Free Grade 3 Cosine Ratio in Context Lesson Plans
Free Grade 3 lesson plans for Cosine 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify cosine ratio in context
Identify cosine ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain cosine ratio in context
Explain cosine ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate cosine ratio in context
Calculate cosine ratio in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare cosine ratio in context
Compare cosine 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 Cosine 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 24:36.[1]
- 2.Simplify the ratio 30:30.[1]
- 3.Simplify the ratio 12:16.[1]
- 4.Simplify the ratio 12:4.[1]
- 5.Share 32 in the ratio 2:2.[2]
- 6.Share 14 in the ratio 2:5.[2]
- 7.Share 77 in the ratio 1:6.[2]
- 8.Share 70 in the ratio 5:5.[2]
- 9.Share 20 in the ratio 5:5.[3]
- 10.Share 18 in the ratio 2:1.[3]
- 11.Share 48 in the ratio 4:4.[3]
- 12.Share 20 in the ratio 1:3.[3]
Show answers and working
1. 2:3
HCF of 24 and 36 is 12. Divide both parts by it: 2:3.
2. 1:1
HCF of 30 and 30 is 30. Divide both parts by it: 1:1.
3. 3:4
HCF of 12 and 16 is 4. Divide both parts by it: 3:4.
4. 3:1
HCF of 12 and 4 is 4. Divide both parts by it: 3:1.
5. 16 and 16
Total parts: 2 + 2 = 4. One part: 32 ÷ 4 = 8. 2 × 8 = 16, 2 × 8 = 16.
6. 4 and 10
Total parts: 2 + 5 = 7. One part: 14 ÷ 7 = 2. 2 × 2 = 4, 5 × 2 = 10.
7. 11 and 66
Total parts: 1 + 6 = 7. One part: 77 ÷ 7 = 11. 1 × 11 = 11, 6 × 11 = 66.
8. 35 and 35
Total parts: 5 + 5 = 10. One part: 70 ÷ 10 = 7. 5 × 7 = 35, 5 × 7 = 35.
9. 10 and 10
Total parts: 5 + 5 = 10. One part: 20 ÷ 10 = 2. 5 × 2 = 10, 5 × 2 = 10.
10. 12 and 6
Total parts: 2 + 1 = 3. One part: 18 ÷ 3 = 6. 2 × 6 = 12, 1 × 6 = 6.
11. 24 and 24
Total parts: 4 + 4 = 8. One part: 48 ÷ 8 = 6. 4 × 6 = 24, 4 × 6 = 24.
12. 5 and 15
Total parts: 1 + 3 = 4. One part: 20 ÷ 4 = 5. 1 × 5 = 5, 3 × 5 = 15.
Worked examples
Simplify the ratio 24:8.
- HCF of 24 and 8 is 8.
- Divide both parts by it: 3:1.
- Answer: 3:1
Share 6 in the ratio 2:1.
- Total parts: 2 + 1 = 3.
- One part: 6 ÷ 3 = 2.
- 2 × 2 = 4, 1 × 2 = 2.
- Answer: 4 and 2
Share 30 in the ratio 1:2.
- Total parts: 1 + 2 = 3.
- One part: 30 ÷ 3 = 10.
- 1 × 10 = 10, 2 × 10 = 20.
- Answer: 10 and 20
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.
Every free resource for Cosine Ratio in Context
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Frequently asked
- Is this Grade 3 Cosine 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 Cosine Ratio, Introducing Cosine Ratio, Sine 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 Cosine Ratio in Context?
- Move on to Sine Ratio, Tangent Ratio, Pythagoras' Theorem, Angles of Elevation, which build directly on this idea.
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