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Unit #3 - Quadratic Functions and Their Algebra

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At 17 lessons, this is the longest unit of the e-text.  Quadratic functions and their algebra are explored through a variety of topics.  Students use graphing calculator technology to explore the turning points, intercepts, and geometric transformations of parabolas.  Fundamental algebra, such as multiplication of polynomials and factoring using primary methods is intelligently drilled.  The Zero Product Law and its applications are stressed, including quadratic modeling and quadratic inequalities.  The new technique of completing the square is introduced, primarily to investigate the shifting of parabolas.  Finally, equations of circles and absolute value equations and inequalities are covered and tied into quadratic analysis.

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Download the Complete Unit #3 Version 1.5

Or download individual Unit #3 lessons below from Version 1.5.

Lesson #1 - Introduction to Quadratic Functions

Lesson #2 - Multiplying Monomials and Binomials

Lesson #3 - Factoring

Lesson #4 - Factoring Trinomials

Lesson #5 - Complete Factoring

Lesson #6 - More Practice with Complete Factoring

Lesson #7 - The Zero Product Law

Lesson #8 - Curve Sketching Quadratics

Lesson #9 - Quadratic Inequalities in One Variable

Lesson #10 - Quadratic Inequalities in Two Variables

Lesson #11 - Modeling with Quadratic Functions

Lesson #12 - Shifting Parabolas and Completing the Square

Lesson #13 - Reflecting Parabolas

Lesson #14 - Vertical Dilation of Functions

Lesson #15 - Equations of Circles

Lesson #16 - Absolute Value Graphs and Equations

Lesson #17 - Absolute Value Inequalities

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