Algebra 2 Semester B: Transformations of Functions
This module builds off the linear, quadratic, and exponential functions modules in Algebra 1 and Algebra 2. Teachers will learn fundamental patterns of transformations, how to construct function notation for those transformations, how to graph a transformation given the algebraic form, and how to alternate between algebraic, graphical, descriptive, and numerical representations of functions.
Teachers will understand that linear, quadratic, and exponential functions can all be transformed using the same logic and rules.
Teachers will learn how to anticipate the graphs of functions given the algebraic, numerical, or descriptive elements.
Teachers will learn how to factor and why that is useful for quadratic functions.
Teachers will be able to anticipate the graphical representation of a function based on the algebraic expression of a linear, quadratic, or exponential function.
Teachers will believe that conceptual understanding of mathematical topics is a pre-requisite of enduring academic achievement.
Teachers will believe that introducing patterns of function properties through inquiry and problem-solving is essential to impart a deep understanding of how functions can be transformed.
Teachers will believe that situating mathematical content within a context that is both meaningful and relevant to students is essential for students to be able to engage deeply in meaning making with content.