ALEX Lesson Plans
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Title: Penny Drop That Thang!
Description:
This lesson is designed to introduce and extend students' knowledge on slope and linear equations. Students will be able to differentiate finding the slope to creating a linear equation.
This is a College and CareerReady Standards showcase lesson plan.
Standard(s): [MA2013] AL1 (912) 23: 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]
Subject: Mathematics (8  12)
Title: Penny Drop That Thang!
Description: This lesson is designed to introduce and extend students' knowledge on slope and linear equations. Students will be able to differentiate finding the slope to creating a linear equation.
This is a College and CareerReady Standards showcase lesson plan.
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Title: Predict the Future?
Description:
Students will use data collected and a "bestfit line" to make predictions for the future. The example the students will be working on for this lesson will demonstrate an exponential regression.
Standard(s): [MA2013] PRE (912) 16: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. (Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. Determine odd, even, neither.)* [FIF4] (Alabama)
Subject: Mathematics (9  12), or Technology Education (9  12)
Title: Predict the Future?
Description: Students will use data collected and a "bestfit line" to make predictions for the future. The example the students will be working on for this lesson will demonstrate an exponential regression.
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Title: Cosmic Measurements
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In this lesson, students will use hands on inquiry in cooperative learning groups to understand, develop and analyze common measurements used by astronomers. Students will use common objects such as straws, twizzlers, or toothpicks to measure the distance from a fixed object or central location to other objects. The students will then use this information to develop a unit of measurement like the astronomical unit. The students will measure the speed of an object such as a remote control car and use this to develop a unit similar to the lightyear. 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] ALC (912) 10: Critique measurements in terms of precision, accuracy, and approximate error. (Alabama)
Subject: Mathematics (9  12), or Science (9  12)
Title: Cosmic Measurements
Description: In this lesson, students will use hands on inquiry in cooperative learning groups to understand, develop and analyze common measurements used by astronomers. Students will use common objects such as straws, twizzlers, or toothpicks to measure the distance from a fixed object or central location to other objects. The students will then use this information to develop a unit of measurement like the astronomical unit. The students will measure the speed of an object such as a remote control car and use this to develop a unit similar to the lightyear. 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: Creating a Payroll Spreadsheet
Description:
Spreadsheet software allows you to calculate numbers arranged in rows and columns for specific financial tasks. This activity allows students to create an "Employee Work/Pay Schedule" spreadsheet to reinforce spreadsheet skills. Students will practice spreadsheet skills by entering data, creating formulas, and using formatting commands.
Standard(s):
Subject: Mathematics (9  12), or Technology Education (9  12)
Title: Creating a Payroll Spreadsheet
Description: Spreadsheet software allows you to calculate numbers arranged in rows and columns for specific financial tasks. This activity allows students to create an "Employee Work/Pay Schedule" spreadsheet to reinforce spreadsheet skills. Students will practice spreadsheet skills by entering data, creating formulas, and using formatting commands.
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Title: Swimming Pool Math
Description:
Students will use a swimming pool example to practice finding perimeter and area of different rectangles.
Standard(s): [MA2013] (8) 24: Know the formulas for the volumes of cones, cylinders, and spheres, and use them to solve realworld and mathematical problems. [8G9]
Subject: Mathematics (6  12)
Title: Swimming Pool Math
Description: Students will use a swimming pool example to practice finding perimeter and area of different rectangles.
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Title: Rags to Riches or Riches to Rags?
Description:
In this lesson students will apply the interest formulas to make the best investment decision for our fictional character Algebrea Calculique. The students will be provided with a story explaining the situation that Algebrea faces and the investment choices that she has. To present their findings and conclusion, the students will write an expository essay. This lesson integrates mathematics into the writing process.
Standard(s):
Subject: English Language Arts (9  10), or Mathematics (9  12)
Title: Rags to Riches or Riches to Rags?
Description: In this lesson students will apply the interest formulas to make the best investment decision for our fictional character Algebrea Calculique. The students will be provided with a story explaining the situation that Algebrea faces and the investment choices that she has. To present their findings and conclusion, the students will write an expository essay. This lesson integrates mathematics into the writing process.
Thinkfinity Lesson Plans
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Title: Symbolic Analysis
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In this lesson, one of a multipart unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. They work to find additional equations and formulas to represent the data.
Standard(s): [MA2013] AL1 (912) 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [FIF3]
Subject: Mathematics,Science Title: Symbolic Analysis
Description: In this lesson, one of a multipart unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. They work to find additional equations and formulas to represent the data. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Analyzing the Data
Description:
In this lesson, one of a multipart unit from Illuminations, students explore the development of a mathematical model for the decay of light passing through water, in a rich exploration of exponential models in context. They use an interactive Java applet to explore related algebraic functions.
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]
Subject: Mathematics,Science Title: Analyzing the Data
Description: In this lesson, one of a multipart unit from Illuminations, students explore the development of a mathematical model for the decay of light passing through water, in a rich exploration of exponential models in context. They use an interactive Java applet to explore related algebraic functions. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Make a Conjecture
Description:
In this lesson, one of a multipart unit from Illuminations, students explore rates of change and accumulation in context. They are asked to think about the mathematics involved in determining the amount of blood being pumped by a heart.
Standard(s): [MA2013] AL1 (912) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [FBF2]
Subject: Health,Mathematics Title: Make a Conjecture
Description: In this lesson, one of a multipart unit from Illuminations, students explore rates of change and accumulation in context. They are asked to think about the mathematics involved in determining the amount of blood being pumped by a heart. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Counting Embedded Figures
Description:
In this Illuminations lesson, students look for patterns in an embeddedsquare problem. After looking at the patterns, students form generalizations for the pattern. This activity sharpens students algebraic thinking and visualization skills.
Standard(s): [MA2013] AL1 (912) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [FBF2]
Subject: Mathematics Title: Counting Embedded Figures
Description: In this Illuminations lesson, students look for patterns in an embeddedsquare problem. After looking at the patterns, students form generalizations for the pattern. This activity sharpens students algebraic thinking and visualization skills. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
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Title: Shedding the Light
Description:
In this fourlesson unit, from Illuminations, students investigate a mathematical model for the decay of light passing through water. The goal of this investigation is a rich exploration of exponential models in context. Students examine the way light changes as water depth increases, conduct experiments, explore related algebraic functions using an interactive Java applet and analyze the data collected.
Standard(s): [MA2013] DM1 (912) 3: Use the recursive process and difference equations to create fractals, population growth models, sequences, series, and compound interest models. (Alabama)
Subject: Mathematics,Science Title: Shedding the Light
Description: In this fourlesson unit, from Illuminations, students investigate a mathematical model for the decay of light passing through water. The goal of this investigation is a rich exploration of exponential models in context. Students examine the way light changes as water depth increases, conduct experiments, explore related algebraic functions using an interactive Java applet and analyze the data collected. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Investigating Pick's Theorem
Description:
In this unit of three lessons, from Illuminations, students rediscover Pick's Theorem, which they were likely introduced to in middle school, and use algebra to determine the coefficients of the equation. They explore the concept of change as a mechanism for finding the coefficients of Pick's Theorem.
Standard(s): [MA2013] AL1 (912) 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [SID7]
Subject: Mathematics Title: Investigating Pick's Theorem
Description: In this unit of three lessons, from Illuminations, students rediscover Pick's Theorem, which they were likely introduced to in middle school, and use algebra to determine the coefficients of the equation. They explore the concept of change as a mechanism for finding the coefficients of Pick's Theorem. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Web Resources
Interactives/Games
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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.
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Title: Online Algebra Problem Solver
Description:
Online Algebra Solver allows students to create equations related to a variety of areas of math and solve them online.
Standard(s): [MA2013] ALT (912) 9: (+) Add, subtract, and multiply matrices of appropriate dimensions. [NVM8]
Online Algebra Problem Solver
http://www.algebrao...
Online Algebra Solver allows students to create equations related to a variety of areas of math and solve them online.
Learning Activities
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Title: Egg Launch Contest
Description:
In this activity, students encounter data that comes in different forms in the context of the description of an egg launch contest. The data for team A are shown in a table, the data for team B are expressed by an equation, and the data for team C are displayed in a graph. The data are available to students on the activity sheet.
Standard(s): [MA2013] AL1 (912) 28: For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.* [FIF4]
Egg Launch Contest
http://illuminations...
In this activity, students encounter data that comes in different forms in the context of the description of an egg launch contest. The data for team A are shown in a table, the data for team B are expressed by an equation, and the data for team C are displayed in a graph. The data are available to students on the activity sheet.
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Title: Relations and Functions Puzzle
Description:
An "AhBach" style worksheet/puzzle dealing with evaluating functions and matching equations and graphs. Question solutions yield the needed letters to decipher a message.
Standard(s): [MA2013] ALT (912) 33: Write a function that describes a relationship between two quantities.* [FBF1]
Relations and Functions Puzzle
http://mathbits.com/...
An "AhBach" style worksheet/puzzle dealing with evaluating functions and matching equations and graphs. Question solutions yield the needed letters to decipher a message.
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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.
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Title: Online Algebra Problem Solver
Description:
Online Algebra Solver allows students to create equations related to a variety of areas of math and solve them online.
Standard(s): [MA2013] ALT (912) 9: (+) Add, subtract, and multiply matrices of appropriate dimensions. [NVM8]
Online Algebra Problem Solver
http://www.algebrao...
Online Algebra Solver allows students to create equations related to a variety of areas of math and solve them online.

