Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Reasoning Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Essentials: Step-by-step Method — 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing sampling essentials: step-by-step method — reasoning
Identify working with introducing sampling essentials: step-by-step method — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling essentials: step-by-step method — reasoning
Explain working with introducing sampling essentials: step-by-step method — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: step-by-step method — reasoning
Calculate working with introducing sampling essentials: step-by-step method — reasoning accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: step-by-step method — reasoning
Compare working with introducing sampling essentials: step-by-step method — 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: Step-by-step Method — 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 5, Blue 6, Green 13, Yellow 11. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 12, Blue 12, Green 14, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 11, Blue 14, Green 9, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 6, Blue 14, Green 4, Yellow 12. In a pie chart, what angle does Yellow get?[1]
- 5.In a survey: Red 14, Blue 6, Green 9, Yellow 13. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 15, Blue 12, Green 8, Yellow 8. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 5, Blue 4, Green 8, Yellow 11. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 5, Blue 2, Green 14, Yellow 8. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 4, Blue 3, Green 12, Yellow 9. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 2, Blue 6, Green 9, Yellow 7. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 10, Blue 15, Green 9, Yellow 3. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 15, Blue 8, Green 9, Yellow 5. In a pie chart, what angle does Red get?[3]
Show answers and working
1. 51.4°
Total = 35. Red fraction = 5/35. 5/35 × 360° = 51.4°.
2. 62.6°
Total = 46. Yellow fraction = 8/46. 8/46 × 360° = 62.6°.
3. 105°
Total = 48. Yellow fraction = 14/48. 14/48 × 360° = 105°.
4. 120°
Total = 36. Yellow fraction = 12/36. 12/36 × 360° = 120°.
5. 111.4°
Total = 42. Yellow fraction = 13/42. 13/42 × 360° = 111.4°.
6. 67°
Total = 43. Yellow fraction = 8/43. 8/43 × 360° = 67°.
7. 64.3°
Total = 28. Red fraction = 5/28. 5/28 × 360° = 64.3°.
8. 173.8°
Total = 29. Green fraction = 14/29. 14/29 × 360° = 173.8°.
9. 51.4°
Total = 28. Red fraction = 4/28. 4/28 × 360° = 51.4°.
10. 30°
Total = 24. Red fraction = 2/24. 2/24 × 360° = 30°.
11. 87.6°
Total = 37. Green fraction = 9/37. 9/37 × 360° = 87.6°.
12. 145.9°
Total = 37. Red fraction = 15/37. 15/37 × 360° = 145.9°.
Worked examples
In a survey: Red 5, Blue 9, Green 13, Yellow 14. In a pie chart, what angle does Blue get?
- Total = 41.
- Blue fraction = 9/41.
- 9/41 × 360° = 79°.
- Answer: 79°
In a survey: Red 13, Blue 3, Green 5, Yellow 13. In a pie chart, what angle does Yellow get?
- Total = 34.
- Yellow fraction = 13/34.
- 13/34 × 360° = 137.6°.
- Answer: 137.6°
In a survey: Red 13, Blue 15, Green 5, Yellow 6. In a pie chart, what angle does Red get?
- Total = 39.
- Red fraction = 13/39.
- 13/39 × 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
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