1. Welcome to Summer School Math… with Mr. Martin & Ms. Fonner
*Be sure to enter class with last name and then first name:
Example:
Martin_Shawn
Today’s Agenda:
Functions & Graphing Functions

2. A one stop shop for everything…summer school! 

4. Today’s Sponsor…

5. Practical Uses for Coordinate Plane
Coordinate planes, also known as Cartesian systems, have a number of uses in practical life.
Statisticians use them to depict trends.
Physicists and economists use coordinate planes to show the connection between two factors.
Geographers use them in mapping.

6. Vocabulary
Saving the world isn’t enough, I want to help students understand the Coordinate Plane!

7. Graphing Points: Mapping Connection
What ordered pair best describes the location of Dallas, Texas?

8. Locating Points: Mapping Connection
Which location in Texas is closest to the ordered pair (-6, 1)?

9. Ready to dig in?

10. Warming Up
Evaluate the expressions for the given value of the variable.
4x – 1 for x = 2
7y + 3 for y = 5
c/7 for c = 56

11. Vocabulary
A function is a rule that relates two quantities so that each input value corresponds exactly to one output value.

12. Find the values of “y”
Input
Output
y = 3x

13. Find the values of “y”
Input
Output
y = 3x + 4

14. Checking Solutions of Equations
Check if an ordered pair is a solution of an equation by putting the x and y values into the equation to see if they make it a true statement.
(5, 64)
y = 12x + 4

15. Checking Solutions of Equations
Check if an ordered pair is a solution of an equation by putting the x and y values into the equation to see if they make it a true statement.
(6, 4)
y = 2x – 8

16. Checking Solutions of Equations
Check if an ordered pair is a solution of an equation by putting the x and y values into the equation to see if they make it a true statement.
(-3, -18)
y = -6x

17. Graphing Functions
You can also graph the solutions of an equation on a coordinate plane. When you graph the ordered pairs of some functions, they form a straight line. The equations that express these functions are called linear equations.

18. Linear Function
Use the graph of the linear function to find the value of y for the given value of x.
x = 2
( , )

19. Linear Function
Use the graph of the linear function to find the value of y for the given value of x.
x = 4
( , )

20. Complete the function table
Use the given x-values to write solutions of the equation y = x + 3 as ordered pairs. x -1 1 2 y

21. (x, y)
(-1, 2)
(0, 3)
(1, 4)
(2, 5)
Graphing the Function

22. 3 or 4… On a higher floor!!!!  1 or 2… Practice to do! 4 3 2 1
Functions &
Graphing
Functions
3 or 4…
On a higher floor!!!! 
1 or 2…
Practice to do!