Free Grade 3 Working with Introducing Sampling Techniques: Visual Models — Application Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Techniques: Visual Models — 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
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify working with introducing sampling techniques: visual models — application
Identify working with introducing sampling techniques: visual models — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain working with introducing sampling techniques: visual models — application
Explain working with introducing sampling techniques: visual models — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: visual models — application
Calculate working with introducing sampling techniques: visual models — application accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: visual models — application
Compare working with introducing sampling techniques: visual models — 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: Visual Models — 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 15, Blue 7, Green 4, Yellow 7. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 6, Blue 5, Green 15, Yellow 13. In a pie chart, what angle does Red get?[1]
- 3.In a survey: Red 10, Blue 10, Green 9, Yellow 15. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 11, Blue 8, Green 6, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 5, Blue 2, Green 9, Yellow 8. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 4, Blue 13, Green 3, Yellow 7. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 14, Blue 15, Green 2, Yellow 11. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 4, Blue 10, Green 12, Yellow 11. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 15, Blue 12, Green 4, Yellow 14. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 9, Blue 2, Green 13, Yellow 14. In a pie chart, what angle does Red get?[3]
- 11.In a survey: Red 15, Blue 3, Green 5, Yellow 12. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 12, Blue 8, Green 2, Yellow 10. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 76.4°
Total = 33. Blue fraction = 7/33. 7/33 × 360° = 76.4°.
2. 55.4°
Total = 39. Red fraction = 6/39. 6/39 × 360° = 55.4°.
3. 73.6°
Total = 44. Green fraction = 9/44. 9/44 × 360° = 73.6°.
4. 102.9°
Total = 28. Blue fraction = 8/28. 8/28 × 360° = 102.9°.
5. 30°
Total = 24. Blue fraction = 2/24. 2/24 × 360° = 30°.
6. 173.3°
Total = 27. Blue fraction = 13/27. 13/27 × 360° = 173.3°.
7. 128.6°
Total = 42. Blue fraction = 15/42. 15/42 × 360° = 128.6°.
8. 107°
Total = 37. Yellow fraction = 11/37. 11/37 × 360° = 107°.
9. 96°
Total = 45. Blue fraction = 12/45. 12/45 × 360° = 96°.
10. 85.3°
Total = 38. Red fraction = 9/38. 9/38 × 360° = 85.3°.
11. 51.4°
Total = 35. Green fraction = 5/35. 5/35 × 360° = 51.4°.
12. 22.5°
Total = 32. Green fraction = 2/32. 2/32 × 360° = 22.5°.
Worked examples
In a survey: Red 13, Blue 10, Green 13, Yellow 3. In a pie chart, what angle does Yellow get?
- Total = 39.
- Yellow fraction = 3/39.
- 3/39 × 360° = 27.7°.
- Answer: 27.7°
In a survey: Red 15, Blue 13, Green 8, Yellow 11. In a pie chart, what angle does Red get?
- Total = 47.
- Red fraction = 15/47.
- 15/47 × 360° = 114.9°.
- Answer: 114.9°
In a survey: Red 11, Blue 15, Green 10, Yellow 12. In a pie chart, what angle does Yellow get?
- Total = 48.
- Yellow fraction = 12/48.
- 12/48 × 360° = 90°.
- Answer: 90°
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 Techniques: Visual Models — Understanding, Working with Introducing Sampling Techniques: Visual Models — Recognition, Working with Introducing Sampling Techniques: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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