Algebra I Module 3, Topic C, Overview

High School Girls Doing Homework

In Topic C, students extend their understanding of piecewise functions and their graphs including the absolute value and step functions.  They learn a graphical approach to circumventing complex algebraic solutions to equations in one variable, seeing them as f(x) = g(x) and recognizing that the intersection of the graphs of f(x) and g(x) are solutions to the original equation (A-REI.D.11).  Students use the absolute value function and other piecewise functions to investigate transformations of functions and draw formal conclusions about the effects of a transformation on the function’s graph (F-IF.C.7, F-BF.B.3).

Downloadable Resources

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Common Core Learning Standards

CCLS State Standard
A.REI.11 Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x...
F.IF.7.a Graph linear and quadratic functions and show intercepts, maxima, and minima.
F.BF.3 Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for...

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