1. Thurs, 12/9/10 SWBAT… graph lines on a TI-83 Agenda 1. WU - (5 min) 2. Graphing calculator activity (40 min) Warm-Up: If you know how to graph lines on the TI-83, work on the worksheet on your desk.

2. Fri, 12/10/10 SWBAT…compute slope Agenda 1. Chalk Talk (5 min) 2. Notes on slope (40 min) Warm-Up: 1. Place the “parent functions” in your toolkit 2. Set-up Cornell Notes – Topic is “slope” 3. Think of any word(s) that you associate with “slope” HW #1: Slopes of lines (front & back)

3. What do you call this function? Answer: Absolute value function

4. What do you call this function? y = 3 Answer: Constant function Francisco

5. What do you call this function? Answer: Identity function y=x Emmanuel 77% missed

6. Friday, 12/10 Slope Progress report grades due Monday, 12/13Tuesday, 12/14Wednesday, 12/15Thursday, 12/16Friday, 12/17 Interpreting slope and intercepts Writing equations of lines in slope intercept form (y=mx+b) Graphing linear functions using y=mx+b Graphing linear functions using y=mx+b Writing equations of lines in slope intercept form Winter Assembly Monday, 12/20Tuesday, 12/21Wednesday, 12/22Thursday, 12/23Friday, 12/24 Winter Break! Monday, 12/27Tuesday, 12/28Wednesday, 12/29Thursday, 12/30Friday, 12/31 Winter Break!

7. Monday, 1/3Tuesday, 1/4Wednesday, 1/5Thursday, 1/6Friday, 1/7 Point slope form & Standard form Point slope form & Standard form All 3 forms of lines 1. Slope-intercept 2. Point-slope 3. Standard Parallel and perpendicular lines Parallel and perpendicular lines Monday, 1/10Tuesday, 1/11Wednesday, 1/12Thursday, 1/13Friday, 1/14 Scantron TESTING Infinity teachers project Final review Monday, 1/17Tuesday, 1/18Wednesday, 1/19Thursday, 1/20Friday, 1/21 MLK NO CLASSES ALGEBRA FINAL Multiple Choice (evens–2 nd ) ALGEBRA FINAL Extended Response (evens–2 nd ) Finals – odds Monday, 1/24Tuesday, 1/25Wednesday, 1/26Thursday, 1/27Friday, 1/28 EXPLORE TESTING END OF Q2/S1 NO CLASSES

8. New unit - what will we be learning Slope Graphing lines  Slope-intercept form  y = mx + b  Point slope form  (y – y 1 ) = m(x = x 1 )  Standard forms  Ax + By = C Writing equations of lines  Slope-intercept form  y = mx + b  Point slope form  (y – y 1 ) = m(x = x 1 )  Standard forms  Ax + By = C Parallel and perpendicular lines Lines of fit

9. How do engineers build bridges?

11. How do engineers build roads?

13. How do builders build roofs?

15. How can we write 7% as a fraction?

16. 7% as a fraction?? Remember than any percent is a part of 100.

17. The grade or incline of a road is the same as slope Here is the picture: 7 feet 100 feet

18. Slope of a line (m) To find the slope, use the formula 4 4 (elevacion) (desplazamiento)

19. Slope of a line (m) To find the slope, use the formula 4 4

20. Slope of a line (m) Find the slope of the following lines: 1 2 A) B) 2 3

21. Why do we use m for slope? Possibly because m comes from the French word “monter”, which means to climb The earliest textbooks used m, and everyone else just copied it

22. Slope of a line (m) Is the slope positive or negative? Answer: Positive, read from left to right

23. Try for yourself Using the graph paper squares, draw lines with the following slopes. Start anywhere on your coordinate plane. A) B) Label your lines with their slopes Glue the graphs in your note book

26. Slope of a line (m) The last 2 lines had a positive slope, let’s look at slopes with negative slopes

27. Slope of a line (m) We still use rise over run, except the “stairs” are underneath the line. 3 -2

28. Try for yourself Using the graph paper squares, draw lines with the following slopes. Start anywhere on your coordinate plane. C) D) Glue the graphs in your note book

31. Your turn

32. “Official” Definition of Slope Slope is the change in the vertical distance (rise) over the change in the horizontal distance (run) Pendiente: Razon del cambio en la coordenada y (elevacion) al cambio correspondiente en la coordenada x (desplazamiento) a medida que uno se mueve de un punto a otra en una recta.

33. Find the slope of the line that passes through (1, 0) and (-1, -1). Question (x 1, y 1 ) (x 2, y 2 ) (To see the slope visually… Plot these points. Connect the line (don’t forget arrows)).

34. 1 2 m  What the graph looks like

35. What is the slope of this line? xy 02 21 40 6

36. Horizontal lines have a slope of ___ Vertical lines have a slope of ___ HorizontalVertical m = 0 m = undefined

37. Practice Problem A horizontal lines passes through (2, 5). What other point does the line contain? 1. (2,3) 2. (0,5) 3. (5,10) 4. (0,2)