Algebra 2 + Trigonometry

Unit 3 – Quadratic Functions and Their Algebra

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.