Lesson 13 Represent Story Problems

    • Let’s compare representations and solve problems.

Warm-up Notice and Wonder: Compare Representations

What do you notice? What do you wonder?

Number line. Scale 0 to 10 by 1's. Arrow from 5 to 9, labeled 4.
Diagram. One rectangle split into 2 parts. Total length, 9. 1 part, total length, 5. Other part, total length, 4. 

Activity 1 Card Sort: Represent Stories

Today we are going to think about how we can use diagrams to make sense of stories and use number lines to show our thinking.

Activity 2 All Kinds of Representations

Solve each problem. Show your thinking. Use a number line or diagram if it helps.

  1. Clare started with 24 cubes and added on some more. Clare made a train with 42 cubes. How many cubes did Clare add on?

    Number line. Scale 0 to 80 by 5's. 
    Diagram. One rectangle split into 2 parts. Total length, blank. 1 part, labeled blank, total length, blank. Other part, labeled blank, total length, blank.

  2. Andre had 37 cubes. Then he added 39 more to make the train longer. How many cubes did Andre use?

    Number line. Scale 0 to 80 by 5's. 
    Diagram. A rectangle split into 2 parts, each labeled blank, with a length of blank. Total length, blank.

  3. Mai wanted her train to be 55 cubes long. So far she has 47. How many more cubes does Mai need?

    Number line. Scale 0 to 80 by 5's. 
    Diagram. One rectangle split into 2 parts. Total length, blank. 1 part, labeled blank, total length, blank. Other part, labeled blank, total length, blank.

Practice Problem

Problem 1

There are 18 students in the classroom. Then 13 more students join them.

  1. Label the tape diagram to match the story.

    Diagram. One rectangle split into 2 parts. Total length, question mark. 1 part, labeled blank, total length, blank. Other part, labeled blank, total length, blank.

  2. Label the number line to match the story.

    Number line. Scale 0 to 40 by 5's. Evenly spaced tick marks.

  3. How are the tape diagram and number lines the same? How are they different?

  4. How many students are in the classroom now?