Free Grade 3 Defining Rational Numbers in Context Lesson Plans
Free Grade 3 lesson plans for Defining Rational Numbers 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
Foundation
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify defining rational numbers in context
Identify defining rational numbers in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain defining rational numbers in context
Explain defining rational numbers in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate defining rational numbers in context
Calculate defining rational numbers in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare defining rational numbers in context
Compare defining rational numbers 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 Defining Rational Numbers 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 10:10.[1]
- 2.Simplify the ratio 12:8.[1]
- 3.Simplify the ratio 20:30.[1]
- 4.Simplify the ratio 12:60.[1]
- 5.Share 108 in the ratio 3:6.[2]
- 6.Share 24 in the ratio 2:4.[2]
- 7.Share 12 in the ratio 1:1.[2]
- 8.Share 30 in the ratio 3:3.[2]
- 9.Share 8 in the ratio 2:2.[3]
- 10.Share 22 in the ratio 4:7.[3]
- 11.Share 24 in the ratio 3:5.[3]
- 12.Share 30 in the ratio 2:3.[3]
Show answers and working
1. 1:1
HCF of 10 and 10 is 10. Divide both parts by it: 1:1.
2. 3:2
HCF of 12 and 8 is 4. Divide both parts by it: 3:2.
3. 2:3
HCF of 20 and 30 is 10. Divide both parts by it: 2:3.
4. 1:5
HCF of 12 and 60 is 12. Divide both parts by it: 1:5.
5. 36 and 72
Total parts: 3 + 6 = 9. One part: 108 ÷ 9 = 12. 3 × 12 = 36, 6 × 12 = 72.
6. 8 and 16
Total parts: 2 + 4 = 6. One part: 24 ÷ 6 = 4. 2 × 4 = 8, 4 × 4 = 16.
7. 6 and 6
Total parts: 1 + 1 = 2. One part: 12 ÷ 2 = 6. 1 × 6 = 6, 1 × 6 = 6.
8. 15 and 15
Total parts: 3 + 3 = 6. One part: 30 ÷ 6 = 5. 3 × 5 = 15, 3 × 5 = 15.
9. 4 and 4
Total parts: 2 + 2 = 4. One part: 8 ÷ 4 = 2. 2 × 2 = 4, 2 × 2 = 4.
10. 8 and 14
Total parts: 4 + 7 = 11. One part: 22 ÷ 11 = 2. 4 × 2 = 8, 7 × 2 = 14.
11. 9 and 15
Total parts: 3 + 5 = 8. One part: 24 ÷ 8 = 3. 3 × 3 = 9, 5 × 3 = 15.
12. 12 and 18
Total parts: 2 + 3 = 5. One part: 30 ÷ 5 = 6. 2 × 6 = 12, 3 × 6 = 18.
Worked examples
Simplify the ratio 18:24.
- HCF of 18 and 24 is 6.
- Divide both parts by it: 3:4.
- Answer: 3:4
Share 30 in the ratio 2:4.
- Total parts: 2 + 4 = 6.
- One part: 30 ÷ 6 = 5.
- 2 × 5 = 10, 4 × 5 = 20.
- Answer: 10 and 20
Share 66 in the ratio 4:2.
- Total parts: 4 + 2 = 6.
- One part: 66 ÷ 6 = 11.
- 4 × 11 = 44, 2 × 11 = 22.
- Answer: 44 and 22
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 Defining Rational Numbers 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 Defining Rational Numbers, Introducing Defining Rational Numbers, Percentages. 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 Defining Rational Numbers in Context?
- Move on to Rational Number Line, Operations with Rationals, which build directly on this idea.
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