Free Grade 3 Working with Introducing Sampling Techniques: Step-by-step Method — Application Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Techniques: Step-by-step Method — Application: 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
Higher
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing sampling techniques: step-by-step method — application
Identify working with introducing sampling techniques: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling techniques: step-by-step method — application
Explain working with introducing sampling techniques: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: step-by-step method — application
Calculate working with introducing sampling techniques: step-by-step method — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: step-by-step method — application
Compare working with introducing sampling techniques: step-by-step method — application 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 Techniques: Step-by-step Method — Application 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 2, Blue 5, Green 4, Yellow 3. In a pie chart, what angle does Yellow get?[1]
- 2.In a survey: Red 4, Blue 7, Green 13, Yellow 9. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 2, Blue 6, Green 13, Yellow 9. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 9, Blue 12, Green 6, Yellow 13. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 10, Blue 3, Green 9, Yellow 14. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 9, Blue 10, Green 13, Yellow 7. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 15, Blue 11, Green 11, Yellow 9. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 15, Blue 5, Green 5, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 10, Blue 7, Green 10, Yellow 14. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 11, Blue 4, Green 4, Yellow 2. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 6, Blue 6, Green 6, Yellow 6. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 13, Blue 9, Green 8, Yellow 12. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 77.1°
Total = 14. Yellow fraction = 3/14. 3/14 × 360° = 77.1°.
2. 43.6°
Total = 33. Red fraction = 4/33. 4/33 × 360° = 43.6°.
3. 72°
Total = 30. Blue fraction = 6/30. 6/30 × 360° = 72°.
4. 108°
Total = 40. Blue fraction = 12/40. 12/40 × 360° = 108°.
5. 30°
Total = 36. Blue fraction = 3/36. 3/36 × 360° = 30°.
6. 83.1°
Total = 39. Red fraction = 9/39. 9/39 × 360° = 83.1°.
7. 70.4°
Total = 46. Yellow fraction = 9/46. 9/46 × 360° = 70.4°.
8. 78.8°
Total = 32. Yellow fraction = 7/32. 7/32 × 360° = 78.8°.
9. 87.8°
Total = 41. Red fraction = 10/41. 10/41 × 360° = 87.8°.
10. 68.6°
Total = 21. Blue fraction = 4/21. 4/21 × 360° = 68.6°.
11. 90°
Total = 24. Red fraction = 6/24. 6/24 × 360° = 90°.
12. 68.6°
Total = 42. Green fraction = 8/42. 8/42 × 360° = 68.6°.
Worked examples
In a survey: Red 11, Blue 4, Green 8, Yellow 6. 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 13, Blue 6, Green 6, Yellow 7. In a pie chart, what angle does Yellow get?
- Total = 32.
- Yellow fraction = 7/32.
- 7/32 × 360° = 78.8°.
- Answer: 78.8°
In a survey: Red 11, Blue 15, Green 14, Yellow 8. In a pie chart, what angle does Green get?
- Total = 48.
- Green fraction = 14/48.
- 14/48 × 360° = 105°.
- Answer: 105°
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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