Free Grade 3 Working with Introducing Sampling Techniques: Common Mistakes Lesson Plans
Free Grade 3 lesson plans for Working with Introducing Sampling Techniques: Common Mistakes: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with introducing sampling techniques: common mistakes
Explain working with introducing sampling techniques: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with introducing sampling techniques: common mistakes
Calculate working with introducing sampling techniques: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with introducing sampling techniques: common mistakes
Compare working with introducing sampling techniques: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with introducing sampling techniques: common mistakes
Justify working with introducing sampling techniques: common mistakes 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: Common Mistakes 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 5, Blue 12, Green 10, Yellow 8. In a pie chart, what angle does Green get?[1]
- 2.In a survey: Red 3, Blue 9, Green 10, Yellow 3. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 12, Blue 2, Green 15, Yellow 7. In a pie chart, what angle does Yellow get?[1]
- 4.In a survey: Red 12, Blue 2, Green 11, Yellow 6. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 4, Blue 15, Green 15, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 12, Blue 12, Green 7, Yellow 8. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 13, Blue 15, Green 8, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 2, Blue 2, Green 10, Yellow 14. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 10, Blue 13, Green 8, Yellow 14. In a pie chart, what angle does Yellow get?[3]
- 10.In a survey: Red 4, Blue 10, Green 10, Yellow 10. In a pie chart, what angle does Green get?[3]
- 11.In a survey: Red 3, Blue 15, Green 8, Yellow 13. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 6, Blue 9, Green 9, Yellow 6. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 102.9°
Total = 35. Green fraction = 10/35. 10/35 × 360° = 102.9°.
2. 129.6°
Total = 25. Blue fraction = 9/25. 9/25 × 360° = 129.6°.
3. 70°
Total = 36. Yellow fraction = 7/36. 7/36 × 360° = 70°.
4. 23.2°
Total = 31. Blue fraction = 2/31. 2/31 × 360° = 23.2°.
5. 29.2°
Total = 37. Yellow fraction = 3/37. 3/37 × 360° = 29.2°.
6. 73.8°
Total = 39. Yellow fraction = 8/39. 8/39 × 360° = 73.8°.
7. 51.4°
Total = 42. Yellow fraction = 6/42. 6/42 × 360° = 51.4°.
8. 180°
Total = 28. Yellow fraction = 14/28. 14/28 × 360° = 180°.
9. 112°
Total = 45. Yellow fraction = 14/45. 14/45 × 360° = 112°.
10. 105.9°
Total = 34. Green fraction = 10/34. 10/34 × 360° = 105.9°.
11. 27.7°
Total = 39. Red fraction = 3/39. 3/39 × 360° = 27.7°.
12. 108°
Total = 30. Green fraction = 9/30. 9/30 × 360° = 108°.
Worked examples
In a survey: Red 6, Blue 4, Green 8, Yellow 8. In a pie chart, what angle does Red get?
- Total = 26.
- Red fraction = 6/26.
- 6/26 × 360° = 83.1°.
- Answer: 83.1°
In a survey: Red 13, Blue 9, Green 11, Yellow 5. In a pie chart, what angle does Red get?
- Total = 38.
- Red fraction = 13/38.
- 13/38 × 360° = 123.2°.
- Answer: 123.2°
In a survey: Red 12, Blue 4, Green 7, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 32.
- Yellow fraction = 9/32.
- 9/32 × 360° = 101.3°.
- Answer: 101.3°
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
How mastery is evidenced, and which standards it maps to.
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