Lesson 7 Non-unit Fractions on the Number Line

- Let’s locate non-unit fractions on the number line.

Warm-up Choral Count: One-fourths

Count by $\frac{1}{4}$ , starting at $\frac{1}{4}$ .
What patterns do you see?

Activity 1 Number Line Scoot

Now you will play a game where you move, by fractions, along different number lines. To start, each player places a small cube on zero on each number line. The goal of the game is to get as many small cubes as you can to the 4 on any of the number lines.

Activity 2 Fractions on the Number Line

Locate and label $\frac{3}{4}$ and $\frac{6}{4}$ .
Locate and label $\frac{7}{8}$ and $\frac{12}{8}$ .
Locate and label $\frac{2}{3}$ and $\frac{4}{3}$ .
Locate and label $\frac{2}{6}$ and $\frac{7}{6}$ .
How did you partition the number line when you were locating the numbers $\frac{7}{8}$ and $\frac{12}{8}$ ? Explain your reasoning.
What patterns did you notice in the fractions you located?

Activity 3 What’s the Fraction?

Partition the number line into any number of equal-size parts. Locate and mark, but don’t label, a fraction of your choice.
Trade number lines with a partner.
1. How did your partner partition their number line?
2. What number did your partner mark on their number line? Explain your reasoning.
If you have time… Play the game again.

Practice Problem

Problem 1

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.