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Plot data on line graphs and analyze trends


Videos and solutions to help grade 5 students learn how to plot data on line graphs and analyze trends.

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Common Core For Grade 5

New York State Common Core Math Module 6, Grade 5, Lesson 19

Topic D:Problem Solving in the Coordinate Plane

Lesson 19 Homework

1. Use the graph to answer the questions.
Johnny left his home at 6 a.m. and kept track of the number of kilometers he traveled at the end of each hour of his trip. He recorded the data in a line graph.
a. How far did Johnny travel in all? How long did it take?
b. Johnny took a one-hour break to have a snack and take some pictures. What time did he stop? How do you know?
c. Did Johnny cover more distance before his break or after? Explain.
d. Between which two hours did Johnny ride 4 kilometers?
e. Which hour did Johnny ride the fastest? Explain how you know.

Lesson 19 Homework

2. The line graph below tracks Santino’s time, at the beginning and end of each length of a triathlon. Use the information in the graph to answer the questions that follow.
a. How long does it take Santino to finish the triathlon?
b. To complete the triathlon, Santino first swims across a lake, then bikes through the city, and finishes by running around the lake. According to the graph, what was the distance of the running portion of the race?
c. During the race Santino pauses to put on his biking shoes and helmet, and then later change into his running shoes. At what times did this most likely occur? Explain how you know.
d. Which part of the race does Santino finish most quickly? How do you know?
e. During which part of the triathlon is Santino racing most quickly? Explain how you know.


Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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