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Do Now (5 min ) CODE YELLOW. SLOPE – DAY 3 . Goals for the Day: Do Now Define slope Determine slope from graphs (interpreting) Graph line given point and slope Slope formula (including horizontal and vertical)
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SLOPE – DAY 3 Goals for the Day: • Do Now • Define slope • Determine slope from graphs (interpreting) • Graph line given point and slope • Slope formula (including horizontal and vertical) • Identify graphs given the slope and a pointDescribe the slope of the line in terms of data (recognizing rate of change)
CODE YELLOW Notes: Linear Functions (LG #2, 5 min) Objective: write equations of lines, graph functions Essential Questions (write under Key Points): • How do I calculate slope? • How do I write an equation in slope-intercept, point slope and standard form? • How do I graph in slope-intercept and standard form?
CODE YELLOW Notes: Calculating Slope given 2 points 4 Types of Slope: Negative Positive Zero Undefined (a) (-5,2) and (-5,7) (c) (3,1) and (-4,1)
CODE YELLOW Notes: Calculating Slope given 2 points 4 Types of Slope: Negative Positive Zero Undefined #1 (4,-3), (4,2) #2 (5.33, 2.13), (-8.23, 9.4) #3 #4 (-1,-3), (5,-3)
CODE YELLOW Notes: Determine Slope given a graph #1 #2
CODE YELLOW Notes: Determine Slope given a graph #3 #4
CODE YELLOW Notes: Determine Slope given a graph #5 #6 #7
CODE YELLOW Identify the graph that has: • A slope of 3/2 and a y-intercept of 1 • A slope of 0 and a y-intercept of 0 • A slope of ¼ and a y-intercept of -3 I. II. III. ANSWERS: A. I B. III C. II
CODE YELLOW You try it now • Identify the graph that has: • A slope of 5 and a y-intercept of-2 • A slope of 1/3 and a y-intercept of 3 • A slope of 1 and a y-intercept of 0 • I. II. III. ANSWERS: A. III B. II C. I
CODE YELLOW What are the units?
CODE YELLOW Describe the meaning of the slope for each graph.
CODE YELLOW Data WHAT?! David is training for a marathon. He writes down the time and distance for each training run and then records the data on a scatter plot. He has drawn a line of best fit on the scatter plot, as shown below. • Which statement best expresses the meaning of the slope as a rate of change for this line of best fit? • A. It represents the number of miles he will have to run to finish the marathon. • B. It represents the average speed, in miles per hour, of his training runs. • C. It represents the number of hours he will need to finish the marathon. • D. It represents the distances, in miles, that he ran while he was training.
CODE YELLOW Your Turn Ryan is writing a composition for homework. He decides to keep track of the number of sentences he writes compared to the time in minutes he works. The graph below shows the data he collected. • At what rate does Ryan write his composition? • 0.5 sentence per minute • 1 sentence per minute • 1.5 sentences per minute • 2 sentences per minute
CODE GREEN Classwork: Slope Practice Problems: p. 96 #11-25 odd p. 97 #34, 37 Challenge: pg. 97 #48, 42, 38, 45
CODE GREEN For each graph, describe the slope as a rate of change using words. 3) 2) 1)
Exit Ticket #3 1. What is the slope of the line that contains the points (1,-1) and (-2,8)? 4. Nayra has started her own tutoring business in order to earn extra money to buy a camera. The graph to the right represents Nayra’s tutoring fees. What does the slope of the line represent? 2. What is the slope of ? 40 3. What is the slope of the line below? 30 Fee (in dollars) 20 10 0 1 2 3 4 Time (in hours)