Free Grade 3 Working with Sampling in Context Common Errors: Common Mistakes Lesson Plans
Free Grade 3 lesson plans for Working with Sampling in Context Common Errors: 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 sampling in context common errors: common mistakes
Explain working with sampling in context common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with sampling in context common errors: common mistakes
Calculate working with sampling in context common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with sampling in context common errors: common mistakes
Compare working with sampling in context common errors: common mistakes accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with sampling in context common errors: common mistakes
Justify working with sampling in context common errors: 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 Sampling in Context Common Errors: 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 3, Blue 14, Green 7, Yellow 7. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 13, Blue 3, Green 15, Yellow 5. In a pie chart, what angle does Blue get?[1]
- 3.In a survey: Red 12, Blue 8, Green 12, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 15, Blue 2, Green 14, Yellow 15. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 12, Blue 2, Green 13, Yellow 8. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 13, Blue 7, Green 11, Yellow 6. In a pie chart, what angle does Blue get?[2]
- 7.In a survey: Red 13, Blue 5, Green 4, Yellow 10. In a pie chart, what angle does Green get?[2]
- 8.In a survey: Red 11, Blue 12, Green 10, Yellow 7. In a pie chart, what angle does Blue get?[2]
- 9.In a survey: Red 14, Blue 9, Green 7, Yellow 9. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 3, Blue 15, Green 14, Yellow 3. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 10, Blue 10, Green 7, Yellow 8. In a pie chart, what angle does Yellow get?[3]
- 12.In a survey: Red 11, Blue 5, Green 3, Yellow 4. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 34.8°
Total = 31. Red fraction = 3/31. 3/31 × 360° = 34.8°.
2. 30°
Total = 36. Blue fraction = 3/36. 3/36 × 360° = 30°.
3. 72°
Total = 40. Blue fraction = 8/40. 8/40 × 360° = 72°.
4. 117.4°
Total = 46. Red fraction = 15/46. 15/46 × 360° = 117.4°.
5. 123.4°
Total = 35. Red fraction = 12/35. 12/35 × 360° = 123.4°.
6. 68.1°
Total = 37. Blue fraction = 7/37. 7/37 × 360° = 68.1°.
7. 45°
Total = 32. Green fraction = 4/32. 4/32 × 360° = 45°.
8. 108°
Total = 40. Blue fraction = 12/40. 12/40 × 360° = 108°.
9. 83.1°
Total = 39. Blue fraction = 9/39. 9/39 × 360° = 83.1°.
10. 30.9°
Total = 35. Yellow fraction = 3/35. 3/35 × 360° = 30.9°.
11. 82.3°
Total = 35. Yellow fraction = 8/35. 8/35 × 360° = 82.3°.
12. 47°
Total = 23. Green fraction = 3/23. 3/23 × 360° = 47°.
Worked examples
In a survey: Red 4, Blue 12, Green 11, Yellow 6. In a pie chart, what angle does Blue get?
- Total = 33.
- Blue fraction = 12/33.
- 12/33 × 360° = 130.9°.
- Answer: 130.9°
In a survey: Red 9, Blue 5, Green 5, Yellow 3. In a pie chart, what angle does Red get?
- Total = 22.
- Red fraction = 9/22.
- 9/22 × 360° = 147.3°.
- Answer: 147.3°
In a survey: Red 3, Blue 7, Green 2, Yellow 8. In a pie chart, what angle does Yellow get?
- Total = 20.
- Yellow fraction = 8/20.
- 8/20 × 360° = 144°.
- Answer: 144°
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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