Free Grade 3 Introducing Tangent Graph Lesson Plans
Free Grade 3 lesson plans for Introducing Tangent Graph: 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
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing tangent graph
Explain introducing tangent graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing tangent graph
Calculate introducing tangent graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing tangent graph
Compare introducing tangent graph accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing tangent graph
Justify introducing tangent graph 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 Introducing Tangent Graph 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 4, Blue 3, Green 8, Yellow 10. In a pie chart, what angle does Red get?[1]
- 2.In a survey: Red 11, Blue 11, Green 3, Yellow 8. In a pie chart, what angle does Yellow get?[1]
- 3.In a survey: Red 7, Blue 5, Green 6, Yellow 6. In a pie chart, what angle does Red get?[1]
- 4.In a survey: Red 2, Blue 8, Green 12, Yellow 12. In a pie chart, what angle does Blue get?[1]
- 5.In a survey: Red 4, Blue 15, Green 6, Yellow 11. In a pie chart, what angle does Red get?[2]
- 6.In a survey: Red 11, Blue 10, Green 4, Yellow 4. In a pie chart, what angle does Red get?[2]
- 7.In a survey: Red 12, Blue 9, Green 8, Yellow 6. In a pie chart, what angle does Yellow get?[2]
- 8.In a survey: Red 8, Blue 13, Green 7, Yellow 15. In a pie chart, what angle does Yellow get?[2]
- 9.In a survey: Red 13, Blue 2, Green 13, Yellow 10. In a pie chart, what angle does Blue get?[3]
- 10.In a survey: Red 11, Blue 14, Green 7, Yellow 5. In a pie chart, what angle does Yellow get?[3]
- 11.In a survey: Red 9, Blue 2, Green 10, Yellow 10. In a pie chart, what angle does Red get?[3]
- 12.In a survey: Red 9, Blue 14, Green 13, Yellow 7. In a pie chart, what angle does Green get?[3]
Show answers and working
1. 57.6°
Total = 25. Red fraction = 4/25. 4/25 × 360° = 57.6°.
2. 87.3°
Total = 33. Yellow fraction = 8/33. 8/33 × 360° = 87.3°.
3. 105°
Total = 24. Red fraction = 7/24. 7/24 × 360° = 105°.
4. 84.7°
Total = 34. Blue fraction = 8/34. 8/34 × 360° = 84.7°.
5. 40°
Total = 36. Red fraction = 4/36. 4/36 × 360° = 40°.
6. 136.6°
Total = 29. Red fraction = 11/29. 11/29 × 360° = 136.6°.
7. 61.7°
Total = 35. Yellow fraction = 6/35. 6/35 × 360° = 61.7°.
8. 125.6°
Total = 43. Yellow fraction = 15/43. 15/43 × 360° = 125.6°.
9. 18.9°
Total = 38. Blue fraction = 2/38. 2/38 × 360° = 18.9°.
10. 48.6°
Total = 37. Yellow fraction = 5/37. 5/37 × 360° = 48.6°.
11. 104.5°
Total = 31. Red fraction = 9/31. 9/31 × 360° = 104.5°.
12. 108.8°
Total = 43. Green fraction = 13/43. 13/43 × 360° = 108.8°.
Worked examples
In a survey: Red 12, Blue 7, Green 8, Yellow 6. In a pie chart, what angle does Yellow get?
- Total = 33.
- Yellow fraction = 6/33.
- 6/33 × 360° = 65.5°.
- Answer: 65.5°
In a survey: Red 8, Blue 10, Green 3, Yellow 10. In a pie chart, what angle does Green get?
- Total = 31.
- Green fraction = 3/31.
- 3/31 × 360° = 34.8°.
- Answer: 34.8°
In a survey: Red 11, Blue 7, Green 8, Yellow 8. In a pie chart, what angle does Blue get?
- Total = 34.
- Blue fraction = 7/34.
- 7/34 × 360° = 74.1°.
- Answer: 74.1°
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 Introducing Tangent Graph 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 Cosine Graph. 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 Introducing Tangent Graph?
- Move on to Working with Tangent Graph, Tangent Graph in Context, Sine Graph, Cosine Graph, which build directly on this idea.
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