Section B: Practice Problems Fractions on the Number Line

Section Summary

Details

In this section, we located and labeled fractions on the number line. We learned how to partition the number line from 0 to 1 to locate unit fractions.

Number line. Scale 0 to 1, evenly spaced tick marks. First tick mark, 0. Second tick, one sixth, point plotted. 4 unlabeled tick marks. Last tick mark, 1.

Number line. Scale 0 to 2. First tick mark, 0. Second tick, one sixth, point plotted. 4 unlabeled tick marks. Seventh tick mark, 1. Last tick mark, 2.

Then we used the location of unit fractions to locate other fractions.

Number line. Scale 0 to 2 by sixths, evenly spaced tick marks. First tick mark, 0. Last tick mark, 2. Points plotted at 2 sixths and 7 sixths.

We also learned that some fractions are at the same location as whole numbers on the number line. Here, we can see that $\frac{6}{6}$ shares the same location as 1 and $\frac{12}{6}$ shares the same location as 2.

At the end of the section, we used our understanding of unit fractions to locate 1 on the number line when we only knew the location of a fraction.

Problem 1 (Lesson 5)

Locate and label $\frac{1}{4}$ on the number line. Explain your reasoning.
Locate and label $\frac{1}{6}$ on the number line. Explain your reasoning.

Problem 2 (Lesson 6)

Locate and label $\frac{1}{8}$ on the number line.
Locate and label $\frac{1}{3}$ on the number line.

Problem 3 (Lesson 7)

Locate and label $\frac{4}{8}$ on the number line.
Locate and label $\frac{7}{6}$ on the number line.
Diego marks and labels fourths on the number line like this:

Do you agree with Diego? Explain your reasoning.

Problem 4 (Lesson 8)

Label the tick marks on the number line.
Which numbers on the number line are whole numbers? Explain how you know.

Problem 5 (Lesson 9)

Locate and label 1 on the number line. Explain your reasoning.

Number line. Tick marks labeled 0 and 5 thirds.

Problem 6 (Exploration)

How are the fraction strip and number line the same? How are they different?

Diagram. Rectangle partitioned into 8 equal parts, each labeled one eighth.

Number line. Scale 0 to 1 by eighths. Evenly spaced tick marks. First tick mark, 0. Last tick mark, 1.

Problem 7 (Exploration)

Han says that he can find 1 on the number line without finding $\frac{1}{8}$ . What might Han’s method be?

Number line. Two tick marks labeled 0 and 15 eighths.