1. Representing Linear Functions By Irma Crespo 2010

2. A B C Draw with Ordered Pairs The coordinates of a point (x, y) is called an ordered pair. Example: point C is at the intersection of x=5 and y=14. So, the ordered pair is (5, 14).

3. Draw with Ordered Pairs (-20, -5) (-1, 9) (5, 14) The coordinates of a point (x, y) is called an ordered pair. Example: point C is at the intersection of x=5 and y=14. So, the ordered pair is (5, 14). A B C

4. (-1, 9) A(-20, -5) (5, 14) B C Draw with Ordered Pairs The coordinates of a point (x, y) is called an ordered pair. Example: point C is at the intersection of x=5 and y=14. So, the ordered pair is (5, 14). START DRAWING. Follow the ordered pair list. Have fun!

5. Draw with Ordered Pairs The Kite

6. Graph with Ordered Pairs (x, y) Graph y = x + 2 InputRuleOutput Ordered Pair x x + 2y(x,y) -2 0 1 2 -2 + 2 0 + 2 1+ 2 2 + 2 -1 + 2 (-2,0) (-1,1) (0, 2) (1, 3) (2, 4) (-2,0) (-1,1) (0,2) (1,3) (2,4) 0 2 3 4 1

7. Graph InputOutput Ordered Pair xy(x,y) -2-3 01 13 (1, 3) (-2,-3) (0, 1) (-1, -1) (-2,-3) (-1,-1) (0,1) (1,3)

8. More Examples on the Whiteboard Graph y = x - 5 Graph y = - 2x Graph y = 2x + 1 For graphing, use the x values: -2, -1, 0, 1, 2.

9. Graphing a Linear Function The graphs are all straight lines. The graph of the solutions that form a line is called a linear function. A linear function can be represented in words, with a table, with a graph, and as ordered pairs. REMEMBER Create a table, plot the ordered pairs, and connect the points to make the graph for a linear function.

10. Practice Worksheet Complete the worksheet. You have a choice to work on your own or to work with a partner. Completed worksheets are submitted for grading. Solutions are discussed the next day.

11. Time is up!

12. Acknowledgements LINEAR FUNCTIONS (Chapter 9) MAIN LESSON (not the anticipatory set) by Math Connects: Concepts, Skills, and Problem Solving Teacher Edition; Course 3, Volume 2 Columbus:McGraw-Hill, 2009. POWERPOINT CREATED by Irma Crespo. University of Michigan-Dearborn, School of Education; Winter, 2010.