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Slide 2 Lesson Two Slide 3 WARM UP Speed (m/s) 09.819.629.439.249.0 Time (s) 012345 Slide 4 In your spiral notebook, write down as many real life examples of slope as you can. Slide 5 Slide 6 Slide 7 The diagram at the right shows the side view of a ski lift. 1.What is the vertical change from: a. A to B? b.B to C? c.C to D? 2.What is the horizontal change from: a.A to B? b.B to C? c.C to D 3.Find the ratio of the vertical change to the horizontal change for each section of the ski lift. 4.Which section is the steepest? 10 feet 40 feet 10 feet 30 feet A 1 B 4 C 1 B 3 C 3 D 3 = ; = ; = B to C Slide 8 The Magnum Cedar Point, OH Ghost Rider Knotts Berry Farm Xcelerator Knotts Berry Farm Superman 6 Flags Magic Mountain Son of Beast Kings Island, OH How steep is the steepest roller coaster? These are completely vertical! Slide 9 Imagine a roller coaster moving from LEFT to RIGHT Slide 10 There are four different kinds of slope the coaster could encounter... Slide 11 Slide 12 Slide 13 And 2 Special Cases The zero- fun coaster The impossibly scary coaster What kind of slope are they? Slide 14 Thats a really scary coaster, so the slope is Slide 15 Aw! Thats zero fun! Slide 16 For the following slides, call out whether the slope is positive, negative, zero, or undefined. Wait for the count of 3 before you say your answer! Slide 17 positive Slide 18 undefined Slide 19 negative Slide 20 zero Slide 21 How do you calculate the slope of a line? 1. Pick two points on the line. 2. Calculate rise over run. 3. Determine the sign. Slide 22 Start with 2 points on gridline intersections Step 1: Slide 23 How do you calculate the slope of a line? OR... Slope = Vertical change Horizontal change m Rise Run Slope = m Rise Run Step 2: Slide 24 What sign is it? Look to see if the slope is increasing Or decreasing Show me! Step 3: Slide 25 Model # 1: Watch me do the three steps Step 1: Choose 2 points Rise = 2 Run = 1 Rise Run 2 1 m = 2 Step 3: Determine the sign positive Slope = Rise Run Step 2: + Slide 26 Model # 2: Watch me do the three steps Step 1: Choose 2 points Rise = 1 Run = 3 Rise Run 1 3 m = 1/3 Step 3: Determine the sign negative Slope = Rise Run Step 2: - Slide 27 Find the slope of this line Rise = 1 Run = 3 Rise Run negative Slide 28 Practice # 3: Find the slope of this line Rise Run Rise = 3 Run = 2 + Slide 29 Tell your partner... What are the steps to find the slope of a line from a graph? Calculate rise over run. Look at the line to see if the slope is positive or negative. Slide 30 Classwork Work with your partner to complete the worksheet. Find the slope of the line by using RISE over RUN. Write the slope down next to graph. You may want to draw in the rise and run. Slide 31 The constant rate of change of a line is called the slope of the line. Slide 32 Types of slope: positive slope negative slope undefined slope zero slope Slide 33 dependent variable Y independent variable X The y value depends on the x value.