Rate of Change: An introduction to slope

Gold Day – 2/3/2015Blue Day – 2/4/2015

Agenda & News

Friday, 2/13/2015 is the last day of the 4th 6 weeks.

Monday, 2/16/2015 is a student holiday

Test corrections – Need to be done this week

Unit 5 – Linear functions and Applications Today we will discuss an introduction to

linear functions Rate of Change aka Slope

Reminders

In the last unit, we learned about relations and functions.

A specific function we touched on was linear function. Remember, Linear functions forms Lines.

To be a function, the x-value can not repeat. Must pass the vertical line test!

Activity - Outside

We are going skiing. Get you jackets on! It is going to be

cold! I need Videographers

In our activity, the bowling ball was the skier.

The concrete represents different parts of a ski resort.

What did we experience?

The Adventures of Slope Dude

Puff P

uff Pos

itive

Nice...N

egativeThis is ZERO fun!

Undefined

Summary

4 types of Slope Positive Negative Zero Undefined – the worst curse word EVER

in Algebra! We always read our graphs from left

to right, when determining the slope of a line.

Δ Dependentx

Main Idea:Rate of Change

AKA“Slope”

Ratio of the difference in the dependent variable to the difference in the independent variable.

Δ Dependent___Δ Independent

Δ, Delta,

means Change

Δ Y____Δ X

Rise

Run

Slope Art

Write you name in pencil on the line below only using straight lines. Grab different colored crayons.

____Undefined Slope

____Zero Slope

____Positive Slope

____Negative Slope

Finding slope using a graph A constant rate of change means

that something changes by the same amount during equal intervals. A graph that has a constant rate of change is a line, and the rate of change is the same as the slope of the line.

Slope

Slope is represented with the letter m.

Below are ways to find slope.

rise = 4

run = 5

m= rise

run

m= 4/5

Finding slope using a graph

Finding Slope using graphs - TPS

Finding slope using points

Using the formula, find the slope of a line through A(-2,1) and B(6,7).

Finding slope using points - TPS

Using the formula, find the slope of a line through T(2,5) and S(4,7).

Using the formula, find the slope of a line through C(-1,3) and D(3,-2).

Horizontal Lines

Find the slope of A(1,2) and B(4,2).

These lines are our ZERO fun lines.

Vertical Lines

Find the slope of C(4,2) and D(4,-1).

These lines are our UNDEFINED lines.