Free Grade 3 Working with Introducing Sampling Essentials: Step-by-step Method — Recognition Lesson Plans
Free Grade 3 lesson plans 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
20 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 11, Blue 9, Green 9, Yellow 11. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 2, Blue 13, Green 6, Yellow 9. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 8, Blue 3, Green 3, Yellow 15. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 2, Blue 13, Green 12, Yellow 6. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 12, Blue 5, Green 11, Yellow 9. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 9, Blue 6, Green 11, Yellow 3. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 10, Blue 13, Green 2, Yellow 3. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 6, Blue 14, Green 11, Yellow 14. In a pie chart, what angle does Red get?[2]
- 9.In a survey: Red 13, Blue 8, Green 12, Yellow 9. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 14, Blue 7, Green 6, Yellow 8. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 11, Blue 3, Green 3, Yellow 13. In a pie chart, what angle does Blue get?[3]
- 12.In a survey: Red 7, Blue 11, Green 11, Yellow 7. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 81°
Total = 40. Blue fraction = 9/40. 9/40 × 360° = 81°.
2. 108°
Total = 30. Yellow fraction = 9/30. 9/30 × 360° = 108°.
3. 99.3°
Total = 29. Red fraction = 8/29. 8/29 × 360° = 99.3°.
4. 21.8°
Total = 33. Red fraction = 2/33. 2/33 × 360° = 21.8°.
5. 48.6°
Total = 37. Blue fraction = 5/37. 5/37 × 360° = 48.6°.
6. 111.7°
Total = 29. Red fraction = 9/29. 9/29 × 360° = 111.7°.
7. 167.1°
Total = 28. Blue fraction = 13/28. 13/28 × 360° = 167.1°.
8. 48°
Total = 45. Red fraction = 6/45. 6/45 × 360° = 48°.
9. 111.4°
Total = 42. Red fraction = 13/42. 13/42 × 360° = 111.4°.
10. 82.3°
Total = 35. Yellow fraction = 8/35. 8/35 × 360° = 82.3°.
11. 36°
Total = 30. Blue fraction = 3/30. 3/30 × 360° = 36°.
12. 110°
Total = 36. Blue fraction = 11/36. 11/36 × 360° = 110°.
Worked examples
In a survey: Red 9, Blue 6, Green 11, Yellow 10. In a pie chart, what angle does Blue get?
- Total = 36.
- Blue fraction = 6/36.
- 6/36 × 360° = 60°.
- Answer: 60°
In a survey: Red 11, Blue 8, Green 8, Yellow 2. In a pie chart, what angle does Red get?
- Total = 29.
- Red fraction = 11/29.
- 11/29 × 360° = 136.6°.
- Answer: 136.6°
In a survey: Red 9, Blue 11, Green 15, Yellow 3. In a pie chart, what angle does Red get?
- Total = 38.
- Red fraction = 9/38.
- 9/38 × 360° = 85.3°.
- Answer: 85.3°
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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