Free Grade 3 Introducing Determinants Common Errors Lesson Plans
Free Grade 3 lesson plans for Introducing Determinants Common Errors: 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
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify introducing determinants common errors
Identify introducing determinants common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain introducing determinants common errors
Explain introducing determinants common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing determinants common errors
Calculate introducing determinants common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing determinants common errors
Compare introducing determinants common errors 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 Determinants Common Errors 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 8:16.[1]
- 2.Simplify the ratio 30:18.[1]
- 3.Simplify the ratio 8:20.[1]
- 4.Simplify the ratio 24:30.[1]
- 5.Share 12 in the ratio 1:2.[2]
- 6.Share 24 in the ratio 3:5.[2]
- 7.Share 10 in the ratio 4:1.[2]
- 8.Share 72 in the ratio 2:4.[2]
- 9.Share 48 in the ratio 3:3.[3]
- 10.Share 100 in the ratio 4:6.[3]
- 11.Share 15 in the ratio 2:1.[3]
- 12.Share 77 in the ratio 4:3.[3]
Show answers and working
1. 1:2
HCF of 8 and 16 is 8. Divide both parts by it: 1:2.
2. 5:3
HCF of 30 and 18 is 6. Divide both parts by it: 5:3.
3. 2:5
HCF of 8 and 20 is 4. Divide both parts by it: 2:5.
4. 4:5
HCF of 24 and 30 is 6. Divide both parts by it: 4:5.
5. 4 and 8
Total parts: 1 + 2 = 3. One part: 12 ÷ 3 = 4. 1 × 4 = 4, 2 × 4 = 8.
6. 9 and 15
Total parts: 3 + 5 = 8. One part: 24 ÷ 8 = 3. 3 × 3 = 9, 5 × 3 = 15.
7. 8 and 2
Total parts: 4 + 1 = 5. One part: 10 ÷ 5 = 2. 4 × 2 = 8, 1 × 2 = 2.
8. 24 and 48
Total parts: 2 + 4 = 6. One part: 72 ÷ 6 = 12. 2 × 12 = 24, 4 × 12 = 48.
9. 24 and 24
Total parts: 3 + 3 = 6. One part: 48 ÷ 6 = 8. 3 × 8 = 24, 3 × 8 = 24.
10. 40 and 60
Total parts: 4 + 6 = 10. One part: 100 ÷ 10 = 10. 4 × 10 = 40, 6 × 10 = 60.
11. 10 and 5
Total parts: 2 + 1 = 3. One part: 15 ÷ 3 = 5. 2 × 5 = 10, 1 × 5 = 5.
12. 44 and 33
Total parts: 4 + 3 = 7. One part: 77 ÷ 7 = 11. 4 × 11 = 44, 3 × 11 = 33.
Worked examples
Simplify the ratio 36:24.
- HCF of 36 and 24 is 12.
- Divide both parts by it: 3:2.
- Answer: 3:2
Share 21 in the ratio 2:1.
- Total parts: 2 + 1 = 3.
- One part: 21 ÷ 3 = 7.
- 2 × 7 = 14, 1 × 7 = 7.
- Answer: 14 and 7
Share 10 in the ratio 1:1.
- Total parts: 1 + 1 = 2.
- One part: 10 ÷ 2 = 5.
- 1 × 5 = 5, 1 × 5 = 5.
- Answer: 5 and 5
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 Determinants Common Errors 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 Introducing Determinants Word Problems, Introducing Determinants Techniques, Identity Matrix. 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 Determinants Common Errors?
- Move on to Working with Determinants, Determinants in Context, which build directly on this idea.
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