Free Grade 3 Rational Number Line in Context Lesson Plans
Free Grade 3 lesson plans for Rational Number Line 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 rational number line in context
Identify rational number line in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rational number line in context
Explain rational number line in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rational number line in context
Calculate rational number line in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rational number line in context
Compare rational number line 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 Rational Number Line 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 10:30.[1]
- 2.Simplify the ratio 30:12.[1]
- 3.Simplify the ratio 24:30.[1]
- 4.Simplify the ratio 20:8.[1]
- 5.Share 84 in the ratio 3:4.[2]
- 6.Share 21 in the ratio 1:2.[2]
- 7.Share 121 in the ratio 5:6.[2]
- 8.Share 30 in the ratio 4:6.[2]
- 9.Share 96 in the ratio 2:6.[3]
- 10.Share 21 in the ratio 2:5.[3]
- 11.Share 30 in the ratio 2:3.[3]
- 12.Share 25 in the ratio 4:1.[3]
Show answers and working
1. 1:3
HCF of 10 and 30 is 10. Divide both parts by it: 1:3.
2. 5:2
HCF of 30 and 12 is 6. Divide both parts by it: 5:2.
3. 4:5
HCF of 24 and 30 is 6. Divide both parts by it: 4:5.
4. 5:2
HCF of 20 and 8 is 4. Divide both parts by it: 5:2.
5. 36 and 48
Total parts: 3 + 4 = 7. One part: 84 ÷ 7 = 12. 3 × 12 = 36, 4 × 12 = 48.
6. 7 and 14
Total parts: 1 + 2 = 3. One part: 21 ÷ 3 = 7. 1 × 7 = 7, 2 × 7 = 14.
7. 55 and 66
Total parts: 5 + 6 = 11. One part: 121 ÷ 11 = 11. 5 × 11 = 55, 6 × 11 = 66.
8. 12 and 18
Total parts: 4 + 6 = 10. One part: 30 ÷ 10 = 3. 4 × 3 = 12, 6 × 3 = 18.
9. 24 and 72
Total parts: 2 + 6 = 8. One part: 96 ÷ 8 = 12. 2 × 12 = 24, 6 × 12 = 72.
10. 6 and 15
Total parts: 2 + 5 = 7. One part: 21 ÷ 7 = 3. 2 × 3 = 6, 5 × 3 = 15.
11. 12 and 18
Total parts: 2 + 3 = 5. One part: 30 ÷ 5 = 6. 2 × 6 = 12, 3 × 6 = 18.
12. 20 and 5
Total parts: 4 + 1 = 5. One part: 25 ÷ 5 = 5. 4 × 5 = 20, 1 × 5 = 5.
Worked examples
Simplify the ratio 20:50.
- HCF of 20 and 50 is 10.
- Divide both parts by it: 2:5.
- Answer: 2:5
Share 70 in the ratio 5:5.
- Total parts: 5 + 5 = 10.
- One part: 70 ÷ 10 = 7.
- 5 × 7 = 35, 5 × 7 = 35.
- Answer: 35 and 35
Share 18 in the ratio 1:1.
- Total parts: 1 + 1 = 2.
- One part: 18 ÷ 2 = 9.
- 1 × 9 = 9, 1 × 9 = 9.
- Answer: 9 and 9
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 Rational Number Line 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 Rational Number Line, Introducing Rational Number Line, Defining Rational 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 Rational Number Line in Context?
- Move on to Defining Rational Numbers, Operations with Rationals, which build directly on this idea.
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