Free Grade 3 Introducing Rational Number Line Lesson Plans
Free Grade 3 lesson plans for Introducing 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
Core
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing rational number line
Explain introducing rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing rational number line
Calculate introducing rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing rational number line
Compare introducing rational number line accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing rational number line
Justify introducing 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 Introducing 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 6:6.[1]
- 2.Simplify the ratio 24:60.[1]
- 3.Simplify the ratio 40:40.[1]
- 4.Simplify the ratio 18:6.[1]
- 5.Share 48 in the ratio 2:6.[2]
- 6.Share 55 in the ratio 5:6.[2]
- 7.Share 18 in the ratio 2:1.[2]
- 8.Share 44 in the ratio 3:1.[2]
- 9.Share 25 in the ratio 4:1.[3]
- 10.Share 77 in the ratio 2:5.[3]
- 11.Share 24 in the ratio 1:7.[3]
- 12.Share 44 in the ratio 1:3.[3]
Show answers and working
1. 1:1
HCF of 6 and 6 is 6. Divide both parts by it: 1:1.
2. 2:5
HCF of 24 and 60 is 12. Divide both parts by it: 2:5.
3. 1:1
HCF of 40 and 40 is 40. Divide both parts by it: 1:1.
4. 3:1
HCF of 18 and 6 is 6. Divide both parts by it: 3:1.
5. 12 and 36
Total parts: 2 + 6 = 8. One part: 48 ÷ 8 = 6. 2 × 6 = 12, 6 × 6 = 36.
6. 25 and 30
Total parts: 5 + 6 = 11. One part: 55 ÷ 11 = 5. 5 × 5 = 25, 6 × 5 = 30.
7. 12 and 6
Total parts: 2 + 1 = 3. One part: 18 ÷ 3 = 6. 2 × 6 = 12, 1 × 6 = 6.
8. 33 and 11
Total parts: 3 + 1 = 4. One part: 44 ÷ 4 = 11. 3 × 11 = 33, 1 × 11 = 11.
9. 20 and 5
Total parts: 4 + 1 = 5. One part: 25 ÷ 5 = 5. 4 × 5 = 20, 1 × 5 = 5.
10. 22 and 55
Total parts: 2 + 5 = 7. One part: 77 ÷ 7 = 11. 2 × 11 = 22, 5 × 11 = 55.
11. 3 and 21
Total parts: 1 + 7 = 8. One part: 24 ÷ 8 = 3. 1 × 3 = 3, 7 × 3 = 21.
12. 11 and 33
Total parts: 1 + 3 = 4. One part: 44 ÷ 4 = 11. 1 × 11 = 11, 3 × 11 = 33.
Worked examples
Simplify the ratio 40:20.
- HCF of 40 and 20 is 20.
- Divide both parts by it: 2:1.
- Answer: 2:1
Share 80 in the ratio 4:6.
- Total parts: 4 + 6 = 10.
- One part: 80 ÷ 10 = 8.
- 4 × 8 = 32, 6 × 8 = 48.
- Answer: 32 and 48
Share 63 in the ratio 5:2.
- Total parts: 5 + 2 = 7.
- One part: 63 ÷ 7 = 9.
- 5 × 9 = 45, 2 × 9 = 18.
- Answer: 45 and 18
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 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. 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 Rational Number Line?
- Move on to Working with Rational Number Line, Rational Number Line in Context, Defining Rational Numbers, Operations with Rationals, which build directly on this idea.
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