Jag Nation PRIDE When you enter this classroom, immediately do the following: 1.Take your seat. 2.Turn off all electronic devices and place in backpack.

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Jag Nation PRIDE When you enter this classroom, immediately do the following: 1.Take your seat. 2.Turn off all electronic devices and place in backpack. 3.Take out all necessary materials (planner, binder, pencil) and place back pack on floor under desk. 4.Read the Smart Board and follow all directions posted. Copy homework assignment into planner. 5.Use a whiteboard to complete any bell work that is assigned.

LESSON 3: Graphs of Exponential Functions Learning Goal: Explore various functions and their graphs. Homework Practice: page S.13 #1-5 Honors #1-6

Bell Work: Open binders to page S.10 Darryl lives on the third floor of his apartment building. His bike is locked up outside on the ground floor. At 3:00 p.m., he leaves to go run errands, but as he is walking down the stairs, he realizes he forgot his wallet. He goes back up the stairs to get it and then leaves again. As he tries to unlock his bike, he realizes that he forgot his keys. One last time, he goes back up the stairs to get his keys. He then unlocks his bike, and he is on his way at 3:10 p.m.

Sketch a graph that depicts Darryl’s change in elevation over time.

Exploratory Challenge Watch the following graphing story. The video shows bacteria doubling every second. Bacteria Growth Video 1.Graph the number of bacteria versus time in seconds. Begin by counting the number of bacteria present at each second and plotting the appropriate points on the set of axes below. Consider how you might handle estimating these counts as the population of the bacteria grows.

Classwork Will the curve ever be perfectly vertical? If one bacterium divides once every 20 minutes, how much “real time” is passed in what we watched in the time-lapse video? We first created a graph with the unit scale for the horizontal axis as seconds. This time scale is according to the video’s clock. How could we change the scale of the horizontal axis so that it represents the real time of bacteria growth?

2. Graph the number of bacteria versus time in minutes.

3.Graph the number of bacteria versus time in hours (for the first five hours).

HOW ARE THEY DIFFERENT AND HOW ARE THEY THE SAME? CLOSING

EXIT Assume that a bacteria population doubles every hour. Which of the following three tables of data, with x representing time in hours and y the count of bacteria, could represent the bacteria population with respect to time? For the chosen table of data, plot the graph of that data. Label the axes appropriately with units.