Key Learning: The parent graph of an absolute value function is a “V” shape with its vertex at the origin; it can be modified by rigid or non-rigid transformations. The vertex represents the maximum or minimum value of the function. Absolute value equations and inequalities can be used to model real world problems.
Unit Essential Question: How do transformations change the graph of an absolute value function?
Concept 1: Graphing Absolute Value Functions
Concept 2: Inequalities & Systems of Inequalities
Lesson Essential Questions: Why is the shape of an absolute value function different from the shape of a linear function when graphed? How do you determine the maximum or minimum of an absolute value function? How do you use rigid and non-rigid transformations to sketch the graph of an absolute value function? How do you write the equation of an absolute value given its graph? How do you write the equation of an absolute value given its vertex and a point on the graph?
Lesson Essential Questions: How do you graph a linear inequality in two variables? How do you graph an absolute value inequality in two variables? How do you graph the solution of a system of inequalities?
Vocabulary: absolute value, vertex, maximum, minimum, rigid, non-rigid, symmetry, transformations, translation, reflection, dilation
Vocabulary: system of inequalities