Agenda 1.Hand out Unit 5 Outline 2.Handout: 4 types of slope (10-15 mins) – for homework if not done 3.Lesson: Rate of Change and Slope Part 1

5.1 Rate of Change and Slope Objective: SWBAT determine the slope of a line given a graph or two ordered pairs.

Rate of Change What is the rate of change for the data to the left? change of dependent = $15 change of independent = 1 $15 = $15/day 1 day What does the rate of change mean? It cost $15 more to rent a computer each day. change in the independent variable

The Magnum Cedar Point, OH Ghost Rider Knott’s Berry Farm Xcelerator Knott’s Berry Farm Superman 6 Flags Magic Mountain Son of Beast King’s Island, OH How steep is the steepest roller coaster? These are completely vertical!

Imagine a roller coaster moving from LEFT to RIGHT

There are four different kinds of slope the coaster could encounter...

And 2 Special Cases… The zero-fun coaster The impossibly scary coaster What kind of slope are they?

Aw! That’s zero fun!

That’s a really scary coaster, so the slope is…

For the following slides, call out whether the slope is positive, negative, zero, or undefined. Wait for the count of 3 before you say your answer!

negative

positive

zero

undefined

How do you calculate the slope of a line? 1.Pick two points on the line 2.Calculate “rise over run” 3.Determine the sign

Start with 2 points on gridline intersections

How do you calculate the slope of a line? Slope = Vertical change Horizontal change OR... Rise Run m Slope = m Rise Run

What sign is it? Look to see if the slope is increasing Or decreasing

Model # 1: Watch me do the three steps Step 1: Choose 2 points Rise = 2 Run = 1 Rise Run 2 1 m = 2 Step 3: Determine the sign positive Slope = Rise Run Step 2: +

Model # 2: Watch me do the three steps Step 1: Choose 2 points Rise = 1 Run = 3 Rise Run 1 3 m = 1/3 Step 3: Determine the sign negative Slope = Rise Run Step 2: -

Practice # 3: Find the slope of this line Rise Run Rise = 3 Run = 2 +

Practice # 4: Find the slope of this line Rise = 1 Run = 3 Rise Run negative

End of Part 1 of the Lesson Complete and hand in with your homework folders if not already finished

Agenda Lesson: Rate of Change and Slope Part 2 Handout: Slope Graphic Organizer Homework Time

Slope Formula 5. Given (5, -3) and (-4, 2), find the slope of the line. x1x1 y1y1 x2x2 y2y2 m =

Slope Formula 6. Given (0, -2) and (4, -2), find the slope of the line. x1x1 y1y1 x2x2 y2y2 m =

Tell your partner... What are the steps to find the slope of a line from a graph? Calculate rise over run. Look at the line to see if the slope is positive or negative.

Wrap Up Rate of Change (includes units) Slope –Positive –Negative –Zero –Undefined HW: Pg # 9, all, all, 23,24,27

Homework Pg # 9, all, all, 23,24,27