SWBAT…interpret the meaning of slope (rate of change) Mon, 12/13 Agenda 1.WU (10 min) 2.Review hw#1 (10 min) 3.Slope as rate of change – 4 examples (25.

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SWBAT…interpret the meaning of slope (rate of change) Mon, 12/13 Agenda 1.WU (10 min) 2.Review hw#1 (10 min) 3.Slope as rate of change – 4 examples (25 min) Warm-Up: 1.) Write the hw in your planner for the week 2.) Find the value of r so that the line through (r, 6) and (10, -3) has a slope of -3/2. 3.) A horizontal lines passes through (2, 5). What other point does the line contain? A.(2,3) B.(0,5) C.(5,10) D.(0,2) HW2: Slopes of lines

SWBAT…interpret the meaning of slope (rate of change) 1 st: Tues, 12/14 Agenda 1.WU – back of agenda problems (10 min) 2.Review back of agenda problems (5 min) 3.Slope interpretations – hw#2 (30 min) Warm-Up: 1.) Do the back of this week’s agenda problems HW2: Slopes interpretations / Quiz tomorrow

SWBAT…interpret the meaning of slope (rate of change) 2nd : Tues, 12/14 Agenda 1.Review back of agenda problems (10 min) 2.Slope interpretations-hw#2 (15 min) 3.Slope-intercept form (20 min) Warm-Up: 1.) Take out back of agenda problems 2.) Take out hw#1: Slope HW2: Slopes interpretations / Quiz tomorrow

Examples with slope as the rate of change

Example 1: Find the rate of change. Explain what the rate of change means.

1.What is the slope of the line? 2.What is the meaning of the slope? 3.What is the y-intercept? 4.What is the x-intercept? 5.Write the equation of the line. Example 2:

1) What is the slope of the line from 0 to 400 minutes? -What does this mean? 2) What is the slope of the line from 400 to 800 minutes? -What does this mean? Minutes on the phone (minutes) Fee ($) Example 3:

Example 4: Sam had 5 gallons of gasoline in his bike. After driving 100 miles, he had 3 gallons left. a.Find the slope of the line b.What does this slope tell us?

Slope as the rate of change a. Find the slope of the line Slope = rise/run = -2/100 = -1/50 b. What does this slope tell us? Since -1/50 = -0.02, we know that Sam’s bike is burning 0.02 gallons of gasoline for every mile that he travels. (The negative value of the slope tells us that the amount of gasoline in the tank is decreasing.)

Non-Linear Equations

Work on hw#2: Interpreting slope & intercepts for 15 minutes… Afterwards, we will move on to slope-intercept form

1.) What is the slope? 2.) What is the meaning of the slope? 3.) What is the y-intercept (write as an ordered pair) 4.) What is the meaning of the y-intercept? 5.) Write the equation of the line (y = mx + b).

HW#2: Interpreting Slope & Intercepts 2.) Cost per day 3.) Cost per print Back 1.)E 2.) A 3.) B 48.) C 49) D