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pecan cookie day! 9.21.22 Prepare to complete the warm-up in your notebook. Warm-up Notes: Average Rate of Change ROC Secret Message Would you rather only watch Hallmark movies or only watch scary movies? Chromebook, Notebook, Pencil, Calculator
Warm Up Directions: Sketch the graph in your notebook. Answer each of the questions using information from the graph and your notes. • The slope of the graph is ______. • The x-intercept is: ( , ) • The y-intercept is: ( , ) • Slope of a parallel line: _______ • Slope of a perpendicular line: ______
Warm Up Directions: Sketch the graph in your notebook. Answer each of the questions using information from the graph and your notes. • The slope of the graph is: -2/3 • The x-intercept is: ( , ) • The y-intercept is: ( , ) • Slope of a parallel line: • Slope of a perpendicular line:
Warm Up Directions: Sketch the graph in your notebook. Answer each of the questions using information from the graph and your notes. • The slope of the graph is: -2/3 • The x-intercept is: (3 , 0) • The y-intercept is: ( , ) • Slope of a parallel line: • Slope of a perpendicular line:
Warm Up Directions: Sketch the graph in your notebook. Answer each of the questions using information from the graph and your notes. • The slope of the graph is: -2/3 • The x-intercept is: (3 , 0) • The y-intercept is: ( 0 , 2) • Slope of a parallel line: • Slope of a perpendicular line:
Warm Up Directions: Sketch the graph in your notebook. Answer each of the questions using information from the graph and your notes. • The slope of the graph is: -2/3 • The x-intercept is: (3 , 0) • The y-intercept is: ( 0 , 2) • Slope of a parallel line: -2/3 • Slope of a perpendicular line:
Warm Up Directions: Sketch the graph in your notebook. Answer each of the questions using information from the graph and your notes. • The slope of the graph is: -2/3 • The x-intercept is: (3 , 0) • The y-intercept is: ( 0 , 2) • Slope of a parallel line: -2/3 • Slope of a perpendicular line: 3/2
Notes - Average Rate of Change Rate of Change/Slope Average Rate of Change
Notes - Average Rate of Change average rate of change Rate of Change/Slope Average Rate of Change
Notes - Average Rate of Change average rate of change To determine the AVERAGE RATE OF CHANGE, locate the two referenced points in the situation. Use them as two ordered pairs and calculate the slope as normal. Rate of Change/Slope Average Rate of Change
Notes - Average Rate of Change average rate of change To determine the AVERAGE RATE OF CHANGE, locate the two referenced points in the situation. Use them as two ordered pairs and calculate the slope as normal. The average rate of change is used in situations that don’t have a constant rate of change - meaning they are not linear situations. Rate of Change/Slope Average Rate of Change
Notes - Average Rate of Change These are the two points being referenced in the question.
Notes - Average Rate of Change After locating the two needed points, write them as ordered pairs.
Notes - Average Rate of Change Subtract y’s on top and subtract x’s on bottom.
Notes - Average Rate of Change Simplify with subtraction
Notes - Average Rate of Change Divide to get the final answer. The answer does not need to be a whole number. Fractions and decimals are permitted - just be sure to look at the context of the question.
Notes - Average Rate of Change Write out the final answer with units included.
Notes - Average Rate of Change Determine the average rate of change. Interpret by writing your answer in a sentence.
Notes - Average Rate of Change Take the information from the scenario and write two ordered pairs.
Notes - Average Rate of Change Calculate the slope.
Notes - Average Rate of Change Write the answer, including the units.
Notes - Average Rate of Change There are different ways that you can write the answer.
Notes - Average Rate of Change These are the two points being referenced in the question.
Notes - Average Rate of Change Calculate change in y over change in x.
Notes - Average Rate of Change Simplify with subtraction.
Notes - Average Rate of Change Divide to get the final answer. The answer does not need to be a whole number. Fractions and decimals are permitted - just be sure to look at the context of the question.
Notes - Average Rate of Change Notice that in this question there is no situation given. In this case, we write the answer numerically, without units necessary.
Notes - Average Rate of Change Determine the average rate of change. Interpret by writing your answer in a sentence.
Notes - Average Rate of Change Determine the average rate of change. Interpret by writing your answer in a sentence. Notice that this one is linear, so it does not matter which two points are chosen. The rate of change is constant.
Practice - Average Rate of Change These are the two points being referenced in the question.
Practice - Average Rate of Change After locating the two needed points, write them as ordered pairs.
Practice - Average Rate of Change Subtract y’s on top and subtract x’s on bottom.
Practice - Average Rate of Change Simplify with subtraction.
Practice - Average Rate of Change Divide to get the final answer. The answer does not need to be a whole number. Fractions and decimals are permitted - just be sure to look at the context of the question.
Practice - Average Rate of Change Rounding would be fine here since the situation talks about people. The average rate of change from 2010 to 2015 was about 1210 people per year. (Must include units!!)
Practice - Average Rate of Change Determine the average rate of change. Interpret by writing your answer in a sentence.
Practice - Average Rate of Change Determine the average rate of change. Interpret by writing your answer in a sentence. Notice that this one is linear, so it does not matter which two points are chosen. The rate of change is constant.
