Free Grade 3 Graphical Solutions in Context Essentials Lesson Plans
Free Grade 3 lesson plans for Graphical Solutions in Context Essentials: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain graphical solutions in context essentials
Explain graphical solutions in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate graphical solutions in context essentials
Calculate graphical solutions in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare graphical solutions in context essentials
Compare graphical solutions in context essentials accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify graphical solutions in context essentials
Justify graphical solutions in context essentials 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 Graphical Solutions in Context Essentials 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 14, Blue 14, Green 12, Yellow 12. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 6, Blue 11, Green 14, Yellow 7. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 9, Blue 7, Green 6, Yellow 11. In a pie chart, what angle does Green get?[1]
- 4.In a survey: Red 7, Blue 7, Green 15, Yellow 5. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 9, Blue 14, Green 9, Yellow 7. In a pie chart, what angle does Yellow get?[2]
- 6.In a survey: Red 3, Blue 7, Green 15, Yellow 14. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 5, Blue 14, Green 3, Yellow 4. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 4, Blue 15, Green 8, Yellow 5. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 12, Blue 2, Green 4, Yellow 6. In a pie chart, what angle does Green get?[3]
- 10.In a survey: Red 11, Blue 2, Green 6, Yellow 6. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 8, Blue 14, Green 4, Yellow 2. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 7, Blue 10, Green 3, Yellow 15. In a pie chart, what angle does Yellow get?[3]
Show answers and working
1. 96.9°
Total = 52. Red fraction = 14/52. 14/52 × 360° = 96.9°.
2. 132.6°
Total = 38. Green fraction = 14/38. 14/38 × 360° = 132.6°.
3. 65.5°
Total = 33. Green fraction = 6/33. 6/33 × 360° = 65.5°.
4. 74.1°
Total = 34. Red fraction = 7/34. 7/34 × 360° = 74.1°.
5. 64.6°
Total = 39. Yellow fraction = 7/39. 7/39 × 360° = 64.6°.
6. 27.7°
Total = 39. Red fraction = 3/39. 3/39 × 360° = 27.7°.
7. 193.8°
Total = 26. Blue fraction = 14/26. 14/26 × 360° = 193.8°.
8. 56.3°
Total = 32. Yellow fraction = 5/32. 5/32 × 360° = 56.3°.
9. 60°
Total = 24. Green fraction = 4/24. 4/24 × 360° = 60°.
10. 86.4°
Total = 25. Yellow fraction = 6/25. 6/25 × 360° = 86.4°.
11. 51.4°
Total = 28. Green fraction = 4/28. 4/28 × 360° = 51.4°.
12. 154.3°
Total = 35. Yellow fraction = 15/35. 15/35 × 360° = 154.3°.
Worked examples
In a survey: Red 8, Blue 14, Green 4, Yellow 10. In a pie chart, what angle does Yellow get?
- Total = 36.
- Yellow fraction = 10/36.
- 10/36 × 360° = 100°.
- Answer: 100°
In a survey: Red 4, Blue 12, Green 13, Yellow 4. In a pie chart, what angle does Green get?
- Total = 33.
- Green fraction = 13/33.
- 13/33 × 360° = 141.8°.
- Answer: 141.8°
In a survey: Red 4, Blue 13, Green 4, Yellow 4. In a pie chart, what angle does Red get?
- Total = 25.
- Red fraction = 4/25.
- 4/25 × 360° = 57.6°.
- Answer: 57.6°
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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Frequently asked
- Is this Grade 3 Graphical Solutions in Context Essentials lesson plan really free?
- Yes. Every lesson plans on FreeMathWorksheet is free to use, print and share — no account, no paywall and no watermark.
- What should a learner already know before this?
- Start with Working with Graphical Solutions. Each one has its own free lesson, worksheet and quiz.
- How is the lesson plan sequenced?
- Recognition first, then understanding, application, reasoning and finally mastery — the same ladder used across every free resource on the platform.
- What comes next after Graphical Solutions in Context Essentials?
- Move on to Graphical Solutions in Context Techniques, Graphical Solutions in Context Word Problems, Graphical Solutions in Context Common Errors, Introducing Graphical Solutions, which build directly on this idea.
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