Free Grade 3 Introducing Equivalent Fractions Common Errors Lesson Plans
Free Grade 3 lesson plans for Introducing Equivalent Fractions Common Errors: 12 real questions with a full answer key and worked solutions. Equivalent fractions name the same amount using different numbers. Multiply or divide the numerator and denominator by the same number and the value doesn't change.
Free
Stretch
15 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- UnderstandExplain introducing equivalent fractions common errors
Explain introducing equivalent fractions common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate introducing equivalent fractions common errors
Calculate introducing equivalent fractions common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare introducing equivalent fractions common errors
Compare introducing equivalent fractions common errors accurately in a familiar context.
Assessed by: Exit ticket of four short items
- EvaluateJustify introducing equivalent fractions common errors
Justify introducing equivalent fractions 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 Equivalent Fractions Common Errors works
Equivalent fractions name the same amount using different numbers. Multiply or divide the numerator and denominator by the same number and the value doesn't change.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Write a fraction equivalent to 4/5 with denominator 10.[1]
- 2.Write a fraction equivalent to 2/4 with denominator 16.[1]
- 3.Write a fraction equivalent to 1/2 with denominator 8.[1]
- 4.Write a fraction equivalent to 2/3 with denominator 12.[1]
- 5.Write a fraction equivalent to 1/2 with denominator 6.[2]
- 6.Write a fraction equivalent to 4/8 with denominator 48.[2]
- 7.Write a fraction equivalent to 1/6 with denominator 30.[2]
- 8.Write a fraction equivalent to 6/9 with denominator 18.[2]
- 9.Find the missing number: 5/10 = ?/60[3]
- 10.Find the missing number: 9/11 = ?/66[3]
- 11.Find the missing number: 7/11 = ?/99[3]
- 12.Find the missing number: 1/2 = ?/16[3]
Show answers and working
1. 8/10
10 ÷ 5 = 2. Multiply top and bottom by 2: 4×2 / 5×2. = 8/10
2. 8/16
16 ÷ 4 = 4. Multiply top and bottom by 4: 2×4 / 4×4. = 8/16
3. 4/8
8 ÷ 2 = 4. Multiply top and bottom by 4: 1×4 / 2×4. = 4/8
4. 8/12
12 ÷ 3 = 4. Multiply top and bottom by 4: 2×4 / 3×4. = 8/12
5. 3/6
6 ÷ 2 = 3. Multiply top and bottom by 3: 1×3 / 2×3. = 3/6
6. 24/48
48 ÷ 8 = 6. Multiply top and bottom by 6: 4×6 / 8×6. = 24/48
7. 5/30
30 ÷ 6 = 5. Multiply top and bottom by 5: 1×5 / 6×5. = 5/30
8. 12/18
18 ÷ 9 = 2. Multiply top and bottom by 2: 6×2 / 9×2. = 12/18
9. 30
10 × 6 = 60, so the denominator was multiplied by 6. Do the same to the numerator: 5 × 6 = 30.
10. 54
11 × 6 = 66, so the denominator was multiplied by 6. Do the same to the numerator: 9 × 6 = 54.
11. 63
11 × 9 = 99, so the denominator was multiplied by 9. Do the same to the numerator: 7 × 9 = 63.
12. 8
2 × 8 = 16, so the denominator was multiplied by 8. Do the same to the numerator: 1 × 8 = 8.
Worked examples
Write a fraction equivalent to 3/4 with denominator 16.
- 16 ÷ 4 = 4.
- Multiply top and bottom by 4: 3×4 / 4×4.
- = 12/16
- Answer: 12/16
Write a fraction equivalent to 3/5 with denominator 20.
- 20 ÷ 5 = 4.
- Multiply top and bottom by 4: 3×4 / 5×4.
- = 12/20
- Answer: 12/20
Find the missing number: 6/12 = ?/24
- 12 × 2 = 24, so the denominator was multiplied by 2.
- Do the same to the numerator: 6 × 2 = 12.
- Answer: 12
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Adds the same number to top and bottom (1/2 → 2/3).
Correction: Only multiplying or dividing keeps the fraction the same size.
Changes only the denominator.
Correction: Whatever you do to the bottom, do to the top.
Teacher tips
- · Use fraction walls so pupils can see equal lengths.
Parent tips
- · Cut a pizza into 4 then 8 slices and compare halves.
Real-life applications
- · Recipes: 2/4 cup of milk is the same as 1/2 cup.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Introducing Equivalent Fractions 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 Equivalent Fractions Word Problems, Introducing Equivalent Fractions Techniques, Mixed 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 Equivalent Fractions Common Errors?
- Move on to Working with Equivalent Fractions, Equivalent Fractions in Context, which build directly on this idea.
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