Free Grade 3 Sampling in Context Techniques Lesson Plans
Free Grade 3 lesson plans for Sampling in Context Techniques: 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain sampling in context techniques
Explain sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate sampling in context techniques
Calculate sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare sampling in context techniques
Compare sampling in context techniques accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify sampling in context techniques
Justify sampling in context techniques 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 Techniques 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 4, Blue 9, Green 14, Yellow 8. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 13, Blue 9, Green 10, Yellow 11. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 11, Blue 8, Green 4, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 14, Blue 8, Green 11, Yellow 15. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 10, Blue 4, Green 8, Yellow 15. In a pie chart, what angle does Green get?[2]
- 6.In a survey: Red 3, Blue 7, Green 3, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 12, Blue 13, Green 5, Yellow 9. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 8, Blue 13, Green 15, Yellow 3. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 6, Blue 14, Green 7, Yellow 6. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 2, Blue 4, Green 9, Yellow 14. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 2, Blue 13, Green 3, Yellow 3. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 14, Blue 7, Green 6, Yellow 4. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 144°
Total = 35. Green fraction = 14/35. 14/35 × 360° = 144°.
2. 108.8°
Total = 43. Red fraction = 13/43. 13/43 × 360° = 108.8°.
3. 106.7°
Total = 27. Blue fraction = 8/27. 8/27 × 360° = 106.7°.
4. 60°
Total = 48. Blue fraction = 8/48. 8/48 × 360° = 60°.
5. 77.8°
Total = 37. Green fraction = 8/37. 8/37 × 360° = 77.8°.
6. 180°
Total = 26. Yellow fraction = 13/26. 13/26 × 360° = 180°.
7. 46.2°
Total = 39. Green fraction = 5/39. 5/39 × 360° = 46.2°.
8. 138.5°
Total = 39. Green fraction = 15/39. 15/39 × 360° = 138.5°.
9. 76.4°
Total = 33. Green fraction = 7/33. 7/33 × 360° = 76.4°.
10. 173.8°
Total = 29. Yellow fraction = 14/29. 14/29 × 360° = 173.8°.
11. 51.4°
Total = 21. Green fraction = 3/21. 3/21 × 360° = 51.4°.
12. 162.6°
Total = 31. Red fraction = 14/31. 14/31 × 360° = 162.6°.
Worked examples
In a survey: Red 6, Blue 11, Green 4, Yellow 2. In a pie chart, what angle does Yellow get?
- Total = 23.
- Yellow fraction = 2/23.
- 2/23 × 360° = 31.3°.
- Answer: 31.3°
In a survey: Red 8, Blue 13, Green 8, Yellow 7. In a pie chart, what angle does Red get?
- Total = 36.
- Red fraction = 8/36.
- 8/36 × 360° = 80°.
- Answer: 80°
In a survey: Red 3, Blue 2, Green 3, Yellow 14. In a pie chart, what angle does Blue get?
- Total = 22.
- Blue fraction = 2/22.
- 2/22 × 360° = 32.7°.
- Answer: 32.7°
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.
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Frequently asked
- Is this Grade 3 Sampling in Context Techniques 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 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 Sampling in Context Techniques?
- Move on to Sampling in Context Word Problems, Sampling in Context Common Errors, Introducing Sampling, Working with Sampling, which build directly on this idea.
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