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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Presentation transcript:

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 white board to complete any bell work that is assigned.

BELLWORK Sketch this situation: Roller Coaster LoopRoller Coaster Loop (Stop at the :50 mark) Be sure to label your axes!

BELLWORK Which one did yours look like? OR Elevation (feet) Time (seconds) Elevation (feet) Time (seconds)

Lesson 1: Piecewise Functions 8/12/2015

STUDENT OUTCOME The student will…. ●Understand the relationship between physical measurements and their representation on a graph. Homework: pg. S.4 # 2-3

CLASSWORK Take a look at this graph. What is going on?

CLASSWORK With a partner create a story that describes the graph and write the story down on the piece of paper.

CLASSWORK Some questions that you might want to think about when you are writing this story…. 1)What is happening in the story when the graph is increasing, decreasing, or constant? 1)What does it mean when one part of the graph is steeper than the other?

PRESENT YOUR STORY ●Partner 1 read the story ●Partner 2 trace the graph with your finger while he reads the story aloud

CLASSWORK

Those are all GREAT stories but are these stories just as reasonable? ●A person moving up and down a vertical ladder could have produced this elevation-versus-time graph? ●Someone is hiking up a small hill to produce this elevation-versus-time graph and hiked back down to her starting point at the 10-minute mark?

CLASSWORK Let's say this is someone climbing a hill, how can we tell when the change in elevation is faster or slower?

CLASSWORK Could we figure the rate of elevation change for this person?

CLASSWORK What was her rate of elevation change between the times of 0 minutes and 4 minutes? What about between 6 and 10 minutes?

CLOSING Piecewise-Defined Linear Function: Given non- overlapping intervals on the real number line, a (real) piecewise linear function is a function from the union of the intervals on the real number line that is defined by (possibly different) linear functions on each interval.

CLOSING ●If you were tasked with describing the graph to a friend, how would you do it? ●What type of equation(s) would be required to create this graph?

EXIT TICKET On a half sheet of paper do the following: ●Put your name on the paper ●Calculate the rate of elevation change for this jump from the time he has free fallen for 25 seconds to his elevation at a minute into the freefall. ●What do you think the unit of measurement will be for our rate of change? ●Sketch the situation if needed Red Bull Stratosphere Jump

EXIT TICKET In case you need some numbers: ●At 25 seconds he was at an altitude of 116,261 ft. ●At 1 minute in he was at an altitude of 80,724 ft.