ALEX Lesson Plans
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Title: Discover the Roots of a Polynomial Function
Description:
In this lesson, students will be reintroduced 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): [MA2013] AL2 (912) 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. [AAPR3]
Subject: Mathematics (9  12)
Title: Discover the Roots of a Polynomial Function
Description: In this lesson, students will be reintroduced 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
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Title: "Factoring by Mack"
Description:
This strategy for factoring trinomials will eliminate the trialanderror method used in most textbooks.The lesson will be a direct teaching lesson. With the teacher lecturing and the students taking notes and then having the students break up into groups to solve sample problems.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): [MA2013] AL1 (912) 8: Use the structure of an expression to identify ways to rewrite it. [ASSE2]
Subject: Mathematics (9  12)
Title: "Factoring by Mack"
Description: This strategy for factoring trinomials will eliminate the trialanderror method used in most textbooks.The lesson will be a direct teaching lesson. With the teacher lecturing and the students taking notes and then having the students break up into groups to solve sample problems.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
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Title: Exponential Growth and Decay
Description:
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): [MA2013] PRE (912) 25: Compare effects of parameter changes on graphs of transcendental functions. (Alabama)
Subject: Mathematics (9  12)
Title: Exponential Growth and Decay
Description: 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.
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Title: You Mean ANYTHING To The Zero Power Is One?
Description:
This lesson is a technologybased 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.
Standard(s):
Subject: Mathematics (9  12), or Technology Education (9  12)
Title: You Mean ANYTHING To The Zero Power Is One?
Description: This lesson is a technologybased 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.
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Title: Factoring Fanatic
Description:
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 TicTac 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!
Standard(s):
Subject: Mathematics (9  12)
Title: Factoring Fanatic
Description: 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 TicTac 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!
Thinkfinity Lesson Plans
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Title: Predicting Your Financial Future
Description:
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): [MA2013] ALC (912) 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)
Subject: Mathematics Title: Predicting Your Financial Future
Description: 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. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Web Resources
Interactives/Games
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Title: Quadratic Equation Grapher
Description:
Learn about graphing polynomials. The shape of the curve changes as the constants are adjusted. View the curves for the individual terms to see how they add to generate the polynomial curve.
Standard(s): [MA2013] AL1 (912) 31: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [FIF7]
Quadratic Equation Grapher
http://phet.colorado...
Learn about graphing polynomials. The shape of the curve changes as the constants are adjusted. View the curves for the individual terms to see how they add to generate the polynomial curve.
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Title: Graphing Exponential Functions
Description:
This interactive graph lets students explore the different aspects of exponential graphs.
Standard(s): [MA2013] ALT (912) 27: Explain why the xcoordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.* [AREI11]
Graphing Exponential Functions
http://www.softschoo...
This interactive graph lets students explore the different aspects of exponential graphs.
Learning Activities
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Title: Graphing Exponential Functions
Description:
This interactive graph lets students explore the different aspects of exponential graphs.
Standard(s): [MA2013] ALT (912) 27: Explain why the xcoordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions.* [AREI11]
Graphing Exponential Functions
http://www.softschoo...
This interactive graph lets students explore the different aspects of exponential graphs.
Thinkfinity Learning Activities
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Title: Proof Without Words: Completing the Square
Description:
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): [MA2013] GEO (912) 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. [GGPE1]
Subject: Mathematics Title: Proof Without Words: Completing the Square
Description: 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. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12

