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A2-F-2-4

Page history last edited by Tashe Harris 6 years, 2 months ago

A2.F.2.4 Apply the inverse relationship between exponential and logarithmic functions to convert from one form to another.

In a Nutshell

Students will apply the inverse relationship between exponential and logarithmic functions to convert equations from one form to another, to evaluate simple logarithms mentally and to aid in the process of solving exponential and logarithmic equations.

Student Actions	Teacher Actions
Students will demonstrate a deep and flexible conceptual understanding of the inverse relationship between exponential and logarithmic functions, algebraically and graphically. Students will develop procedural fluency for computations of logarithms based on the inverse relationship between exponential and logarithmic expressions using mental math.	Identify what counts as evidence of students’ understanding of the inverse relationship between exponential and logarithmic functions, algebraically and graphically. Pose purposeful questions that provide students with opportunities to apply the inverse relationship between exponential and logarithmic functions to convert from one form to another.
Key Understandings	Misconceptions
Conceptual: Know that x = by is the inverse of y = bx. Know that x=b^y is equivalent to log_b x = y. The base of log x is 10, and the base of ln x is e	Procedural: Students do not understand how to change an equation or expression from exponential form to logarithmic form or vice versa. Students do not know when to use the inverse relationship between exponents and logarithms to solve equations Conceptual: Students do not know the bases of the common (base 10) and natural (base e) logarithms.