# Graphs of Piecewise Linear Functions

Essential Question: What is a Graphing Story?

Warm up

Describe the motion of the man in words.

Lesson

Graphing Stories

S.1 Example 1

• How high do you think he was at the top of the stairs? How did you estimate that elevation?
• Were there intervals of time when his elevation wasn’t changing? Was he still moving?
• Did his elevation ever increase? When?

• How should we label the vertical axis? What unit of measurement should we choose?
• How should we label the horizontal axis? What unit of measurement should we choose?
• Should we measure the man’s elevation to his feet or to his head on the graph?
• The man starts at the top of the stairs. Where would that be located on the graph?
• Show me with your hand what the general shape of the graph should look like.

S.1 Example 1

Work with your partner to draw the graph of the story

S.2 Example 2 (Partner Work)

• What is happening in the story when the graph is increasing, decreasing, constant over time?
• What does it mean for one part of the graph to be steeper than another?
• How does slope of each line segment relate to the context of the person’s elevation?
• Is it possible for someone walking on a hill to produce this elevation versus time graph AND return to her starting point at the 10-minute mark? If it is, describe what the hill might look like.
• What was the average rate of change of the person’s elevation between time 0 minutes and time 4 minutes?

Summary

Problems

S.3-4

graphingstories3

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