Title: Zero Product Property
The zero product property allows you to solve a quadratic equation by converting it into two linear equations. This is a common strategy of algebra- to break down a problem into simpler parts, each solved by previously learned methods.
Standard(s): [MA2015] AL1 (9-12) 18: Solve quadratic equations in one variable. [A-REI4]
Title: Discover the Roots of a Polynomial Function
In this lesson, students will be re-introduced to the Four Step Problem - Solving Plan. The plan will be used as a 'checks and balance' tool for discovering the roots (solutions) of polynomial functions. Students will:
*Explore the problem - identify what is given and what they are asked to find.
*Develop a plan - look for a pattern, make a model, solve a simpler but related problem.
*Solve the problem - carry out the plan
*Examine the solution - check the results with the conditions in the problem, check the reasonableness of the solution
Standard(s): [MA2015] AL2 (9-12) 17: Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. [A-APR3]
Title: Family Ties: Parabolas
This lesson allows students to manipulate the parameters while using the vertex form of the equation of a parabola to see the effects on the graph. The spreadsheet can be altered for other functions.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
Standard(s): [MA2015] AM1 (9-12) 11: (+) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials. Understand the importance of using complex numbers in graphing functions on the Cartesian or complex plane. [N-CN9] (Alabama)
Title: Classifying Complex Numbers
This lesson helps students distinguish between strictly complex numbers, strictly real numbers and strictly imaginary numbers while learning that real numbers and imaginary numbers are subsets of the set of complex numbers.
Standard(s): [MA2015] PRE (9-12) 1: (+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary numbers), and explain why the rectangular and polar forms of a given complex number represent the same number. [N-CN4]