Common Core Math - HS Functions

Lesson Plan

Graph exponential, logarithmic, and trigonometric functions

Goals / Objectives

Graph exponential functions f(x) = a*b^x, identifying the y-intercept, horizontal asymptote, domain, range, and growth/decay behavior

Distinguish between exponential growth (b > 1) and exponential decay (0 < b < 1) from both the equation and the graph

Graph logarithmic functions f(x) = log_a(x), identifying the x-intercept, vertical asymptote, domain, range, and end behavior

Recognize the exponential and logarithmic functions as inverses and connect their graphs via reflection over y = x

Graph trigonometric functions y = A sin(Bx) + D and y = A cos(Bx) + D, identifying amplitude, period, and midline

Use the parameters A, B, and D to transform the parent sine/cosine graph and label key features

Standards

HSF.IF.C.7.e

HSF.IF.C.7.e: Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

Academic Vocabulary

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Accommodations

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Anticipatory Set / Bell Work

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Check for Understanding

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Guided Practice

Independent Practice