Quadratic Equations and Inequalities
Quadratic Equations and Inequalities introduces students to the graphs of quadratics, teaches them to find the vertex, intercepts, discriminant, domain and range and interpret the graph in relation to these qualities. It also introduces students to the focus and directrix of parabolas, how to use a sign number line to find the shape of a graph, and other topics that might be found as exercises in homework. Topics include:
- Dilations of Quadratic Graphs
- Vocabulary of Quadratic Polynomials
- Solving Quadratic Equations by Factoring
- Solving Quadratic Equations Using Square Roots
- Solving a Quadratic by Completing the Square
- Deriving the Quadratic Formula
- Overview of the Different Methods of Solving a Quadratic Equation
- The Discriminant of a Quadratic Equation
- Solving Quadratic Equations in Disguise
- Introduction to Parabolas
- Finding the Vertex of a Parabola by Completing the Square
- Finding Intercepts, Domain, Range and Vertex of a Parabola
- Finding the Maximum or Minimum of a Quadratic
- Graphing a Horizontal Parabola
- Graphing a Quadratic Inequality
- Solving a Quadratic Inequality using a Sign Chart
- Focus and Directrix of a Parabola