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Grades 9/10/11 Quadratic Relations
Graphs and tables. Standard, factored, and vertex forms. Algebra of quadratic relations. Quadratic equations. Intersections of lines and parabolas.
This is one of seven strands of the CEMC Grade 9/10/11 courseware. The other strands and more information about this courseware is available on the Grade 9/10/11 homepage.
Units
Unit 1: Basic Properties of Quadratic Relations
Unit 2: Algebraic Representations of Quadratic Relations
This lesson focuses on the algebraic representation of a quadratic relation in standard form, and how this representation relates to the second differences, graphs, and other algebraic representations of the relation.
In this lesson, students will investigate the factored form equation of a quadratic relation.
In this lesson, students will investigate the vertex form equation of a quadratic relation. We will use vertex form equations to solve a variety of problems and see how to convert a factored form equation to a vertex form equation.
All of the pencil and paper practice exercises, answers, and solutions for this unit are reproduced here.
This is a collection of additional, and sometimes challenging, problems that extend the material covered in this unit, connect material from different lessons, and further explore real-world applications.