Free Grade 3 Working with Sampling Essentials Lesson Plans
Free Grade 3 lesson plans for Working with Sampling 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
Stretch
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with sampling essentials
Explain working with sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sampling essentials
Calculate working with sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sampling essentials
Compare working with sampling essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sampling essentials
Justify working with sampling 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 Working with Sampling 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 13, Green 7, Yellow 9. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 6, Blue 15, Green 14, Yellow 12. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 4, Blue 4, Green 9, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 4, Blue 15, Green 13, Yellow 4. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 14, Blue 10, Green 7, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 6, Blue 2, Green 5, Yellow 6. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 7, Blue 13, Green 14, Yellow 12. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 11, Blue 10, Green 13, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 5, Blue 13, Green 14, Yellow 6. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 15, Blue 7, Green 13, Yellow 2. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 5, Blue 14, Green 13, Yellow 13. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 2, Blue 3, Green 9, Yellow 15. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 33.8°
Total = 32. Red fraction = 3/32. 3/32 × 360° = 33.8°.
2. 46°
Total = 47. Red fraction = 6/47. 6/47 × 360° = 46°.
3. 149°
Total = 29. Yellow fraction = 12/29. 12/29 × 360° = 149°.
4. 40°
Total = 36. Red fraction = 4/36. 4/36 × 360° = 40°.
5. 31.8°
Total = 34. Yellow fraction = 3/34. 3/34 × 360° = 31.8°.
6. 113.7°
Total = 19. Red fraction = 6/19. 6/19 × 360° = 113.7°.
7. 93.9°
Total = 46. Yellow fraction = 12/46. 12/46 × 360° = 93.9°.
8. 94.7°
Total = 38. Blue fraction = 10/38. 10/38 × 360° = 94.7°.
9. 132.6°
Total = 38. Green fraction = 14/38. 14/38 × 360° = 132.6°.
10. 145.9°
Total = 37. Red fraction = 15/37. 15/37 × 360° = 145.9°.
11. 104°
Total = 45. Green fraction = 13/45. 13/45 × 360° = 104°.
12. 186.2°
Total = 29. Yellow fraction = 15/29. 15/29 × 360° = 186.2°.
Worked examples
In a survey: Red 3, Blue 13, Green 8, Yellow 4. In a pie chart, what angle does Green get?
- Total = 28.
- Green fraction = 8/28.
- 8/28 × 360° = 102.9°.
- Answer: 102.9°
In a survey: Red 5, Blue 6, Green 9, Yellow 8. In a pie chart, what angle does Green get?
- Total = 28.
- Green fraction = 9/28.
- 9/28 × 360° = 115.7°.
- Answer: 115.7°
In a survey: Red 12, Blue 3, Green 12, Yellow 9. In a pie chart, what angle does Red get?
- Total = 36.
- Red fraction = 12/36.
- 12/36 × 360° = 120°.
- Answer: 120°
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 Working with Sampling 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 Introducing 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 Working with Sampling Essentials?
- Move on to Working with Sampling Techniques, Working with Sampling Word Problems, Working with Sampling Common Errors, Introducing Sampling, which build directly on this idea.
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