Free Grade 3 Introducing Defining Rational Numbers Lesson Plans
Free Grade 3 lesson plans for Introducing Defining Rational Numbers: 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
Stretch
25 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing defining rational numbers
Explain introducing defining rational numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing defining rational numbers
Calculate introducing defining rational numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing defining rational numbers
Compare introducing defining rational numbers accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing defining rational numbers
Justify introducing defining rational numbers 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 Defining Rational Numbers 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 60:12.[1]
- 2.Simplify the ratio 48:60.[1]
- 3.Simplify the ratio 8:8.[1]
- 4.Simplify the ratio 40:40.[1]
- 5.Share 63 in the ratio 4:5.[2]
- 6.Share 77 in the ratio 5:2.[2]
- 7.Share 24 in the ratio 5:1.[2]
- 8.Share 81 in the ratio 3:6.[2]
- 9.Share 15 in the ratio 3:2.[3]
- 10.Share 24 in the ratio 4:4.[3]
- 11.Share 88 in the ratio 4:4.[3]
- 12.Share 35 in the ratio 5:2.[3]
Show answers and working
1. 5:1
HCF of 60 and 12 is 12. Divide both parts by it: 5:1.
2. 4:5
HCF of 48 and 60 is 12. Divide both parts by it: 4:5.
3. 1:1
HCF of 8 and 8 is 8. Divide both parts by it: 1:1.
4. 1:1
HCF of 40 and 40 is 40. Divide both parts by it: 1:1.
5. 28 and 35
Total parts: 4 + 5 = 9. One part: 63 ÷ 9 = 7. 4 × 7 = 28, 5 × 7 = 35.
6. 55 and 22
Total parts: 5 + 2 = 7. One part: 77 ÷ 7 = 11. 5 × 11 = 55, 2 × 11 = 22.
7. 20 and 4
Total parts: 5 + 1 = 6. One part: 24 ÷ 6 = 4. 5 × 4 = 20, 1 × 4 = 4.
8. 27 and 54
Total parts: 3 + 6 = 9. One part: 81 ÷ 9 = 9. 3 × 9 = 27, 6 × 9 = 54.
9. 9 and 6
Total parts: 3 + 2 = 5. One part: 15 ÷ 5 = 3. 3 × 3 = 9, 2 × 3 = 6.
10. 12 and 12
Total parts: 4 + 4 = 8. One part: 24 ÷ 8 = 3. 4 × 3 = 12, 4 × 3 = 12.
11. 44 and 44
Total parts: 4 + 4 = 8. One part: 88 ÷ 8 = 11. 4 × 11 = 44, 4 × 11 = 44.
12. 25 and 10
Total parts: 5 + 2 = 7. One part: 35 ÷ 7 = 5. 5 × 5 = 25, 2 × 5 = 10.
Worked examples
Simplify the ratio 20:10.
- HCF of 20 and 10 is 10.
- Divide both parts by it: 2:1.
- Answer: 2:1
Share 40 in the ratio 4:4.
- Total parts: 4 + 4 = 8.
- One part: 40 ÷ 8 = 5.
- 4 × 5 = 20, 4 × 5 = 20.
- Answer: 20 and 20
Share 30 in the ratio 1:4.
- Total parts: 1 + 4 = 5.
- One part: 30 ÷ 5 = 6.
- 1 × 6 = 6, 4 × 6 = 24.
- Answer: 6 and 24
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 Defining Rational Numbers 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 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 Introducing Defining Rational Numbers?
- Move on to Working with Defining Rational Numbers, Defining Rational Numbers in Context, Rational Number Line, Operations with Rationals, which build directly on this idea.
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