already know before this?
Start with Introduction to Introducing Sampling Essentials: Step-by-step Method, What is Introduction to Introducing Sampling Essentials, Data Presentation. Each one has its own free lesson, worksheet and quiz.
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What comes next after Introduction to Introducing Sampling Essentials: Worked Examples?
Move on to Introduction to Introducing Sampling Essentials: Visual Models, Introduction to Introducing Sampling Essentials: Common Mistakes, Introduction to Introducing Sampling Essentials: Real-life Applications, Key Vocabulary of Introducing Sampling Essentials, which build directly on this idea.

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