Free Grade 3 Working with Introducing Sampling Techniques: Visual Models — Recognition Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Techniques: Visual Models — 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
Stretch
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling techniques: visual models — recognition
Explain working with introducing sampling techniques: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: visual models — recognition
Calculate working with introducing sampling techniques: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: visual models — recognition
Compare working with introducing sampling techniques: visual models — recognition accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling techniques: visual models — recognition
Justify working with introducing sampling techniques: visual models — 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 Techniques: Visual Models — 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 9, Blue 15, Green 11, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 12, Blue 14, Green 2, Yellow 14. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 7, Blue 7, Green 4, Yellow 2. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 4, Blue 10, Green 4, Yellow 3. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 2, Blue 8, Green 13, Yellow 2. In a pie chart, what angle does Blue get?[2]
- 6.In a survey: Red 4, Blue 8, Green 10, Yellow 7. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 4, Blue 11, Green 3, Yellow 2. In a pie chart, what angle does Red get?[2]
- 8.In a survey: Red 11, Blue 7, Green 13, Yellow 8. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 12, Blue 10, Green 11, Yellow 6. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 10, Blue 10, Green 12, Yellow 12. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 7, Blue 3, Green 8, Yellow 14. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 4, Blue 2, Green 9, Yellow 11. In a pie chart, what angle does Blue get?[3]
Show answers and working
1. 125.6°
Total = 43. Blue fraction = 15/43. 15/43 × 360° = 125.6°.
2. 120°
Total = 42. Yellow fraction = 14/42. 14/42 × 360° = 120°.
3. 36°
Total = 20. Yellow fraction = 2/20. 2/20 × 360° = 36°.
4. 68.6°
Total = 21. Green fraction = 4/21. 4/21 × 360° = 68.6°.
5. 115.2°
Total = 25. Blue fraction = 8/25. 8/25 × 360° = 115.2°.
6. 124.1°
Total = 29. Green fraction = 10/29. 10/29 × 360° = 124.1°.
7. 72°
Total = 20. Red fraction = 4/20. 4/20 × 360° = 72°.
8. 64.6°
Total = 39. Blue fraction = 7/39. 7/39 × 360° = 64.6°.
9. 92.3°
Total = 39. Blue fraction = 10/39. 10/39 × 360° = 92.3°.
10. 81.8°
Total = 44. Blue fraction = 10/44. 10/44 × 360° = 81.8°.
11. 90°
Total = 32. Green fraction = 8/32. 8/32 × 360° = 90°.
12. 27.7°
Total = 26. Blue fraction = 2/26. 2/26 × 360° = 27.7°.
Worked examples
In a survey: Red 15, Blue 11, Green 15, Yellow 13. In a pie chart, what angle does Green get?
- Total = 54.
- Green fraction = 15/54.
- 15/54 × 360° = 100°.
- Answer: 100°
In a survey: Red 12, Blue 9, Green 5, Yellow 11. In a pie chart, what angle does Yellow get?
- Total = 37.
- Yellow fraction = 11/37.
- 11/37 × 360° = 107°.
- Answer: 107°
In a survey: Red 6, Blue 3, Green 7, Yellow 14. In a pie chart, what angle does Red get?
- Total = 30.
- Red fraction = 6/30.
- 6/30 × 360° = 72°.
- Answer: 72°
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
How mastery is evidenced, and which standards it maps to.
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- Start with Working with Introducing Sampling Techniques: Worked Examples. Each one has its own free lesson, worksheet and quiz.
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