This document discusses key concepts related to coordinate planes, plotting points, finding slopes of lines, and using slopes to determine which section of a ski slope is steepest. It provides examples of simplifying fractions, finding slopes using the point-slope formula and between points, and plotting a ski slope problem on the coordinate plane to determine the steepest section using slopes. Objectives are to understand the coordinate system, plot and label points, and find slopes using various methods.

1. Bellwork 1) 2) 3) Simplify the fraction 4) Simplify: 4) Simplify: 2 (a + 3b) - 4 (3a - b) - (5a + 4 b ) ) 3-5 6-0 -1 - 2 -6 - (-4) 0-1 1-0

2. Objectives: IWBAT demonstrate a thorough understanding of the coordinate system. IWBAT plot points and label points on the system.

3. 1. quadrants 2. origin 3. ordered pair 4. plot points 5. find coordinates x tells R or L y tells up or down

6. Cost of staying at a hotel Rate of Change Change in cost Change in # of days

7. Finding rate of change using graphs Days Total Cost ($) Cost of hotel over time vertical change horizontal change

8. Which section of the ski slope is steepest? Hittin' the slopes How do you know?

9. Slope Slope rise run vertical change horizontal change

10. Bellwork What quadrant is the point in? B) C) D) C? D?

11. Objective: IWBAT find slope using points on a graph and using the point-slope formula.

12. slope = m =

13. slope = m = rise run y - y x - x m = Finding slope using points 2 1 1 2 =

15. Bellwork Find the slope of L1 through L5.

23. Now that we know some slope basics, let's go back to the ski slope problem, and start by putting it on the coordinate plane.

24. X Y m = m = m = m =