Free Grade 3 Working with Writing Ratios Lesson Plans
Free Grade 3 lesson plans for Working with Writing Ratios: 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
Core
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain working with writing ratios
Explain working with writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate working with writing ratios
Calculate working with writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare working with writing ratios
Compare working with writing ratios accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify working with writing ratios
Justify working with writing ratios 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 Working with Writing Ratios 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 36:36.[1]
- 2.Simplify the ratio 18:24.[1]
- 3.Simplify the ratio 30:30.[1]
- 4.Simplify the ratio 16:40.[1]
- 5.Share 81 in the ratio 5:4.[2]
- 6.Share 32 in the ratio 2:6.[2]
- 7.Share 54 in the ratio 5:4.[2]
- 8.Share 12 in the ratio 1:5.[2]
- 9.Share 20 in the ratio 4:1.[3]
- 10.Share 77 in the ratio 4:7.[3]
- 11.Share 77 in the ratio 1:6.[3]
- 12.Share 45 in the ratio 3:2.[3]
Show answers and working
1. 1:1
HCF of 36 and 36 is 36. Divide both parts by it: 1:1.
2. 3:4
HCF of 18 and 24 is 6. Divide both parts by it: 3:4.
3. 1:1
HCF of 30 and 30 is 30. Divide both parts by it: 1:1.
4. 2:5
HCF of 16 and 40 is 8. Divide both parts by it: 2:5.
5. 45 and 36
Total parts: 5 + 4 = 9. One part: 81 ÷ 9 = 9. 5 × 9 = 45, 4 × 9 = 36.
6. 8 and 24
Total parts: 2 + 6 = 8. One part: 32 ÷ 8 = 4. 2 × 4 = 8, 6 × 4 = 24.
7. 30 and 24
Total parts: 5 + 4 = 9. One part: 54 ÷ 9 = 6. 5 × 6 = 30, 4 × 6 = 24.
8. 2 and 10
Total parts: 1 + 5 = 6. One part: 12 ÷ 6 = 2. 1 × 2 = 2, 5 × 2 = 10.
9. 16 and 4
Total parts: 4 + 1 = 5. One part: 20 ÷ 5 = 4. 4 × 4 = 16, 1 × 4 = 4.
10. 28 and 49
Total parts: 4 + 7 = 11. One part: 77 ÷ 11 = 7. 4 × 7 = 28, 7 × 7 = 49.
11. 11 and 66
Total parts: 1 + 6 = 7. One part: 77 ÷ 7 = 11. 1 × 11 = 11, 6 × 11 = 66.
12. 27 and 18
Total parts: 3 + 2 = 5. One part: 45 ÷ 5 = 9. 3 × 9 = 27, 2 × 9 = 18.
Worked examples
Simplify the ratio 12:8.
- HCF of 12 and 8 is 4.
- Divide both parts by it: 3:2.
- Answer: 3:2
Share 60 in the ratio 3:2.
- Total parts: 3 + 2 = 5.
- One part: 60 ÷ 5 = 12.
- 3 × 12 = 36, 2 × 12 = 24.
- Answer: 36 and 24
Share 30 in the ratio 3:7.
- Total parts: 3 + 7 = 10.
- One part: 30 ÷ 10 = 3.
- 3 × 3 = 9, 7 × 3 = 21.
- Answer: 9 and 21
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 Working with Writing Ratios
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Frequently asked
- Is this Grade 3 Working with Writing Ratios 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 Introducing Writing Ratios, Complex Numbers. 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 Working with Writing Ratios?
- Move on to Writing Ratios in Context, Simplifying Ratios, Sharing in a Ratio, Ratio Word Problems, which build directly on this idea.
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