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.

Activity 1 Fractions Located at Whole Numbers

Number line. Scale 1 to 5 by 1's. Evenly spaced tick marks.
  1. Locate and label your assigned fractions on the number line. Be prepared to explain your reasoning.

    1.  

    2.  

    3.  

    Number line. Evenly spaced tick marks 0 to 5. First tick mark, 0. Last tick mark, 5.
  2. List all the fractions that were located at a whole number in all three number lines that your group labeled.

  3. 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.

  1. Number line. Tick marks labeled zero and one half.
  2. Number line. Tick marks labeled zero and one fourth.
  3. Number line. Tick marks labeled zero and one sixth.
  4. Number line. Tick marks labeled zero and one eighth.

Problem 2

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

Practice Problem

Problem 1

  1. Label the tick marks on the number line.

    Number line. Tick marks labeled zero and one fourth. The rest of the tick marks unlabeled.
  2. Which numbers on the number line are whole numbers? Explain how you know.