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Mrs. Fleming
CCGPS Coordinate Algebra
The Slippery Slope of “Slope”
(Average Rate of Change)

January 28, 2014
1.09 Average Rate
of Change
Study Island 2v
* Class Rules *
- Be Active
- Be Polite
- Be Courteous
- Be Respectful

MISSION: The mission of the Georgia Cyber
Academy is to provide an exemplary
individualized and engaging educational
experience for all students by incorporating school
and community/family partnerships coupled with a
rigorous curriculum within a data-driven and
student-centered instructional model. Student
success will be measured by valid and reliable
assessment data, parent and student satisfaction,
and continued institutional growth within the
academic community.
VISION: GCA students will emerge as confident
leaders in the 21st century global community
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:

2 - -4

y2
x2

y1
x1

9-0

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?

6
9

rise
run

(x,y)
(9,2)

(x,y)
(0,-4)
Hang on! It’s
Your Turn
Find the slope of the line
passing through the points
(-3, 4) and (2, -1).
A. 1
B. -1
C. 3
5
D. -5
3
*Find the Slope
A. 9
2
B. 2
9
C. -9
2
D. -2
9
Find the
Slope
*Slope of a Line
Slope

Positive
Slope
Negative
Slope
Zero Slope

Undefined
Slope

What does it look
like in an equation?

What does it look like in a
graph?
*What is the Slope?
A. Positive
B. Undefined
C. Negative
D. Zero
*What is the Slope?
A. Positive
B. Undefined
C. Negative
D. Zero
*What is the Slope?
A. Positive
B. Undefined
C. Negative
D. Zero
*What is the Slope?
A. Positive
B. Undefined
C. Negative
D. Zero
So, what is the average
rate of change?
Study Island
Study Island
Study Island
Study Island
Study Island
Don’t get behind! It makes you feel like road kill!

Open each of these in your
Algebra Class TODAY! Don’t
get behind!

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Unit C 1.09 average rate of change

  • 1. Mrs. Fleming CCGPS Coordinate Algebra The Slippery Slope of “Slope” (Average Rate of Change) January 28, 2014 1.09 Average Rate of Change Study Island 2v
  • 2. * Class Rules * - Be Active - Be Polite - Be Courteous - Be Respectful MISSION: The mission of the Georgia Cyber Academy is to provide an exemplary individualized and engaging educational experience for all students by incorporating school and community/family partnerships coupled with a rigorous curriculum within a data-driven and student-centered instructional model. Student success will be measured by valid and reliable assessment data, parent and student satisfaction, and continued institutional growth within the academic community. VISION: GCA students will emerge as confident leaders in the 21st century global community 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.
  • 4. 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.
  • 5. *Big Ideas   The slope of a line is the measure of its steepness. The formula for calculating the slope of a line is: 2 - -4 y2 x2 y1 x1 9-0 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? 6 9 rise run (x,y) (9,2) (x,y) (0,-4)
  • 6. Hang on! It’s Your Turn Find the slope of the line passing through the points (-3, 4) and (2, -1). A. 1 B. -1 C. 3 5 D. -5 3
  • 7. *Find the Slope A. 9 2 B. 2 9 C. -9 2 D. -2 9
  • 9. *Slope of a Line Slope Positive Slope Negative Slope Zero Slope Undefined Slope What does it look like in an equation? What does it look like in a graph?
  • 10. *What is the Slope? A. Positive B. Undefined C. Negative D. Zero
  • 11. *What is the Slope? A. Positive B. Undefined C. Negative D. Zero
  • 12. *What is the Slope? A. Positive B. Undefined C. Negative D. Zero
  • 13. *What is the Slope? A. Positive B. Undefined C. Negative D. Zero
  • 14. So, what is the average rate of change?
  • 20. Don’t get behind! It makes you feel like road kill! Open each of these in your Algebra Class TODAY! Don’t get behind!