unit c 1.09 average rate of change

Mrs. Fleming

CCGPS Coordinate AlgebraThe Slippery Slope of “Slope”

(Average Rate of Change)

January 28, 2014

1.09 Average Rate of Change

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- Be Courteous- Be Respectful

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and engaging educational experience for all students by incorporating school and

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student-centered instructional model.  Student success will be measured by valid and reliable

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through a holistic approach of rigorous academic standards, a commitment to individualized learning paths, and attention to the growth of each student as a civic minded contributor both within their local

communities and beyond. 

This Week’s Assignments

CCGPS Standards

Standards

MCC9-12.F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.

MCC9‐12.F.IF.7 Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.

Learning Target

*Find the rate of change and average rate of change of a function over a given interval.

*Big Ideas The slope of a line is the measure of its

steepness.

The formula for calculating the slope of a line is:

12

12

xx

yy

How much did “y” change or how far apart are the two numbers on a number line ?How much did “x” change or how far apart are the two numbers on a number line?

(0,-4)

(9,2)

(x,y)

(x,y)

2 - -4

9 - 0 6 rise 9 run

Hang on! It’s Your

Turn

A. 1B. -1C. 3 5D. -5 3

Find the slope of the line passing through the points (-3, 4) and (2, -1).

*Find the Slope

A. 9 2B. 2 9C. -9 2D. -2 9

Find the

Slope

Slope What does it look like in an equation?

What does it look like in a graph?

PositiveSlope

Negative Slope

Zero Slope

Undefined Slope

*Slope of a Line

*What is the Slope?

A. PositiveB. Undefine

dC. NegativeD. Zero

*What is the Slope?

A. PositiveB. Undefine

dC. NegativeD. Zero

*What is the Slope?

A. PositiveB. Undefine

dC. NegativeD. Zero

*What is the Slope?

A. PositiveB. Undefine

dC. NegativeD. Zero

So, what is the average rate of

change?

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