Free Grade 3 Graphical Solutions in Context Lesson Plans
Free Grade 3 lesson plans for Graphical Solutions in Context: 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
Foundation
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify graphical solutions in context
Identify graphical solutions in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain graphical solutions in context
Explain graphical solutions in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate graphical solutions in context
Calculate graphical solutions in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare graphical solutions in context
Compare graphical solutions in context 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 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 2, Blue 3, Green 14, Yellow 4. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 8, Blue 13, Green 12, Yellow 4. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 3, Blue 9, Green 12, Yellow 12. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 6, Blue 10, Green 6, Yellow 6. In a pie chart, what angle does Green get?[1]
- 5.In a survey: Red 9, Blue 8, Green 10, Yellow 3. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 2, Blue 9, Green 4, Yellow 13. In a pie chart, what angle does Green get?[2]
- 7.In a survey: Red 7, Blue 5, Green 6, Yellow 2. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 15, Blue 2, Green 4, Yellow 9. In a pie chart, what angle does Green get?[2]
- 9.In a survey: Red 3, Blue 12, Green 15, Yellow 14. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 15, Blue 5, Green 5, Yellow 8. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 11, Blue 2, Green 12, Yellow 11. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 4, Blue 6, Green 14, Yellow 13. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 47°
Total = 23. Blue fraction = 3/23. 3/23 × 360° = 47°.
2. 116.8°
Total = 37. Green fraction = 12/37. 12/37 × 360° = 116.8°.
3. 30°
Total = 36. Red fraction = 3/36. 3/36 × 360° = 30°.
4. 77.1°
Total = 28. Green fraction = 6/28. 6/28 × 360° = 77.1°.
5. 108°
Total = 30. Red fraction = 9/30. 9/30 × 360° = 108°.
6. 51.4°
Total = 28. Green fraction = 4/28. 4/28 × 360° = 51.4°.
7. 36°
Total = 20. Yellow fraction = 2/20. 2/20 × 360° = 36°.
8. 48°
Total = 30. Green fraction = 4/30. 4/30 × 360° = 48°.
9. 24.5°
Total = 44. Red fraction = 3/44. 3/44 × 360° = 24.5°.
10. 54.5°
Total = 33. Blue fraction = 5/33. 5/33 × 360° = 54.5°.
11. 110°
Total = 36. Red fraction = 11/36. 11/36 × 360° = 110°.
12. 136.2°
Total = 37. Green fraction = 14/37. 14/37 × 360° = 136.2°.
Worked examples
In a survey: Red 6, Blue 14, Green 7, Yellow 11. In a pie chart, what angle does Yellow get?
- Total = 38.
- Yellow fraction = 11/38.
- 11/38 × 360° = 104.2°.
- Answer: 104.2°
In a survey: Red 6, Blue 8, Green 2, Yellow 10. 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 2, Blue 4, Green 2, Yellow 15. In a pie chart, what angle does Yellow get?
- Total = 23.
- Yellow fraction = 15/23.
- 15/23 × 360° = 234.8°.
- Answer: 234.8°
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 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, Introducing Graphical Solutions, Substitution Method. 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?
- Move on to Elimination Method, Substitution Method, which build directly on this idea.
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