Unit 5: Analytic Geometry Lesson 1: Models of Movement Learning Goal  I can determine the rate of change of segments of a time-distance graph.

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Presentation transcript:

Unit 5: Analytic Geometry Lesson 1: Models of Movement Learning Goal  I can determine the rate of change of segments of a time-distance graph.

Unit 5: Analytic Geometry Lesson 1: Models of Movement Determine the rate of change (speed) for each segment of the graph. Mrs. Gonzalez- Day runs each day as part of her daily exercise. The graph shows her distance from home as she runs her route.

Unit 5: Analytic Geometry Lesson 1: Models of Movement Can you write a story that describes this graph?

Unit 5: Analytic Geometry Lesson 1: Models of Movement During which time segment did Mrs. Gonzalez- Day run the fastest?

Unit 5: Analytic Geometry Lesson 1: Models of Movement How long did it take Mrs. Gonzalez-Day to complete her run?

Unit 5: Analytic Geometry Lesson 1: Models of Movement Practice Complete Pg. 197 #1 - 11

Unit 5: Analytic Geometry Lesson 1: Models of Movement Distance vs. Time Time (min) A B C D E F G Distance from Home (m) At 11 o’clock, Billy’s mother sends him to the corner store for milk and tells him to be back in 30 minutes. Examine the graph.

Unit 5: Analytic Geometry Lesson 1: Models of Movement 1.Why are some line segments on the graph steeper than others? 2.Calculate the rate of change (speed) of each of the line segments: Rate of change AB = Rate of change BC = Rate of change CD = Rate of change DE = Rate of change EF = Rate of change FG =

Unit 5: Analytic Geometry Lesson 1: Models of Movement 3.Over what interval(s) of time is Billy travelling the fastest? the slowest? (Compare steepness, not direction.) 4.How long did it take Billy to reach the store? How do you know? 5.How long did Billy stay at the store?

Unit 5: Analytic Geometry Lesson 1: Models of Movement 6. How long did it take Billy to get home from the store? 7.How can you use the graph to tell which direction Billy is travelling?

Unit 5: Analytic Geometry Lesson 1: Models of Movement 8. Did Billy make it home in 30 minutes? How do you know? 9. Using the information the graph provides, write a story that describes Billy’s trip to the store and back.

Unit 5: Analytic Geometry Lesson 1: Models of Movement Homework  Pg. 199 #1 - 3