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: Exponential Growth and Decay
This lesson on exponential growth and decay involves a variety of teaching resources. There are a variety of websites used to teach and reinforce how to identify exponential growth or decay and how to solve problems relating to growth and decay. There is a lab provided that will help model these concepts being taught and computer based practice on these concepts. Videos are provided that give a picture image of how exponential growth and decay works. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Standard(s): [MA2015] PRE (9-12) 25: Compare effects of parameter changes on graphs of transcendental functions. (Alabama)
Title: You Mean ANYTHING To The Zero Power Is One?
This lesson is a technology-based project to reinforce concepts related to the Exponential Function. It can be used in conjunction with any textbook practice set. Construction of computer models of several Exponential Functions will promote meaningful learning rather than memorization.
Title: Factoring Fanatic
This activity is designed to give students practice in "finding" the correct factors to use when attempting to factor a trinomial. The students are provided with a Tic-Tac sheet to help them discover the relationship or pattern between two numbers. Students then use their discovery to fill in a second Tic Tac sheet. At this point students have uncovered the mystery of how to locate the appropriate factors in a given trinomial. They can now factor any trinomial placed in front of them!
Title: Predicting Your Financial Future
In this Illuminations lesson, students use their knowledge of exponents to compute an investment s worth using a formula and a compound interest simulator. Students also use the simulator to analyze credit card payments and debt.
Standard(s): [MA2015] ALC (9-12) 7: Use analytical, numerical, and graphical methods to make financial and economic decisions, including those involving banking and investments, insurance, personal budgets, credit purchases, recreation, and deceptive and fraudulent pricing and advertising. (Alabama)
Title: Proof Without Words: Completing the Square
In this student interactive, from Illuminations, students carry out an interactive, geometric '' proof without words'' for the algebraic technique of completing the square. The page also includes directions and a link to the final solution.
Standard(s): [MA2015] GEO (9-12) 29: Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation. [G-GPE1]