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.

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

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

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

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

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

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

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

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

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

Finding Slope from two points https://www.youtube.com/watch?v=UdrUmuLHWvo

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)

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)

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)