Lesson 12: Reason using benchmarks to compare two fractions on the number line.

Lesson 12 Homework 4 5

Name Date

1. a. Plot the following points on the number line without measuring.

i. 23 ii.

16 iii.

41

b. Use the number line in Part (a) to compare the fractions .

i. 23 _________ 12 ii.

41 _________

16

2. a. Plot the following points on the number line without measuring.

i. 512 ii.

34 iii.

26

b. Select two fractions from Part (a), and use the given number line to compare them by writing .

c. Explain how you plotted the points in Part (a).

0 12 1

0 12 1

A STORY OF UNITS

© 2014 Common Core, Inc. All rights reserved. commoncore.org

47

Lesson 12: Reason using benchmarks to compare two fractions on the number line.

Lesson 12 Homework 4 5

3. Give a brief explanation for each answer referring to the benchmark of 0, 12, and 1.

a. 12 _________ 14 b.

68 _________

12

c. 34 _________ 35 d.

46 _________

912

e. 23 _________ 14 f.

45 _________

812

g. 13 _________ 36 h. 8 _________

35

i. 51100 _________ 510 j.

814 _________

49100

A STORY OF UNITS

© 2014 Common Core, Inc. All rights reserved. commoncore.org

48