Free Grade 3 Matrix Operations Lesson Plans
Free Grade 3 lesson plans for Matrix Operations: 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
20 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain matrix operations
Explain matrix operations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate matrix operations
Calculate matrix operations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare matrix operations
Compare matrix operations accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify matrix operations
Justify matrix operations 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 Matrix Operations 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 32:40.[1]
- 2.Simplify the ratio 24:24.[1]
- 3.Simplify the ratio 48:48.[1]
- 4.Simplify the ratio 24:60.[1]
- 5.Share 12 in the ratio 1:3.[2]
- 6.Share 48 in the ratio 5:1.[2]
- 7.Share 48 in the ratio 1:3.[2]
- 8.Share 45 in the ratio 4:5.[2]
- 9.Share 42 in the ratio 4:2.[3]
- 10.Share 55 in the ratio 2:3.[3]
- 11.Share 12 in the ratio 3:3.[3]
- 12.Share 12 in the ratio 2:2.[3]
Show answers and working
1. 4:5
HCF of 32 and 40 is 8. Divide both parts by it: 4:5.
2. 1:1
HCF of 24 and 24 is 24. Divide both parts by it: 1:1.
3. 1:1
HCF of 48 and 48 is 48. Divide both parts by it: 1:1.
4. 2:5
HCF of 24 and 60 is 12. Divide both parts by it: 2:5.
5. 3 and 9
Total parts: 1 + 3 = 4. One part: 12 ÷ 4 = 3. 1 × 3 = 3, 3 × 3 = 9.
6. 40 and 8
Total parts: 5 + 1 = 6. One part: 48 ÷ 6 = 8. 5 × 8 = 40, 1 × 8 = 8.
7. 12 and 36
Total parts: 1 + 3 = 4. One part: 48 ÷ 4 = 12. 1 × 12 = 12, 3 × 12 = 36.
8. 20 and 25
Total parts: 4 + 5 = 9. One part: 45 ÷ 9 = 5. 4 × 5 = 20, 5 × 5 = 25.
9. 28 and 14
Total parts: 4 + 2 = 6. One part: 42 ÷ 6 = 7. 4 × 7 = 28, 2 × 7 = 14.
10. 22 and 33
Total parts: 2 + 3 = 5. One part: 55 ÷ 5 = 11. 2 × 11 = 22, 3 × 11 = 33.
11. 6 and 6
Total parts: 3 + 3 = 6. One part: 12 ÷ 6 = 2. 3 × 2 = 6, 3 × 2 = 6.
12. 6 and 6
Total parts: 2 + 2 = 4. One part: 12 ÷ 4 = 3. 2 × 3 = 6, 2 × 3 = 6.
Worked examples
Simplify the ratio 30:18.
- HCF of 30 and 18 is 6.
- Divide both parts by it: 5:3.
- Answer: 5:3
Share 50 in the ratio 1:4.
- Total parts: 1 + 4 = 5.
- One part: 50 ÷ 5 = 10.
- 1 × 10 = 10, 4 × 10 = 40.
- Answer: 10 and 40
Share 30 in the ratio 3:7.
- Total parts: 3 + 7 = 10.
- One part: 30 ÷ 10 = 3.
- 3 × 3 = 9, 7 × 3 = 21.
- Answer: 9 and 21
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 Matrix Operations 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 Vectors. 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 Matrix Operations?
- Move on to Number Sense, Algebra, Geometry, Measurement, which build directly on this idea.
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