1. Finish worksheet from class
 Today Is…
Monday,
Jan 29
DO NOW:
Get 2 worksheets from the table
Glue ½ sheet into MSG
Get out homework (slope from graph worksheet
Warm-up
Find the slope from the graphs below:
(1) (2)
Announcements:
*Get graph paper
* Skills check on slope Thurs 2/1
HW:
Finish worksheet from class
Today in class students will be learning…. Today I am learning slope because it is used in road construction, calculating savings accounts, and speeds necessary for a train to climb a hill.

2. Rate of Change
Rate of change is a ratio that compares the amount of change in the y value to the amount of change in the x value.
𝑣𝑒𝑟𝑡𝑖𝑐𝑎𝑙 𝑐ℎ𝑎𝑛𝑔𝑒 ℎ𝑜𝑟𝑖𝑧𝑜𝑛𝑡𝑎𝑙 𝑐ℎ𝑎𝑛𝑔𝑒 = 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑖𝑛 𝑦 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑖𝑛 𝑥 = 𝑟𝑖𝑠𝑒 𝑟𝑢𝑛

3. Rate of Change
For a straight line, we also know another name for the rate of change. What is that name?
The constant rate of change of a line is called the slope of a line

4. Review:
You can identify a linear function by looking at a table. In a linear function, a constant change in x corresponds to a constant change in y.
Determine whether the relationship between the two quantities described in each table is linear. X Y -2 7 -1 4 1 2 -5

5. Rate of Change:
Given slope = 𝑟𝑖𝑠𝑒 𝑟𝑢𝑛 = 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑖𝑛 𝑦 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒 𝑖𝑛 𝑥 , determine the slope from the table.

6. Rate of Change:
Determine if the function is a linear function. If it is, give the slope of the line and describe the slope of the line as positive, negative, zero, or undefined. X Y -2 6 -1 3 2 1

7. Rate of Change:
Determine if the function is a linear function. If it is, give the slope of the line and describe the slope of the line as positive, negative, zero, or undefined.
Time (min)
Distance (miles) 10 1 20 2 30 3 40 4 50 5

8. Rate of Change:
Determine if the function is a linear function. If it is, give the slope of the line and describe the slope of the line as positive, negative, zero, or undefined. x y -2
0.5 -1 1
1.5 2
2.5

9. Rate of Change:
Determine if the function is a linear function. If it is, give the slope of the line and describe the slope of the line as positive, negative, zero, or undefined. x y 1 -4 -1 2 5 8

10. Work Session
Complete the “Constant Rate of Change and Finding Slope from a Table” Worksheet

11. Finding Slope from two points

12. Finding Slope from two points
Slope formula: m= 𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1 1. Find the slope using points (2, 2) and (-5, 4)

13. Finding Slope from two points
Slope formula: m= 𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1 2. Find the slope using points (3, 9) and (-5, 3)

14. Finding Slope from two points
Slope formula: m= 𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1 3. Find the slope using points (5, 5) and (4, 2)