Free Grade 3 Introducing Sharing in a Ratio Lesson Plans
Free Grade 3 lesson plans for Introducing Sharing in a Ratio: 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
30 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing sharing in a ratio
Explain introducing sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing sharing in a ratio
Calculate introducing sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing sharing in a ratio
Compare introducing sharing in a ratio accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing sharing in a ratio
Justify introducing sharing in a ratio 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 Sharing in a Ratio 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 24:24.[1]
- 2.Simplify the ratio 24:12.[1]
- 3.Simplify the ratio 4:8.[1]
- 4.Simplify the ratio 32:32.[1]
- 5.Share 36 in the ratio 5:1.[2]
- 6.Share 16 in the ratio 4:4.[2]
- 7.Share 56 in the ratio 3:5.[2]
- 8.Share 100 in the ratio 5:5.[2]
- 9.Share 77 in the ratio 4:7.[3]
- 10.Share 21 in the ratio 1:2.[3]
- 11.Share 80 in the ratio 5:3.[3]
- 12.Share 54 in the ratio 3:6.[3]
Show answers and working
1. 1:1
HCF of 24 and 24 is 24. Divide both parts by it: 1:1.
2. 2:1
HCF of 24 and 12 is 12. Divide both parts by it: 2:1.
3. 1:2
HCF of 4 and 8 is 4. Divide both parts by it: 1:2.
4. 1:1
HCF of 32 and 32 is 32. Divide both parts by it: 1:1.
5. 30 and 6
Total parts: 5 + 1 = 6. One part: 36 ÷ 6 = 6. 5 × 6 = 30, 1 × 6 = 6.
6. 8 and 8
Total parts: 4 + 4 = 8. One part: 16 ÷ 8 = 2. 4 × 2 = 8, 4 × 2 = 8.
7. 21 and 35
Total parts: 3 + 5 = 8. One part: 56 ÷ 8 = 7. 3 × 7 = 21, 5 × 7 = 35.
8. 50 and 50
Total parts: 5 + 5 = 10. One part: 100 ÷ 10 = 10. 5 × 10 = 50, 5 × 10 = 50.
9. 28 and 49
Total parts: 4 + 7 = 11. One part: 77 ÷ 11 = 7. 4 × 7 = 28, 7 × 7 = 49.
10. 7 and 14
Total parts: 1 + 2 = 3. One part: 21 ÷ 3 = 7. 1 × 7 = 7, 2 × 7 = 14.
11. 50 and 30
Total parts: 5 + 3 = 8. One part: 80 ÷ 8 = 10. 5 × 10 = 50, 3 × 10 = 30.
12. 18 and 36
Total parts: 3 + 6 = 9. One part: 54 ÷ 9 = 6. 3 × 6 = 18, 6 × 6 = 36.
Worked examples
Simplify the ratio 20:10.
- HCF of 20 and 10 is 10.
- Divide both parts by it: 2:1.
- Answer: 2:1
Share 24 in the ratio 3:1.
- Total parts: 3 + 1 = 4.
- One part: 24 ÷ 4 = 6.
- 3 × 6 = 18, 1 × 6 = 6.
- Answer: 18 and 6
Share 80 in the ratio 1:7.
- Total parts: 1 + 7 = 8.
- One part: 80 ÷ 8 = 10.
- 1 × 10 = 10, 7 × 10 = 70.
- Answer: 10 and 70
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 Introducing Sharing in a Ratio 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 Simplifying Ratios. 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 Sharing in a Ratio?
- Move on to Working with Sharing in a Ratio, Sharing in a Ratio in Context, Writing Ratios, Simplifying Ratios, which build directly on this idea.
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