AU5 Solving Quadratic Equations

Unit 5
Equations

Concept 1:
Factoring Method

Concept 2:
Square Root Method

Concept 3:
Quadratic Formula Method

Lesson Essential Questions:

How do you factor out the GCF of a quadratic function?

How do you factor quadratic trinomial with a leading coefficient of one?

How do you factor a quadratic trinomial with a leading coefficient not equal to one?

How do you solve a quadratic equation by factoring?

Lesson Essential Questions:

How do you simplify square roots?

How do you solve a quadratic equation using the square root method?

How do you simplify expressions involving complex numbers?

How do you change a quadratic function from standard form to vertex form?

Lesson Essential Questions:

What does the discriminant tell you about a quadratic equation?

How do you solve a quadratic equation using the quadratic formula?

How do you decide which method is best when solving quadratic equations?

 

Vocabulary:
monomial, binomial, trinomial, leading coefficient, factoring, GCF, prime factors, perfect square trinomial, difference of squares

Vocabulary:
radical, radicand, index, imaginary number, complex number, conjugate pair

Vocabulary:
discriminant, quadratic formula