# Reason using Benchmarks to Compare Two Fractions on the Number Line

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

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Lesson Plans and Worksheets for Grade 4

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

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.

Lesson 13 Problem Set 1 & 2

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

Lesson 12 Problem Set 3 & 4

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.
Lesson 12 Problem Set 5

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

Lesson 12 Homework

1. Place the following fractions on the number line given.

2. Use the number line in Problem 1 to compare the fractions by writing < or > on the lines:

3. Place the following fractions on the number line given.

5. Compare the fractions given below by writing > or < on the lines
Give a brief explanation for each answer referring to benchmark fractions.