Free Grade 3 Rules and Methods in Sampling in Context Essentials Lesson Plans
Free Grade 3 lesson plans for Rules and Methods in Sampling in Context Essentials: 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°.
Free
Foundation
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rules and methods in sampling in context essentials
Identify rules and methods in sampling in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rules and methods in sampling in context essentials
Explain rules and methods in sampling in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rules and methods in sampling in context essentials
Calculate rules and methods in sampling in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rules and methods in sampling in context essentials
Compare rules and methods in sampling in context essentials 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 Rules and Methods in Sampling in Context Essentials works
Charts show data visually. In a pie chart, each category's angle is its fraction of the total multiplied by 360°.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.In a survey: Red 3, Blue 7, Green 8, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 15, Blue 10, Green 13, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 8, Blue 7, Green 9, Yellow 3. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 7, Blue 8, Green 4, Yellow 15. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 11, Blue 14, Green 15, Yellow 7. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 14, Blue 10, Green 6, Yellow 11. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 4, Blue 2, Green 3, Yellow 13. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 6, Blue 9, Green 12, Yellow 4. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 2, Blue 13, Green 6, Yellow 2. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 8, Blue 4, Green 2, Yellow 3. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 8, Blue 10, Green 4, Yellow 5. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 10, Blue 15, Green 5, Yellow 13. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 65.5°
Total = 22. Yellow fraction = 4/22. 4/22 × 360° = 65.5°.
2. 72°
Total = 50. Blue fraction = 10/50. 10/50 × 360° = 72°.
3. 106.7°
Total = 27. Red fraction = 8/27. 8/27 × 360° = 106.7°.
4. 42.4°
Total = 34. Green fraction = 4/34. 4/34 × 360° = 42.4°.
5. 114.9°
Total = 47. Green fraction = 15/47. 15/47 × 360° = 114.9°.
6. 52.7°
Total = 41. Green fraction = 6/41. 6/41 × 360° = 52.7°.
7. 65.5°
Total = 22. Red fraction = 4/22. 4/22 × 360° = 65.5°.
8. 139.4°
Total = 31. Green fraction = 12/31. 12/31 × 360° = 139.4°.
9. 31.3°
Total = 23. Red fraction = 2/23. 2/23 × 360° = 31.3°.
10. 42.4°
Total = 17. Green fraction = 2/17. 2/17 × 360° = 42.4°.
11. 53.3°
Total = 27. Green fraction = 4/27. 4/27 × 360° = 53.3°.
12. 41.9°
Total = 43. Green fraction = 5/43. 5/43 × 360° = 41.9°.
Worked examples
In a survey: Red 14, Blue 7, Green 7, Yellow 3. In a pie chart, what angle does Green get?
- Total = 31.
- Green fraction = 7/31.
- 7/31 × 360° = 81.3°.
- Answer: 81.3°
In a survey: Red 4, Blue 8, Green 11, Yellow 9. In a pie chart, what angle does Blue get?
- Total = 32.
- Blue fraction = 8/32.
- 8/32 × 360° = 90°.
- Answer: 90°
In a survey: Red 14, Blue 10, Green 6, Yellow 15. In a pie chart, what angle does Blue get?
- Total = 45.
- Blue fraction = 10/45.
- 10/45 × 360° = 80°.
- Answer: 80°
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
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Frequently asked
- Is this Grade 3 Rules and Methods in Sampling in Context Essentials 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 Key Vocabulary of Sampling in Context Essentials, Introduction to Sampling in Context Essentials, Working with Sampling. 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 Rules and Methods in Sampling in Context Essentials?
- Move on to Working with Sampling in Context Essentials, Sampling in Context Essentials in Examinations, Sampling in Context Techniques, Sampling in Context Word Problems, which build directly on this idea.
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