Reason using Benchmarks to Compare Two Fractions on the Number Line

Examples, solutions and videos to help Grade 4 students learn how to reason using benchmarks to compare two fractions on the number line.

Common Core Standards: 4.NF.2

New York State common Core Grade 4, Module 5, Lesson 13

Worksheets for Grade 4

Lesson 13 Concept Development
Problem 1: Reason to compare fractions between 1 and 2.
Problem 2: Reason about the size of fractions as compared to 1 1/2.
Problem 3: Reason using benchmarks to compare two fractions.

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Lesson 13 Problem Set

1. Place the following fractions on the number line given.
   a. 4/3
   b. 11/6
   c. 17/12
2. Use the number line in Problem 1 to compare the fractions by writing < or > on the lines.
   a. 1 5/6 ____ 1 5/12
   b. 1 1/3 ____ 1 5/12
3. Place the following fractions on the number line given.
   a. 11/8
   b. 7/4
   c. 15/12
4. Use the number line in Problem 3 to explain the reasoning you used when determining whether 11/8 or 15/12 is greater.
5. Compare the fractions given below by writing or ˂ on the lines Give a brief explanation for each answer referring to benchmark fractions.
   a. 7/5 ___ 11/10
   b. 5/12 ___ 7/8
   c. 8/6 ___ 11/12
   d. 6/8 ____ 5/4

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Lesson 13 Homework

1. Place the following fractions on the number line given.
   a. 3/2
   b. 9/5
   c. 14/10
2. Use the number line in Problem 1 to compare the fractions by writing < or > on the lines:
   a. 1 1/6 ____ 1 4/12
   b. 1 1/2 ____ 1 4/5
3. Place the following fractions on the number line given.
   a. 12/9
   b. 6/5
   c. 18/15
4. Use the number line in Problem 3 to explain the reasoning you used when determining whether 12/9 or 18/15 is greater.
5. Compare the fractions given below by writing > or < on the lines
   Give a brief explanation for each answer referring to benchmark fractions.
   a. 2/5 ___ 6/8
   b. 6/10 ___ 5/6
   c. 6/4 ___ 7/8
   d. 1/4 ____ 8/12

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