Becky Afghani, LBUSD Math Curriculum Office, Calculating slope from a graph

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!

Becky Afghani, LBUSD Math Curriculum Office, Objective Given a graph of a line, you will calculate the slope of the line. How steep is it?

Becky Afghani, LBUSD Math Curriculum Office, Imagine a roller coaster moving from LEFT to RIGHT

Becky Afghani, LBUSD Math Curriculum Office, There are four different kinds of slope the coaster could encounter...

Becky Afghani, LBUSD Math Curriculum Office, 20036

7

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

Becky Afghani, LBUSD Math Curriculum Office, Aw! That’s zero fun!

Becky Afghani, LBUSD Math Curriculum Office, That’s a really scary coaster, so the slope is…

Becky Afghani, LBUSD Math Curriculum Office, What are the 4 types of slope? 1.Determine who will be shoulder-partner A and shoulder-partner B 2.A says the name of a type of slope 3.B describes what it looks like 4.Name and describe all four types of slope One type of slope is… That one is…

Becky Afghani, LBUSD Math Curriculum Office, 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!

Becky Afghani, LBUSD Math Curriculum Office, negative

Becky Afghani, LBUSD Math Curriculum Office, positive

Becky Afghani, LBUSD Math Curriculum Office, zero

Becky Afghani, LBUSD Math Curriculum Office, undefined

Becky Afghani, LBUSD Math Curriculum Office, How can you describe the steepness of a roller coaster? 1.Slope is a number which describes the steepness of a line. 2.We use the variable m to stand for slope. Dude, why’d you use the letter m? I named it after my Mom

Becky Afghani, LBUSD Math Curriculum Office, What is slope? 1.Determine who will be shoulder-partner A and shoulder-partner B 2.A describes what slope is 3.B tells what letter is used for slope Slope is…We use the letter…

Becky Afghani, LBUSD Math Curriculum Office, What do big slopes and small slopes look like? When the slope is positive… m = 1 is a 45 degree angle m > 1 is a steep line 0 < m < 1 is a shallow line Negatives are the same but downhill… Show me!

Becky Afghani, LBUSD Math Curriculum Office,  Slope is positive one

Becky Afghani, LBUSD Math Curriculum Office, Steep climb for a coaster Slope is greater than positive one

Becky Afghani, LBUSD Math Curriculum Office, Shallow climb for a coaster Slope is between zero and one

Becky Afghani, LBUSD Math Curriculum Office,  Same as positive one, just downhill Slope is negative one

Becky Afghani, LBUSD Math Curriculum Office, Steep drop for a coaster These are “big” negative numbers Slope is less than negative one

Becky Afghani, LBUSD Math Curriculum Office, Shallow drop for a coaster These are “small” negative numbers Slope is between negative one and zero

Becky Afghani, LBUSD Math Curriculum Office, Let’s see if you can remember… You will see a graph and some choices. Use what you know about steep and shallow lines to pick the only possible slope.

Becky Afghani, LBUSD Math Curriculum Office, Do you remember?

Becky Afghani, LBUSD Math Curriculum Office, Do you remember?

Becky Afghani, LBUSD Math Curriculum Office, Do you remember?

Becky Afghani, LBUSD Math Curriculum Office, Do you remember?

Becky Afghani, LBUSD Math Curriculum Office, Do you remember?

Becky Afghani, LBUSD Math Curriculum Office, Do you remember? =

Becky Afghani, LBUSD Math Curriculum Office, Now, let’s practice… You will be given a slope. Make the line with your arms. Think… Positive or Negative Then… Steep, Shallow or 45-degree

Becky Afghani, LBUSD Math Curriculum Office, Stand up and show me with your arms – wait for my signal

Becky Afghani, LBUSD Math Curriculum Office, Stand up and show me with your arms – wait for my signal

Becky Afghani, LBUSD Math Curriculum Office, Stand up and show me with your arms – wait for my signal

Becky Afghani, LBUSD Math Curriculum Office, Stand up and show me with your arms – wait for my signal m=-3

Becky Afghani, LBUSD Math Curriculum Office, Stand up and show me with your arms – wait for my signal

Becky Afghani, LBUSD Math Curriculum Office, Stand up and show me with your arms – wait for my signal