Free Grade 3 Tangent Graph in Context Lessons
Free Grade 3 lessons for Tangent Graph 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify tangent graph in context
Identify tangent graph in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain tangent graph in context
Explain tangent graph in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate tangent graph in context
Calculate tangent graph in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare tangent graph in context
Compare tangent graph 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 Tangent Graph 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 8, Blue 9, Green 7, Yellow 8. In a pie chart, what angle does Blue get?[1]
- 2.In a survey: Red 11, Blue 4, Green 4, Yellow 14. In a pie chart, what angle does Green get?[1]
- 3.In a survey: Red 12, Blue 8, Green 8, Yellow 10. In a pie chart, what angle does Blue get?[1]
- 4.In a survey: Red 5, Blue 3, Green 9, Yellow 3. In a pie chart, what angle does Red get?[1]
- 5.In a survey: Red 5, Blue 7, Green 6, Yellow 9. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 15, Blue 13, Green 13, Yellow 14. In a pie chart, what angle does Yellow get?[2]
- 7.In a survey: Red 6, Blue 6, Green 7, Yellow 13. In a pie chart, what angle does Blue get?[2]
- 8.In a survey: Red 11, Blue 2, Green 7, Yellow 3. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 13, Blue 11, Green 7, Yellow 9. In a pie chart, what angle does Red get?[3]
- 10.In a survey: Red 4, Blue 10, Green 6, Yellow 7. In a pie chart, what angle does Blue get?[3]
- 11.In a survey: Red 5, Blue 3, Green 6, Yellow 11. In a pie chart, what angle does Green get?[3]
- 12.In a survey: Red 14, Blue 13, Green 10, Yellow 4. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 101.3°
Total = 32. Blue fraction = 9/32. 9/32 × 360° = 101.3°.
2. 43.6°
Total = 33. Green fraction = 4/33. 4/33 × 360° = 43.6°.
3. 75.8°
Total = 38. Blue fraction = 8/38. 8/38 × 360° = 75.8°.
4. 90°
Total = 20. Red fraction = 5/20. 5/20 × 360° = 90°.
5. 66.7°
Total = 27. Red fraction = 5/27. 5/27 × 360° = 66.7°.
6. 91.6°
Total = 55. Yellow fraction = 14/55. 14/55 × 360° = 91.6°.
7. 67.5°
Total = 32. Blue fraction = 6/32. 6/32 × 360° = 67.5°.
8. 47°
Total = 23. Yellow fraction = 3/23. 3/23 × 360° = 47°.
9. 117°
Total = 40. Red fraction = 13/40. 13/40 × 360° = 117°.
10. 133.3°
Total = 27. Blue fraction = 10/27. 10/27 × 360° = 133.3°.
11. 86.4°
Total = 25. Green fraction = 6/25. 6/25 × 360° = 86.4°.
12. 87.8°
Total = 41. Green fraction = 10/41. 10/41 × 360° = 87.8°.
Worked examples
In a survey: Red 15, Blue 5, Green 5, Yellow 12. In a pie chart, what angle does Yellow get?
- Total = 37.
- Yellow fraction = 12/37.
- 12/37 × 360° = 116.8°.
- Answer: 116.8°
In a survey: Red 11, Blue 15, Green 13, Yellow 9. In a pie chart, what angle does Yellow get?
- Total = 48.
- Yellow fraction = 9/48.
- 9/48 × 360° = 67.5°.
- Answer: 67.5°
In a survey: Red 7, Blue 14, Green 2, 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.
Every free resource for Tangent Graph in Context
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Frequently asked
- Is this Grade 3 Tangent Graph in Context lesson really free?
- Yes. Every lessons 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 Tangent Graph, Introducing Tangent Graph, Cosine Graph. Each one has its own free lesson, worksheet and quiz.
- How is the lesson 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 Tangent Graph in Context?
- Move on to Sine Graph, Cosine Graph, Trigonometric Identities, which build directly on this idea.
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