Free Grade 3 Sampling in Context Lesson Plans
Free Grade 3 lesson plans for Sampling in Context: 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
Core
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain sampling in context
Explain sampling in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sampling in context
Calculate sampling in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sampling in context
Compare sampling in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify sampling in context
Justify sampling in context 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 Sampling in Context 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 7, Blue 3, Green 2, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 2, Blue 11, Green 10, Yellow 14. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 11, Blue 8, Green 12, Yellow 11. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 3, Blue 13, Green 2, Yellow 2. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 7, Blue 10, Green 10, Yellow 2. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 8, Blue 6, Green 14, Yellow 15. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 9, Blue 8, Green 8, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 7, Blue 10, Green 4, Yellow 13. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 14, Blue 13, Green 2, Yellow 3. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 13, Blue 6, Green 3, Yellow 3. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 5, Blue 6, Green 5, Yellow 2. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 7, Blue 14, Green 15, Yellow 9. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 90°
Total = 16. Yellow fraction = 4/16. 4/16 × 360° = 90°.
2. 97.3°
Total = 37. Green fraction = 10/37. 10/37 × 360° = 97.3°.
3. 102.9°
Total = 42. Green fraction = 12/42. 12/42 × 360° = 102.9°.
4. 54°
Total = 20. Red fraction = 3/20. 3/20 × 360° = 54°.
5. 124.1°
Total = 29. Green fraction = 10/29. 10/29 × 360° = 124.1°.
6. 125.6°
Total = 43. Yellow fraction = 15/43. 15/43 × 360° = 125.6°.
7. 78.8°
Total = 32. Yellow fraction = 7/32. 7/32 × 360° = 78.8°.
8. 42.4°
Total = 34. Green fraction = 4/34. 4/34 × 360° = 42.4°.
9. 22.5°
Total = 32. Green fraction = 2/32. 2/32 × 360° = 22.5°.
10. 43.2°
Total = 25. Yellow fraction = 3/25. 3/25 × 360° = 43.2°.
11. 40°
Total = 18. Yellow fraction = 2/18. 2/18 × 360° = 40°.
12. 120°
Total = 45. Green fraction = 15/45. 15/45 × 360° = 120°.
Worked examples
In a survey: Red 3, Blue 10, Green 7, Yellow 4. In a pie chart, what angle does Green get?
- Total = 24.
- Green fraction = 7/24.
- 7/24 × 360° = 105°.
- Answer: 105°
In a survey: Red 3, Blue 7, Green 4, Yellow 2. In a pie chart, what angle does Yellow get?
- Total = 16.
- Yellow fraction = 2/16.
- 2/16 × 360° = 45°.
- Answer: 45°
In a survey: Red 13, Blue 9, Green 8, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 38.
- Blue fraction = 9/38.
- 9/38 × 360° = 85.3°.
- Answer: 85.3°
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.
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Frequently asked
- Is this Grade 3 Sampling in Context 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 Working with Sampling, Introducing Sampling, Data Presentation. 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 Sampling in Context?
- Move on to Questionnaires, Bias, which build directly on this idea.
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