The student understands that linear functions can be represented in different ways and translates among their various representations. Clarifying Activity Students discuss the following problem and determine the reasonable domain and range values. Russell does yard work on the weekends to earn spending money. The student understands that linear functions can be represented in different ways and translates among their various representations. Students make a table showing the relationship between the number of hours worked and money earned.
Students plot the data on a graph and determine the line of best fit.
Students determine the function that describes the line of best fit. The student understands the meaning of the slope and intercepts of linear functions and interprets and describes the effects of changes in parameters of linear functions in real-world and mathematical situations. Clarifying Activity Students walk up a ramp and mark where they make their first step, their second step, and so forth. Then they measure and record the horizontal and vertical distances between each of their steps and express the steepness of the ramp as a ratio of the measure of vertical change to the measure of horizontal change. Here is a picture of a storefront.