Lesson 14 Use Diagrams to Compare

    • Let’s use bar graphs and diagrams to solve Compare problems.

Warm-up Notice and Wonder: What Kind of Graph Is This?

What do you notice? What do you wonder?

Horizontal bar graph. Juice Flavors for the Party. Horizontal axis from 0 to 16 by ones. Vertical axis labeled lemonade, fruit punch, apple, grape. Length of bar: Lemonade, 12. Fruit punch, 6. Apple, 15. Grape, 8.
Diagram. Two rectangles of equal length labeled Apple and Grape.
Diagram. Two rectangles of equal length. Rectangle on top labeled apple, shaded green, total length, 15. Rectangle on the bottom labeled grape. Rectangle on bottom partitioned into two parts. First part, shaded blue, total length 8. Second part has dashed outline, total length, question mark.

Activity 1 Party Time

  1. Glue down the two bars that compare the number of students who picked hot dogs to the number who picked burgers.

  2. Write two statements that compare the number of students who picked hot dogs to the number who picked burgers.

Activity 2 Party Time

Horizontal bar graph. Party Time. Horizontal axis from 0 to 20 by ones. Vertical axis labeled pizza, burgers, hot dogs. Length of bar: Pizza, 19. Burgers, 8. Hot dogs, 14.

  1. Use the data from the bar graph to complete the diagram.

    Diagram. Two rectangles of equal length. Rectangle on top label is blank, partitioned into 2 parts. First part, shaded, total length, blank. Second part has dashed outline, total length, blank. Rectangle on the bottom labeled, blank, shaded, total length, 19.

  2. How many more students chose pizza than chose burgers? Write an equation to show how you found the difference.

  3. Use the data from the bar graph to complete the diagram.

    Diagram. Two rectangles of equal length. Rectangle on top not labeled, partitioned into 2 parts. First part, shaded, total length, 14. Second part has dashed outline, total length, question mark. Rectangle on the bottom labeled pizza, shaded, total length, blank.

  4. Write a statement that compares the student votes in the diagram.

Practice Problem

Problem 1

The bar graph shows the number of connecting cubes of different colors in a bag.

Horizontal bar graph. Connecting Cube Colors. Horizontal axis from 0 to 18 by ones. Vertical axis labeled blue, green, yellow, brown. Length of bar: Blue, 17. Green, 9. Yellow, 6. Brown, 15.

  1. Use the bar graph to complete the tape diagram.

    Diagram. Two rectangles of equal length. Rectangle on top labeled green, partitioned into 2 parts. First part, shaded, total length, blank. Second part has dashed outline, total length, question mark. Rectangle on the bottom labeled brown, shaded, total length, blank.

  2. How many fewer green connecting cubes than brown connecting cubes are in the bag? Show or explain your reasoning.