1. Do Now 1/21/14 Copy HW in your planner.  Text page 208, #11-20 all, 22-28 evens In your journal, answer the following question. There are two skateboard ramps at a skate park. One ramp is 12 ft long and 6 ft tall. The other is 10 ft long and 8 ft tall. Which ramp do you think is steeper? How can you tell? Be ready to copy POTW #5.

2. Hands-On Lab “Graph Proportional Relationships” Activity #1 Time (x)123456 Distance (y) 1/41/23/411 1/41 1/2 1) 2) 3) 4) Think and Discuss 1) Yes, it represents 0 miles per minute, or the start of DeNae’s bike ride. 2) Try This 1)

3. Hands-On Lab “Graph Proportional Relationships” Activity #2 Time (x)51015202530 Distance (y) 123456 1) 2) 3) 4)

4. Think and Discuss 1) Each point on the line is an equivalent rate. 2) Try This 1) 12 mi/h Hands-On Lab “Graph Proportional Relationships” Activity #2 2) The shape of the graph is a straight line. 3) Yes, the graph a proportional relationship will go through the origin. 3) 4) 60 miles traveled in 5 hours.

5. Objective SWBAT determine the slope of a line and recognize constant and variable rates of change

6. Section 5.3 “Slope and Rates of Change” The SLOPE of a line is a measure of its steepness. It is the ratio of the rise compared to the run. Slope = rise = vertical change run horizontal change run horizontal change

7. Types of Slope y x run rise “Positive slope” y x run rise “Negative slope” The line rises from left to right. The line falls from left to right.

8. Identifying slope of a line Tell whether the slope is positive or negative. Then find the slope. Slope = rise run run 4 6 2 3 = =

9. Identifying slope of a line Tell whether the slope is positive or negative. Then find the slope. Slope = rise run run -6 3 -2 1 = =

10. 1 2 3 4 5 0123456 y-axis x-axis -6-5-4-3-2 -5 -4 -3 -2 Using Slope and a Point to Graph a Line Use the given slope and point to graph the line. slope point Slope of -2 means: -2 means: Slope of -2 means: -2 means: OR

11. 1 2 3 4 5 0123456 y-axis x-axis -6-5-4-3-2 -5 -4 -3 -2 Slope of 2/3 means: 2/3 means: Slope of 2/3 means: 2/3 means: OR slope point Using Slope and a Point to Graph a Line Use the given slope and point to graph the line.

12. 1 2 3 4 5 0123456 y-axis x-axis -6-5-4-3-2 -5 -4 -3 -2 Using Slope and a Point to Graph a Line Use the given slope and point to graph the line. slope point Slope of -3/4 means: -3/4 means: Slope of -3/4 means: -3/4 means: OR

13. Rates of Change the ratio of two quantities. Constant rate of change -describes changes of the same amount during equal intervals. The graph is a LINE. Variable rate of change -describes changes of a different amount during equal intervals. The graph is a NOT a line.

14. Identifying Rates of Change Tell whether each graph shows a constant rate of change or a variable rate of change. If the graph shows a constant rate of change describe it. Variable Constant; Positive slope of 3. Variable Constant; Positive slope of 20mph.

15. Homework Text page 208, #1-20 all, 22-28 evens “Knock Knock…”