Download Math 2 Unit 3: Analyzing Quadratic Functions Algebraically and

Math 2
Unit 3: Analyzing Quadratic Functions Algebraically and
Complex Numbers
Lesson 3-1: Intro to Designing Parabolas
 I can identify which parts of the function indicate, if applicable, the function’s y-intercept,
x-intercept(s), increasing intervals, decreasing intervals, minimums, maximums, symmetries, end
behaviors.
Lesson 3-2: Designing Parabolas
 I can identify which parts of the function indicate, if applicable, the function’s y-intercept, xintercept(s), increasing intervals, decreasing intervals, minimums, maximums, symmetries, end
behaviors.
 I can apply the zero product property to find the zeros of a quadratic function written in factored
form.
 I can write the equation that describes a quadratic function in factored form when I am given a graph
with the x-intercept(s) and another point on the graph.
Lesson 3-3: Introduction to Factoring
 I can explain why equivalent expressions are equivalent (i.e.: expanded = factored).
 I can recognize and solve quadratic equations using difference of squares.
Lesson 3-4: Solving Quadratic Equations by Factoring
 I can factor a quadratic equation (ax2+bx+c = 0, when a = 1) to find the zeroes of the function it
represents.
 I can recognize and solve quadratic equations using the difference of squares.
 I can solve quadratic equations with real numbers as coefficients by inspection (graphing), by
finding square roots, and by using the zero-product property.
 I can demonstrate that the standard, factored, and vertex forms of the same quadratic function
produce the same values for the x-intercepts, the y-intercept, and the vertex.
 I can write the equation that describes a parabola in standard form when I am given a graph with the
x-intercepts, y-intercepts, and vertex labeled.
 I can factor a quadratic equation (ax2+bx+c = 0) to find the zeroes of the function it represents.
Lesson 3-5: Solving Quadratic Equations by Completing the Square
 I can complete the square of ax2+bx+c = 0 to write the quadratic in vertex form: (x − p)2 = q.
 I can complete the square to rewrite a quadratic expression (ax2+bx+c) in vertex form: a(x − h)2+k.
 I can derive the quadratic formula by completing the square of ax2+bx+c = 0.
 I can solve quadratic equations with real numbers as coefficients by completing the square.
OVER 
Lesson 3-6: Solving Quadratic Equations with the Quadratic Formula
 I can solve quadratic equations with real numbers as coefficients by inspection (graphing) and by
using the quadratic formula.
 I can determine the number of solutions for a quadratic equation in standard form, ax2+bx+c = 0, by
calculating the discriminant.
 I can explain that complex solutions result when the radicand is negative in the quadratic formula
(b2− 4ac < 0).
 I can determine when a quadratic equation in standard form, ax2+bx+c=0, has complex roots by
looking at a graph of f(x) = ax2+bx+c or by calculating the discriminant.
 I can identify that i is a complex number where 𝑖 2 = -1 and 𝑖 = √−1.
 I can write complex number solutions for a quadratic equation in the form a + bi by using i =√−1.