Free Grade 3 Tangent Ratio in Context Lesson Plans
Free Grade 3 lesson plans for Tangent Ratio in Context: 12 real questions with a full answer key and worked solutions. A ratio compares parts of a whole. To share in a ratio, add the parts, find one part, then multiply.
Free
Higher
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify tangent ratio in context
Identify tangent ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain tangent ratio in context
Explain tangent ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate tangent ratio in context
Calculate tangent ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare tangent ratio in context
Compare tangent ratio 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 Ratio in Context works
A ratio compares parts of a whole. To share in a ratio, add the parts, find one part, then multiply.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Simplify the ratio 30:30.[1]
- 2.Simplify the ratio 6:24.[1]
- 3.Simplify the ratio 16:8.[1]
- 4.Simplify the ratio 18:18.[1]
- 5.Share 72 in the ratio 5:1.[2]
- 6.Share 15 in the ratio 3:2.[2]
- 7.Share 56 in the ratio 2:6.[2]
- 8.Share 48 in the ratio 4:2.[2]
- 9.Share 63 in the ratio 5:4.[3]
- 10.Share 32 in the ratio 5:3.[3]
- 11.Share 80 in the ratio 4:4.[3]
- 12.Share 60 in the ratio 5:7.[3]
Show answers and working
1. 1:1
HCF of 30 and 30 is 30. Divide both parts by it: 1:1.
2. 1:4
HCF of 6 and 24 is 6. Divide both parts by it: 1:4.
3. 2:1
HCF of 16 and 8 is 8. Divide both parts by it: 2:1.
4. 1:1
HCF of 18 and 18 is 18. Divide both parts by it: 1:1.
5. 60 and 12
Total parts: 5 + 1 = 6. One part: 72 ÷ 6 = 12. 5 × 12 = 60, 1 × 12 = 12.
6. 9 and 6
Total parts: 3 + 2 = 5. One part: 15 ÷ 5 = 3. 3 × 3 = 9, 2 × 3 = 6.
7. 14 and 42
Total parts: 2 + 6 = 8. One part: 56 ÷ 8 = 7. 2 × 7 = 14, 6 × 7 = 42.
8. 32 and 16
Total parts: 4 + 2 = 6. One part: 48 ÷ 6 = 8. 4 × 8 = 32, 2 × 8 = 16.
9. 35 and 28
Total parts: 5 + 4 = 9. One part: 63 ÷ 9 = 7. 5 × 7 = 35, 4 × 7 = 28.
10. 20 and 12
Total parts: 5 + 3 = 8. One part: 32 ÷ 8 = 4. 5 × 4 = 20, 3 × 4 = 12.
11. 40 and 40
Total parts: 4 + 4 = 8. One part: 80 ÷ 8 = 10. 4 × 10 = 40, 4 × 10 = 40.
12. 25 and 35
Total parts: 5 + 7 = 12. One part: 60 ÷ 12 = 5. 5 × 5 = 25, 7 × 5 = 35.
Worked examples
Simplify the ratio 12:60.
- HCF of 12 and 60 is 12.
- Divide both parts by it: 1:5.
- Answer: 1:5
Share 48 in the ratio 5:3.
- Total parts: 5 + 3 = 8.
- One part: 48 ÷ 8 = 6.
- 5 × 6 = 30, 3 × 6 = 18.
- Answer: 30 and 18
Share 63 in the ratio 4:5.
- Total parts: 4 + 5 = 9.
- One part: 63 ÷ 9 = 7.
- 4 × 7 = 28, 5 × 7 = 35.
- Answer: 28 and 35
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Divides the total by the ratio numbers directly.
Correction: Add the parts first to find what one part is worth.
Writes the ratio in the wrong order.
Correction: Keep the order the question uses.
Teacher tips
- · Use bar models with equal-sized boxes for each part.
Parent tips
- · Make squash in a 1:4 ratio.
Real-life applications
- · Mixing paint or squash, scaling recipes.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Tangent Ratio 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 Tangent Ratio, Introducing Tangent Ratio, Cosine Ratio. 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 Tangent Ratio in Context?
- Move on to Sine Ratio, Cosine Ratio, Pythagoras' Theorem, Angles of Elevation, which build directly on this idea.
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