Word Problems Tape Diagrams

Double Number Lines

Created by: Mrs. J Couch

PracticeIf 1 inch is approximately 2.54 centimeters, how

many centimeters are equal in length to 3.5 inches?

PracticeThe ratio of boys to girls in a class is 6:4. If there

are 30 students in the class, how many are boys?

PracticeThe graph below compares cups to pints. Which

of the following ordered pairs would also satisfy this relationship?

A. (4, 2)

B. (2, 4)

C. (2, 0)

D. (1, 2)

PracticeThe table below shows the cost for varying

number of books. If the relationship stays the same, determine the value of n.

Tape DiagramsDrawings that look like a segment of tape, used

to illustrate number relationships. Also known as strip diagrams, bar models or graphs, fraction strips, or length models

PracticeA 5th grade class counted the number of cars

that went by the front entrance of the school between 9 o’clock and 10 o’clock. The total number of cars counted were 156. There were 3 times as many passenger cars as trucks. How many passenger cars and how many trucks were counted?

PracticeThere are 3.5 times as many fifth graders at

School A than School B. There are 115 more students at School A than School B. How many students are there at School A how many students attend School B?

Double Number LineThey are used for understanding the

equivalence of two related numbers. It’s called “double” because each mark on the line has two sets of numbers matched to it. The top row of numbers describes the whole represented by the line in one way and the bottom row describes the whole in another way. Because the whole line is the same, it’s possible to see the equivalences between the rows of numbers at any point on the line.

Practice

PracticeKyle has sold 28 candy bars. That’s 4 times as

many as Jack sold. How many more candy bars did Kyle sell than Jack?

PracticeMrs. Wesley purchased 42 meters of wire. She

used 3/7 of the wire in a science experiment. How many meters of wire did Mrs. Wesley have left?

Copy and finish for homework:

At the ski park each lift holds 3 people, and there are 5 lifts. The lift takes 10 minutes. There are still 150 people in the line, and the lift closes in exactly one hour. Will all the people be able to ride the lift? Justify your answer.