Concepts for the Unit:
· Interpret slope as rate of change.
· Determine the meaning of slope and y-intercept in a given situation.
· Graph equations in the form of y = mx + b and Ax+By=C.
· Graph the solution set of a linear inequality, identifying whether the solution set is an open or closed half plane.
· Determine the equation of a line given a graph, numerical information that defines the line or a context involving a linear relationship.
· Solve problems involving linear relationships by gathering the data, graphing the data as a scatter plot, determining line of best fit, writing its equation, and interpreting the solution of the equation in the context of the original problem.
Word Wall Defined:
Constant Function: horizontal line (y=#)
Line of best fit: the line that best represents the trend established by the points in a particular scatter plot.
Linear Inequality: an inequality in two variables for which the graph of the solutions form a half-plane on one side of a line and may or may not include the line itself.
Rate of change (slope): a ratio that compares the amount of change in a dependent variable to the amount of change in an independent variable.
Slope: the steepness of a line represented by the variable m, which may be calculated by finding the ratio of the difference between the y values of two points in the line to the difference between the corresponding x values of those two points.
Slope-intercept form: one way to write an equation of a line; uses the form y= mx+b, where m is the slope and b is the y-intercept.
Standard Form: a linear equation in the form Ax + By = C, where A, B, and C are constants.
Y-intercept: the y coordinate of a point where a graph crosses the y-axis. The y-intercept is represented by the variable b.
Undefined Slope: vertical line (x=#)
Comments