Free Grade 3 Simplifying Ratios in Context Lesson Plans
Free Grade 3 lesson plans for Simplifying Ratios 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
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify simplifying ratios in context
Identify simplifying ratios in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain simplifying ratios in context
Explain simplifying ratios in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate simplifying ratios in context
Calculate simplifying ratios in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare simplifying ratios in context
Compare simplifying ratios 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 Simplifying Ratios 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 12:12.[1]
- 2.Simplify the ratio 16:32.[1]
- 3.Simplify the ratio 12:8.[1]
- 4.Simplify the ratio 12:6.[1]
- 5.Share 88 in the ratio 5:3.[2]
- 6.Share 6 in the ratio 1:2.[2]
- 7.Share 44 in the ratio 3:1.[2]
- 8.Share 48 in the ratio 4:2.[2]
- 9.Share 28 in the ratio 2:5.[3]
- 10.Share 72 in the ratio 3:6.[3]
- 11.Share 64 in the ratio 1:7.[3]
- 12.Share 55 in the ratio 4:1.[3]
Show answers and working
1. 1:1
HCF of 12 and 12 is 12. Divide both parts by it: 1:1.
2. 1:2
HCF of 16 and 32 is 16. Divide both parts by it: 1:2.
3. 3:2
HCF of 12 and 8 is 4. Divide both parts by it: 3:2.
4. 2:1
HCF of 12 and 6 is 6. Divide both parts by it: 2:1.
5. 55 and 33
Total parts: 5 + 3 = 8. One part: 88 ÷ 8 = 11. 5 × 11 = 55, 3 × 11 = 33.
6. 2 and 4
Total parts: 1 + 2 = 3. One part: 6 ÷ 3 = 2. 1 × 2 = 2, 2 × 2 = 4.
7. 33 and 11
Total parts: 3 + 1 = 4. One part: 44 ÷ 4 = 11. 3 × 11 = 33, 1 × 11 = 11.
8. 32 and 16
Total parts: 4 + 2 = 6. One part: 48 ÷ 6 = 8. 4 × 8 = 32, 2 × 8 = 16.
9. 8 and 20
Total parts: 2 + 5 = 7. One part: 28 ÷ 7 = 4. 2 × 4 = 8, 5 × 4 = 20.
10. 24 and 48
Total parts: 3 + 6 = 9. One part: 72 ÷ 9 = 8. 3 × 8 = 24, 6 × 8 = 48.
11. 8 and 56
Total parts: 1 + 7 = 8. One part: 64 ÷ 8 = 8. 1 × 8 = 8, 7 × 8 = 56.
12. 44 and 11
Total parts: 4 + 1 = 5. One part: 55 ÷ 5 = 11. 4 × 11 = 44, 1 × 11 = 11.
Worked examples
Simplify the ratio 50:40.
- HCF of 50 and 40 is 10.
- Divide both parts by it: 5:4.
- Answer: 5:4
Share 21 in the ratio 2:1.
- Total parts: 2 + 1 = 3.
- One part: 21 ÷ 3 = 7.
- 2 × 7 = 14, 1 × 7 = 7.
- Answer: 14 and 7
Share 20 in the ratio 1:3.
- Total parts: 1 + 3 = 4.
- One part: 20 ÷ 4 = 5.
- 1 × 5 = 5, 3 × 5 = 15.
- Answer: 5 and 15
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 Simplifying Ratios 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 Simplifying Ratios, Introducing Simplifying Ratios, Writing 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 Simplifying Ratios in Context?
- Move on to Writing Ratios, Sharing in a Ratio, Ratio Word Problems, which build directly on this idea.
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