Free Grade 3 Fractions on a Number Line in Context Lesson Plans
Free Grade 3 lesson plans for Fractions on a Number Line in Context: 12 real questions with a full answer key and worked solutions. To compare fractions, give them a common denominator, then compare the numerators. With the same numerator, the smaller denominator is the bigger fraction.
Free
Higher
35 min
24
Learning objectives
Every objective is checkable, and each one maps to an activity and an assessment.
- RememberIdentify fractions on a number line in context
Identify fractions on a number line in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- UnderstandExplain fractions on a number line in context
Explain fractions on a number line in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- ApplyCalculate fractions on a number line in context
Calculate fractions on a number line in context accurately in a familiar context.
Assessed by: Exit ticket of four short items
- AnalyseCompare fractions on a number line in context
Compare fractions on a number line in context 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 Fractions on a Number Line in Context works
To compare fractions, give them a common denominator, then compare the numerators. With the same numerator, the smaller denominator is the bigger fraction.
12 practice questions
Easy to hard, 24 marks in total. Try them first, then open the answers.
- 1.Which is bigger, 3/5 or 6/8? Use <, > or =.[1]
- 2.Which is bigger, 3/8 or 2/3? Use <, > or =.[1]
- 3.Which is bigger, 2/5 or 5/9? Use <, > or =.[1]
- 4.Which is bigger, 4/6 or 4/9? Use <, > or =.[1]
- 5.Which is bigger, 1/3 or 2/11? Use <, > or =.[2]
- 6.Which is bigger, 1/3 or 3/11? Use <, > or =.[2]
- 7.Which is bigger, 4/5 or 4/7? Use <, > or =.[2]
- 8.Which is bigger, 6/9 or 1/9? Use <, > or =.[2]
- 9.Which is bigger, 7/8 or 3/8? Use <, > or =.[3]
- 10.Which is bigger, 2/8 or 1/9? Use <, > or =.[3]
- 11.Which is bigger, 3/4 or 6/14? Use <, > or =.[3]
- 12.Which is bigger, 2/7 or 6/7? Use <, > or =.[3]
Show answers and working
1. 3/5 < 6/8
Common denominator: 40. 3/5 = 24/40 and 6/8 = 30/40. Compare numerators: 24 < 30.
2. 3/8 < 2/3
Common denominator: 24. 3/8 = 9/24 and 2/3 = 16/24. Compare numerators: 9 < 16.
3. 2/5 < 5/9
Common denominator: 45. 2/5 = 18/45 and 5/9 = 25/45. Compare numerators: 18 < 25.
4. 4/6 > 4/9
Common denominator: 18. 4/6 = 12/18 and 4/9 = 8/18. Compare numerators: 12 > 8.
5. 1/3 > 2/11
Common denominator: 33. 1/3 = 11/33 and 2/11 = 6/33. Compare numerators: 11 > 6.
6. 1/3 > 3/11
Common denominator: 33. 1/3 = 11/33 and 3/11 = 9/33. Compare numerators: 11 > 9.
7. 4/5 > 4/7
Common denominator: 35. 4/5 = 28/35 and 4/7 = 20/35. Compare numerators: 28 > 20.
8. 6/9 > 1/9
Common denominator: 9. 6/9 = 6/9 and 1/9 = 1/9. Compare numerators: 6 > 1.
9. 7/8 > 3/8
Common denominator: 8. 7/8 = 7/8 and 3/8 = 3/8. Compare numerators: 7 > 3.
10. 2/8 > 1/9
Common denominator: 72. 2/8 = 18/72 and 1/9 = 8/72. Compare numerators: 18 > 8.
11. 3/4 > 6/14
Common denominator: 28. 3/4 = 21/28 and 6/14 = 12/28. Compare numerators: 21 > 12.
12. 2/7 < 6/7
Common denominator: 7. 2/7 = 2/7 and 6/7 = 6/7. Compare numerators: 2 < 6.
Worked examples
Which is bigger, 6/9 or 6/7? Use <, > or =.
- Common denominator: 63.
- 6/9 = 42/63 and 6/7 = 54/63.
- Compare numerators: 42 < 54.
- Answer: 6/9 < 6/7
Which is bigger, 7/8 or 1/8? Use <, > or =.
- Common denominator: 8.
- 7/8 = 7/8 and 1/8 = 1/8.
- Compare numerators: 7 > 1.
- Answer: 7/8 > 1/8
Which is bigger, 1/2 or 2/3? Use <, > or =.
- Common denominator: 6.
- 1/2 = 3/6 and 2/3 = 4/6.
- Compare numerators: 3 < 4.
- Answer: 1/2 < 2/3
Interactive practice
Free, no account required — answer on screen or print it.
Common mistakes
What learners typically get wrong, and how to fix it.
Thinks 1/8 is bigger than 1/4 because 8 is bigger.
Correction: More pieces means smaller pieces.
Compares numerators without matching denominators.
Correction: Make the denominators the same first.
Teacher tips
- · Place fractions on a number line from 0 to 1.
Parent tips
- · Ask: would you rather have 1/3 or 1/4 of a cake?
Real-life applications
- · Deciding which deal or share is bigger.
Assessment objectives
How mastery is evidenced, and which standards it maps to.
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Frequently asked
- Is this Grade 3 Fractions on a Number Line in Context 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 Working with Fractions on a Number Line, Introducing Fractions on a Number Line, Ordering Fractions. 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 Fractions on a Number Line in Context?
- Move on to Introduction to Fractions, Parts of a Fraction, Numerator, Denominator, which build directly on this idea.
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