Lesson 17 Interpret Diagrams

    • Let’s compare products without multiplying.

Warm-up Estimation Exploration: Fraction of a Whole Number

Record an estimate that is:

too low

about right

too high

Activity 1 Match the Diagram

Problem 1

Match the expressions and diagrams.

Number line
diagram
Number line. Scale, 0 to 10, by fives. Unlabeled point right of 0.
diagram
Number line. Scale 0 to 6, by threes. Unlabeled point, right of 0. 
diagram
Number line. 3 evenly spaced tick marks. Labeled, 0, 3, 6. point right of 3, not labeled.
diagram

Problem 2

Write or in each blank to make the inequality true.

  1. 3

  2. 3

  3. 5

Activity 2 Who Ran Farther?

  • Priya ran to her grandmother’s house.

  • Jada ran twice as far as Priya.

  • Han ran as far as Priya.

  • Clare ran as far as Priya.

  • Mai ran times as far as Priya.

  1. Which students ran farther than Priya?

  2. Which students did not run as far as Priya?

  3. List the runners in order from shortest distance run to longest. Explain or show your reasoning.

  4. The point P represents how far Priya ran. Write the initial of each student in the blank that shows how far they ran. One of the students will be missing.

    Number line. Tick mark, labeled 0. 4 points. From left to right, blank line, P, blank line, blank line.
  5. Label the distance for the missing student on the number line from part d.

Practice Problem

Problem 1

The point J on the number line shows how many miles Jada ran. Label the points on the number line to show how far each of these students ran.

  • Clare ran as far as Jada.

  • Tyler ran as far as Jada.

  • Lin ran as far as Jada.

Number line. Tick mark, labeled 0. 4 dots plotted. From left to right, blank line, J, blank line, blank line.