Quadratic Equations
Interpret the structure of expressions * Solve equations and inequalities in one variable * Analyze functions using different representations * Write expressions in equivalent forms to solve problems
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Topics
Topics
- Introduction to Quadratic Equations: Standard Form, Axis of Symmetry, Vertex, Minimum, Maximum
- Graphing Quadratic Equations
- Vertex Form of Quadratic Equation; Transformations
- Quadratic Roots and the Discriminant
- Solving Quadratics by Factoring
- Solving Quadratics by Square Roots
- Solving Quadratics by Completing the Square
- Solving Quadratics by the Quadratic Formula
- Applications
Prerequisites
Prerequisites
- Evaluating expressions
- Graphing functions
- Evaluating function rules
- Factoring
Goals
Goals
- Distinguish between quadratic functions and quadratic equations
- Factor quadratic expressions
- Solve quadratic equations by factoring
- Solve quadratic equations by finding the square roots
- Solve quadratics equations (leading coefficient of 1 only) by completing the square
- Solve quadratic equations using the quadratic formula
- Solve algebraic proportions that result in quadratic equations using any algebraic method
- Graph quadratic functions in standard form by finding the vertex, axis of symmetry, and intercepts
- Solve real world application problems related to quadratic functions
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