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Monday, 1/4/10 SWBAT…get ready for the next unit and compute slope

Monday, 1/4/10 SWBAT…get ready for the next unit and compute slope. Agenda WU (5 min) Parent functions handout (5 min) Calendar of remaining semester / Announcements (5 min) Get Ready For Chapter 4 (15 min) Notes on slope (20 min) Warm-Up:

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Monday, 1/4/10 SWBAT…get ready for the next unit and compute slope

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  1. Monday, 1/4/10SWBAT…get ready for the next unit and compute slope Agenda • WU (5 min) • Parent functions handout (5 min) • Calendar of remaining semester / Announcements (5 min) • Get Ready For Chapter 4 (15 min) • Notes on slope (20 min) Warm-Up: 1. Sit at the table corresponding to your symbol 2. Hole punch your note cards and place… HW #1: Slopes of lines (front & back)

  2. New unit - what will we be learning • Slope • Graphing lines • Slope-intercept form  y = mx + b • Point slope form  (y – y1) = m(x = x1) • Standard forms  Ax + By = C • Writing equations of lines • Slope-intercept form  y = mx + b • Point slope form  (y – y1) = m(x = x1) • Standard forms  Ax + By = C • Parallel and perpendicular lines • Lines of fit

  3. FYI… • This is the foundation for upper level math courses such as Geometry, Algebra II, Pre-Calculus, Calculus • ACT LOVES THIS STUFF!!!

  4. Announcements • I will be collecting and grading most homeworks • To do well on the quizzes, tests, and final, you need to not only be able to use the formulas, but truly understand and apply the concepts • You need to complete the “HOTS” problems • You can expect: • 1-2 quizzes/week • Homework or specific problems from hw • WUs • Exit slip • Lots of practice problems in class • Many WU practice problems • Many exit slip practice problems • Vocabulary note cards are due every Friday

  5. All PPT and HWs are on the Infinity website • Math Vocab sheet is on the Infinity website • Office Hours • Every Tuesday and Thursday in the Library • Monday and Wedesday with Mr. Martinez in room 107

  6. For the next 15 minutes… • Complete the ODD questions “Get ready for the next unit” handout • When you finish, cut a piece of graph paper into 8 squares • Set-up Cornell notes. Topic is “Slope”

  7. Tuesday, 1/5/10SWBAT…compute slope Agenda • WU (5 min) • Notes on slope (40 min) Warm-Up: 1. Set-up Cornell Notes – Topic is “slope” 2. On the board, write down any word that you associate with “slope” HW #1: Slopes of lines (front & back)

  8. How do engineers build bridges?

  9. How do engineers build roads?

  10. How do builders build roofs?

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

  12. 7% as a fraction?? • Remember than any percent is a part of 100.

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

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

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

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

  17. 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

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

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

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

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

  22. 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

  23. Your turn

  24. “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.

  25. Question Find the slope of the line that passes through (1, 0) and (-1, -1). (x1, y1) (x2, y2) (To see the slope visually… Plot these points. Connect the line (don’t forget arrows)).

  26. 1 = m 2 What the graph looks like

  27. What is the slope of this line?

  28. Horizontal lines have a slope of ___ Vertical lines have a slope of ___ m = 0 Vertical Horizontal m = undefined (no slope)

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

  30. Practice problem Given Slope 1 = 1/100, Slope 2 = 2/15, Slope 3 = -1/25 Question 1: Which is the steepest? Question 2: Which is the least steep? HW Prob #14 - 16

  31. Practice Problem • Directions: Find the value of r so the line that passes through each pair of point has the given slope. (12, 10), (-2, r), m = -4 HW Prob #12

  32. Practice Problem • Directions: Find the value of r so the line that passes through each pair of point has the given slope. (12, 10), (-2, r), m = -4 HW Prob #12

  33. HW#1: Slope, due Thursday

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