Topic | Mastery Objective
Students will be able to... | Video |
Survey | Khan Academy Practice |
Classwork/ Answer Keys |
Quadratic Modeling...
Using Matrices Using Differences |
determine if a quadratic function can model a set of points or a sequences of numbers.
write a quadratic equation to model a set of values when appropriate using a system of equations.
write a quadratic equation to model a set of values when appropriate using an "off-by" table. |
|
|
|
|
Vertex Form of Quadratic Functions
|
write the equation of a parabola in vertex form from its graph.
graph a parabola given a quadratic function in vertex form. |
|
|
|
|
Completing the Square
|
change a quadratic function written in standard form into vertex form by "completing the square."
|
|
|  a=1 a ≠ 1 |
|
Standard Form of Quadratic Functions
|
graph a parabola given a quadratic function in standard form.
rewrite the standard form of a quadratic function in vertex form. |
|
Questions Only
|  Standard Form
Standard Form |
|
Review for Quiz
| |
| | | 
|
Factoring Quadratic Expressions Exploration
An Introduction
An Alternative Method for Factoring Non-Monic Quadratics
Special Examples*
|
factor any quadratic expression. |
| |
1-Variable
2-Variable |
|
Factored Form of Quadratic Functions
|
write the equation of a parabola in factored form from its graph.
graph a parabola given a quadratic function in factored form. |
|
| |
|
Complex Numbers
Introduction
Graphing
Adding/Subtracting
Multiplying & Dividing |
classify numbers in the following categories: complex, real, imaginary, rational, irrational, integers, whole numbers and natural numbers.
indicate where complex numbers are on the number plane and determine their absolute value.
calculate powers of i.
add, subtract, multipy and divide complex numbers.
recognize that multiplying a number by i, rotates the number on the number plane 90 degrees counterclockwise. |
|
|  add/subtract
multiplying
|
|
The Quadratic Formula
|
derive the quadratic formula.
calculate the discriminant of a quadratic equation to determine the type of roots it has.
use the quadratic formula to solve for the roots to a quadratic equation.
|
Homework Worksheet
| |
|
|
Quadratic Applications | write the equation for an object's height as a function of time based on the projectile motion formula.
optimize a given variable provided that it can be modeled with a quadratic expression.
| |
| |
|
Solving Quadratic Equations
|
solve for the roots of any quadratic equation using one of the following methods: completing the square, using the quadratic formula, factoring, or graphing. |
|
|  a=1
|
|
Review for Test
| |
| | | |