Free Grade 3 Working with Introducing Sampling Essentials: Visual Models — Reasoning Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Essentials: Visual Models — Reasoning: 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing sampling essentials: visual models — reasoning
Identify working with introducing sampling essentials: visual models — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: visual models — reasoning
Explain working with introducing sampling essentials: visual models — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: visual models — reasoning
Calculate working with introducing sampling essentials: visual models — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: visual models — reasoning
Compare working with introducing sampling essentials: visual models — reasoning 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 Introducing Sampling Essentials: Visual Models — Reasoning 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 13, Blue 6, Green 3, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 4, Blue 11, Green 13, Yellow 4. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 14, Blue 15, Green 8, Yellow 10. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 6, Blue 5, Green 2, Yellow 2. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 12, Blue 14, Green 10, Yellow 8. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 5, Blue 4, Green 15, Yellow 4. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 9, Blue 7, Green 13, Yellow 12. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 7, Blue 14, Green 14, Yellow 14. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 6, Blue 10, Green 5, Yellow 14. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 11, Blue 7, Green 3, Yellow 11. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 2, Blue 4, Green 7, Yellow 8. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 2, Blue 14, Green 9, Yellow 14. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 61.7°
Total = 35. Blue fraction = 6/35. 6/35 × 360° = 61.7°.
2. 45°
Total = 32. Yellow fraction = 4/32. 4/32 × 360° = 45°.
3. 76.6°
Total = 47. Yellow fraction = 10/47. 10/47 × 360° = 76.6°.
4. 48°
Total = 15. Yellow fraction = 2/15. 2/15 × 360° = 48°.
5. 65.5°
Total = 44. Yellow fraction = 8/44. 8/44 × 360° = 65.5°.
6. 192.9°
Total = 28. Green fraction = 15/28. 15/28 × 360° = 192.9°.
7. 79°
Total = 41. Red fraction = 9/41. 9/41 × 360° = 79°.
8. 51.4°
Total = 49. Red fraction = 7/49. 7/49 × 360° = 51.4°.
9. 102.9°
Total = 35. Blue fraction = 10/35. 10/35 × 360° = 102.9°.
10. 33.8°
Total = 32. Green fraction = 3/32. 3/32 × 360° = 33.8°.
11. 34.3°
Total = 21. Red fraction = 2/21. 2/21 × 360° = 34.3°.
12. 129.2°
Total = 39. Blue fraction = 14/39. 14/39 × 360° = 129.2°.
Worked examples
In a survey: Red 12, Blue 2, Green 9, Yellow 10. In a pie chart, what angle does Blue get?
- Total = 33.
- Blue fraction = 2/33.
- 2/33 × 360° = 21.8°.
- Answer: 21.8°
In a survey: Red 8, Blue 11, Green 14, Yellow 7. In a pie chart, what angle does Red get?
- Total = 40.
- Red fraction = 8/40.
- 8/40 × 360° = 72°.
- Answer: 72°
In a survey: Red 8, Blue 5, Green 12, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 35.
- Yellow fraction = 10/35.
- 10/35 × 360° = 102.9°.
- Answer: 102.9°
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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- Start with Working with Introducing Sampling Essentials: Visual Models — Application, Working with Introducing Sampling Essentials: Visual Models — Understanding, Working with Introducing Sampling Essentials: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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