analyze real-world applications and Writing in Math quantitative relationships. Discuss one disadvantage to using point plotting as a method for graphing functions. Essential Question(s) How can you represent and describe Explain how to use a function’s graph to find functions? the function’s domain and range. How can functions describe real-world situations, model predictions and solve Explain how the vertical line test is used to problems? determine whether a graph is a function. Objective(s): Students will determine whether a function is even, odd, or neither. Students will determine intervals where a function is positive or negative. Students will determine where a function is increasing or decreasing. Students will identify the maximum and minimum values of a function. Students will develop a formula to calculate rates of change for any function. Domain: Building Functions Enduring Understanding(s) 2.6 The Toolbox Function (Coburn) Vocabulary Cluster: Build new functions from existing Relations and functions can be 2.5 Transformations of Functions (Blitzer) functions. represented numerically, graphically, Writing in Math algebraically, and/or verbally. F-BF.A.1 Understand how the algebraic What must be done to a function’s equation properties of an equation transform the The properties of functions and function so that its graph is shifted vertically upward? geometric properties of its graph. operations are used to model and analyze real-world applications and What must be done to a function’s equation quantitative relationships. so that its graph is shifted horizontally to the right? Essential Question(s) How can you represent and describe What must be done to a function’s equation functions?
analyze real-world applications and quantitative relationships. Essential Question(s) How can you represent and describe functions? How can functions describe real-world situations, model predictions and solve problems? Objective(s): Students will determine whether a function is even, odd, or neither. Students will determine intervals where a function is positive or negative. Students will determine where a function is increasing or decreasing. Students will identify the maximum and minimum values of a function. Students will develop a formula to calculate rates of change for any function. Writing in Math Discuss one disadvantage to using point plotting as a method for graphing functions. Explain how to use a function’s graph to find the function’s domain and range. Explain how the vertical line test is used to determine whether a graph is a function. Domain: Building Functions Cluster: Build new functions from existing functions. F-BF.A.1 Understand how the algebraic properties of an equation transform the geometric properties of its graph. Enduring Understanding(s) Relations and functions can be represented numerically, graphically, algebraically, and/or verbally. The properties of functions and function operations are used to model and analyze real-world applications and quantitative relationships. Essential Question(s) How can you represent and describe functions? 2.6 The Toolbox Function (Coburn) 2.5 Transformations of Functions (Blitzer) Vocabulary Writing in Math What must be done to a function’s equation so that its graph is shifted vertically upward? What must be done to a function’s equation so that its graph is shifted horizontally to the right? What must be done to a function’s equation