Free Grade 3 Rational Number Line Lesson Plans
Free Grade 3 lesson plans for Rational Number Line: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify rational number line
Identify rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain rational number line
Explain rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate rational number line
Calculate rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare rational number line
Compare rational number line 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 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 36:24.[1]
- 2.Simplify the ratio 60:48.[1]
- 3.Simplify the ratio 32:32.[1]
- 4.Simplify the ratio 10:20.[1]
- 5.Share 15 in the ratio 3:2.[2]
- 6.Share 15 in the ratio 1:2.[2]
- 7.Share 28 in the ratio 2:2.[2]
- 8.Share 54 in the ratio 1:5.[2]
- 9.Share 32 in the ratio 4:4.[3]
- 10.Share 18 in the ratio 1:5.[3]
- 11.Share 35 in the ratio 2:3.[3]
- 12.Share 45 in the ratio 2:7.[3]
Show answers and working
1. 3:2
HCF of 36 and 24 is 12. Divide both parts by it: 3:2.
2. 5:4
HCF of 60 and 48 is 12. Divide both parts by it: 5:4.
3. 1:1
HCF of 32 and 32 is 32. Divide both parts by it: 1:1.
4. 1:2
HCF of 10 and 20 is 10. Divide both parts by it: 1:2.
5. 9 and 6
Total parts: 3 + 2 = 5. One part: 15 ÷ 5 = 3. 3 × 3 = 9, 2 × 3 = 6.
6. 5 and 10
Total parts: 1 + 2 = 3. One part: 15 ÷ 3 = 5. 1 × 5 = 5, 2 × 5 = 10.
7. 14 and 14
Total parts: 2 + 2 = 4. One part: 28 ÷ 4 = 7. 2 × 7 = 14, 2 × 7 = 14.
8. 9 and 45
Total parts: 1 + 5 = 6. One part: 54 ÷ 6 = 9. 1 × 9 = 9, 5 × 9 = 45.
9. 16 and 16
Total parts: 4 + 4 = 8. One part: 32 ÷ 8 = 4. 4 × 4 = 16, 4 × 4 = 16.
10. 3 and 15
Total parts: 1 + 5 = 6. One part: 18 ÷ 6 = 3. 1 × 3 = 3, 5 × 3 = 15.
11. 14 and 21
Total parts: 2 + 3 = 5. One part: 35 ÷ 5 = 7. 2 × 7 = 14, 3 × 7 = 21.
12. 10 and 35
Total parts: 2 + 7 = 9. One part: 45 ÷ 9 = 5. 2 × 5 = 10, 7 × 5 = 35.
Worked examples
Simplify the ratio 24:16.
- HCF of 24 and 16 is 8.
- Divide both parts by it: 3:2.
- Answer: 3:2
Share 24 in the ratio 2:4.
- Total parts: 2 + 4 = 6.
- One part: 24 ÷ 6 = 4.
- 2 × 4 = 8, 4 × 4 = 16.
- Answer: 8 and 16
Share 9 in the ratio 2:1.
- Total parts: 2 + 1 = 3.
- One part: 9 ÷ 3 = 3.
- 2 × 3 = 6, 1 × 3 = 3.
- Answer: 6 and 3
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 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 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 Rational Number Line?
- Move on to Operations with Rationals, Whole Numbers, Counting, Number Recognition, which build directly on this idea.
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