Solving Quadratic Equations

Square Root

Quadratic Formula

Context

Literal Equations

Students will be able to:

·         Distribute

·         Collect like terms

·         Use inverse operations to isolate a variable

o   Apply the Addition & Subtraction Property of Equality.

o   Apply the Multiplication & Division Property of Equality.

o   Apply Properties of Square Roots

·         Verify solutions

Students will be able to:

·         Simplify a quadratic equation by using the Distributive property and collecting like terms

·         Write a quadratic in standard form by moving all terms to the same side of the equation. Accomplish this step by applying the Addition and/or Subtraction Property of Equality

·         Use the Quadratic Formula to solve a quadratic equation

·         Verify solutions

Students will be able to:

·         Write a quadratic equation that represents the area of a polygon

·         Identify the initial velocity, initial and final height of an object in motion

·         Set up and solve a projectile motion equation (position equation)

·         Verify the solutions to a contextual situation and discard inappropriate answers

Students will be able to:

·         Isolate the required variable in a literal equation by using inverse operations:  

o  Apply the Distributive Property

o  Apply the Addition Property of Equality

o  Apply the Subtraction Property of Equality

o  Apply Multiplication Property of Equality

o  Apply the Division Property of Equality

o  Apply Properties of Square Roots

o  Discard inappropriate answers