Unit 5: Quadratic Functions
Essential Questions:
- How can we solve quadratic equations analytically and graphically?
- What are the three different forms of quadratic equations?
- What are imaginary numbers and what are their basic properties?
Content:
- Solving quadratic equations
- Graphing quadratic equations
- Expressing quadratic equations in the three forms
- Basic properties of imaginary numbers
Skills and Processes:
-
Solving quadratic equations by factoring, completing the square, graphing, and the quadratic formula
-
Expressing quadratic functions in standard, vertex, and factored forms
-
Using the discriminant to find the number of roots of a quadratic equation
-
Defining an imaginary number
-
Adding and multipling imaginary numbers and finding their absolute value and complex conjugate