Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Recognition Lessons
Free Grade 3 lessons for Working with Introducing Sampling Essentials: Step-by-step Method — Recognition: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling essentials: step-by-step method — recognition
Explain working with introducing sampling essentials: step-by-step method — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling essentials: step-by-step method — recognition
Calculate working with introducing sampling essentials: step-by-step method — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling essentials: step-by-step method — recognition
Compare working with introducing sampling essentials: step-by-step method — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling essentials: step-by-step method — recognition
Justify working with introducing sampling essentials: step-by-step method — recognition 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 — Recognition 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 4, Green 11, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 10, Blue 9, Green 6, Yellow 6. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 15, Blue 7, Green 13, Yellow 14. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 15, Blue 12, Green 7, Yellow 7. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 2, Blue 2, Green 3, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 3, Blue 14, Green 2, Yellow 7. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 9, Blue 6, Green 3, Yellow 12. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 8, Blue 3, Green 15, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 8, Blue 11, Green 7, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 3, Blue 15, Green 8, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 10, Blue 7, Green 8, Yellow 4. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 3, Blue 4, Green 15, Yellow 13. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 110.8°
Total = 26. Yellow fraction = 8/26. 8/26 × 360° = 110.8°.
2. 104.5°
Total = 31. Blue fraction = 9/31. 9/31 × 360° = 104.5°.
3. 110.2°
Total = 49. Red fraction = 15/49. 15/49 × 360° = 110.2°.
4. 61.5°
Total = 41. Green fraction = 7/41. 7/41 × 360° = 61.5°.
5. 65.5°
Total = 11. Blue fraction = 2/11. 2/11 × 360° = 65.5°.
6. 41.5°
Total = 26. Red fraction = 3/26. 3/26 × 360° = 41.5°.
7. 36°
Total = 30. Green fraction = 3/30. 3/30 × 360° = 36°.
8. 76.4°
Total = 33. Yellow fraction = 7/33. 7/33 × 360° = 76.4°.
9. 116.5°
Total = 34. Blue fraction = 11/34. 11/34 × 360° = 116.5°.
10. 168.8°
Total = 32. Blue fraction = 15/32. 15/32 × 360° = 168.8°.
11. 99.3°
Total = 29. Green fraction = 8/29. 8/29 × 360° = 99.3°.
12. 41.1°
Total = 35. Blue fraction = 4/35. 4/35 × 360° = 41.1°.
Worked examples
In a survey: Red 6, Blue 13, Green 8, Yellow 2. In a pie chart, what angle does Yellow get?
- Total = 29.
- Yellow fraction = 2/29.
- 2/29 × 360° = 24.8°.
- Answer: 24.8°
In a survey: Red 2, Blue 12, Green 6, Yellow 3. In a pie chart, what angle does Red get?
- Total = 23.
- Red fraction = 2/23.
- 2/23 × 360° = 31.3°.
- Answer: 31.3°
In a survey: Red 7, Blue 10, Green 13, Yellow 9. In a pie chart, what angle does Red get?
- Total = 39.
- Red fraction = 7/39.
- 7/39 × 360° = 64.6°.
- Answer: 64.6°
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 What is Working with Introducing Sampling Essentials. Each one has its own free lesson, worksheet and quiz.
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