Lesson 3: 1-3 Rate of Change and Slope

The rate of change is a ration that compares what two quantities?
For linear functions, how do you find the rate of change?
What is another name for the average rate of change?

rate of change
slope

F.IF4 For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship
F.IF.6 Calculate and interpret the average rate of change of a functions over a specified interval. Estimate the rate of change from a graph

SAT questions related to slope: 8-3-13,6-3-1,5-4-7,8-3-19,7-4-17,1-3-6,3-4-8; systems: 4-3-16,1-3-18,1-3-9,2-3-2,8-3-18,6-4-11,7-3-3,1-3-11,7-4-11,1-4-19,8-3-10,2-4-29,2-3-20,3-3-9; writing equations: 5-4-11,4-3-8,8-4-7,1-3-12,7-3-19; inequalities: 5-4-13,7-4-5,4-4-19,8-3-6,1-4-28,5-3-7,6-3-14

The steepness of a line is measured by its slope. The slope of a nonvertical line is found by identifying two points on the line and using the slope formula

Using d=rt to relate the total distance a car has traveled over various time intervals

Make sure students can tell the difference between a positive and a negative slope

If students have a hard time relating 0 to a horizontal line, they can remember that horizontal has and o in it, while vertical does not.

Use McGraw Hill Resources

Use McGraw Hill Resources