Lesson 8 Fractions and Whole Numbers

- Let’s work with fractions and whole numbers on the number line.

Warm-up Number Talk: Divide by 4

Find the value of each expression mentally.

$12 \div 4$
$24 \div 4$
$60 \div 4$
$72 \div 4$

Activity 1 Fractions Located at Whole Numbers

Number line. Scale 1 to 5 by 1's. Evenly spaced tick marks.

Locate and label your assigned fractions on the number line. Be prepared to explain your reasoning.
1. $\frac{1}{2}, \frac{2}{2}, \frac{3}{2}, \frac{4}{2}, \frac{5}{2}, \frac{6}{2}, \frac{7}{2}, \frac{8}{2}, \frac{9}{2}, \frac{10}{2}$
2. $\frac{1}{3}, \frac{2}{3}, \frac{3}{3}, \frac{4}{3}, \frac{5}{3}, \frac{6}{3}, \frac{7}{3}, \frac{8}{3}, \frac{9}{3}$
3. $\frac{1}{4}, \frac{2}{4}, \frac{3}{4}, \frac{4}{4}, \frac{5}{4}, \frac{6}{4}, \frac{7}{4}, \frac{8}{4}, \frac{9}{4}, \frac{10}{4}, \frac{11}{4}, \frac{12}{4}$
List all the fractions that were located at a whole number in all three number lines that your group labeled.
What patterns do you see in all three labeled number lines?

Activity 2 Locate 1 on the Number Line

Problem 1

Locate and label 1 on each number line. Be prepared to explain your reasoning.

Problem 2

How could you locate 2 on the number lines in the previous problem?

Practice Problem

Problem 1

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