ALEX Lesson Plans
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Title: Human Population Growth WebQuest
Description:
This is a technologybased lesson plan that integrates science and math to determine dynamics in population growth.
Standard(s): [S1] BIO (912) 16: Identify densitydependent and densityindependent limiting factors that affect populations in an ecosystem.
Subject: Mathematics (9  12), or Science (9  12)
Title: Human Population Growth WebQuest
Description: This is a technologybased lesson plan that integrates science and math to determine dynamics in population growth.
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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.
Thinkfinity Lesson Plans
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Title: Exact Ratio
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This reproducible activity sheet, from an Illuminations lesson, features a series of questions pertaining to exact ratios and geometric sequences. In the lesson, students measure lengths on stringed musical instruments and discuss how the placement of frets on a fretted instrument is determined by a geometric sequence.
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: Exact Ratio
Description: This reproducible activity sheet, from an Illuminations lesson, features a series of questions pertaining to exact ratios and geometric sequences. In the lesson, students measure lengths on stringed musical instruments and discuss how the placement of frets on a fretted instrument is determined by a geometric sequence. 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: The National Debt and Wars
Description:
This reproducible worksheet, from an Illuminations lesson, guides students as they collect information about the national debt, plot the data by decade and determine whether an exponential curve is a good fit for the data.
Standard(s): [MA2013] ALC (912) 3: Use formulas or equations of functions to calculate outcomes of exponential growth or decay. (Alabama)
Subject: Mathematics,Social Studies Title: The National Debt and Wars
Description: This reproducible worksheet, from an Illuminations lesson, guides students as they collect information about the national debt, plot the data by decade and determine whether an exponential curve is a good fit for the data. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Shedding the Light
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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: Graph Chart
Description:
This reproducible transparency, from an Illuminations lesson, contains the answers to the similarly named student activity in which students identify the independent and dependent variables, the function, symbolic function rule and rationale for a set of graphs.
Standard(s): [MA2013] ALT (912) 33: Write a function that describes a relationship between two quantities.* [FBF1]
Subject: Mathematics Title: Graph Chart
Description: This reproducible transparency, from an Illuminations lesson, contains the answers to the similarly named student activity in which students identify the independent and dependent variables, the function, symbolic function rule and rationale for a set of graphs. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Automobile Mileage: Age vs. Mileage
Description:
In this lesson, one of a multipart unit from Illuminations, students plot data about automobile mileage and interpret the meaning of the slope and yintercept of the least squares regression line. By examining the graphical representation of the data, students analyze the meaning of the slope and yintercept of the line and put those meanings in the context of the reallife application. This lesson incorporates an interactive regression line applet.
Standard(s):
Subject: Mathematics Title: Automobile Mileage: Age vs. Mileage
Description: In this lesson, one of a multipart unit from Illuminations, students plot data about automobile mileage and interpret the meaning of the slope and yintercept of the least squares regression line. By examining the graphical representation of the data, students analyze the meaning of the slope and yintercept of the line and put those meanings in the context of the reallife application. This lesson incorporates an interactive regression line applet. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Cardiac Output, Rates of Change, and Accumulation
Description:
In this unit of four lessons, from Illuminations, students explore the measurement of the amount of blood being pumped by a heart. The measurement is based upon two common problems: (1) a flow rate and accumulation problem and (2) a concentration problem.
Standard(s): [MA2013] PRE (912) 17: Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.* [FIF6]
Subject: Health,Mathematics,Science Title: Cardiac Output, Rates of Change, and Accumulation
Description: In this unit of four lessons, from Illuminations, students explore the measurement of the amount of blood being pumped by a heart. The measurement is based upon two common problems: (1) a flow rate and accumulation problem and (2) a concentration problem. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Modeling Orbital Debris Problems
Description:
In this lesson, from Illuminations, students examine the problem of space pollution caused by humanmade debris in orbit to develop an understanding of functions and modeling. The lesson gives students an opportunity to use spreadsheets, graphing calculators, and computer graphing utilities.
Standard(s): [MA2013] AL2 (912) 32: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [FIF9]
Subject: Mathematics,Science Title: Modeling Orbital Debris Problems
Description: In this lesson, from Illuminations, students examine the problem of space pollution caused by humanmade debris in orbit to develop an understanding of functions and modeling. The lesson gives students an opportunity to use spreadsheets, graphing calculators, and computer graphing utilities. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Rates of Change in Pick's Theorem
Description:
In this lesson, one of a multipart unit from Illuminations, students use a spreadsheet to investigate rates of change among various figures created on a geoboard. The coefficients of Pick s Theorem are easily determined from these rates of change.
Standard(s): [MA2013] PRE (912) 17: Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.* [FIF6]
Subject: Mathematics Title: Rates of Change in Pick's Theorem
Description: In this lesson, one of a multipart unit from Illuminations, students use a spreadsheet to investigate rates of change among various figures created on a geoboard. The coefficients of Pick s Theorem are easily determined from these rates of change. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Web Resources
Lesson Plans
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Title: Drug Filtering (Exponential Decay)
Description:
In this lesson, students observe a model of exponential decay, and how kidneys filter their blood. They will calculate the amount of a drug in the body over a period of time. Then, they will make and analyze the graphical representation of this exponential function.
Standard(s): [MA2013] ALT (912) 33: Write a function that describes a relationship between two quantities.* [FBF1]
Drug Filtering (Exponential Decay)
http://illuminations...
In this lesson, students observe a model of exponential decay, and how kidneys filter their blood. They will calculate the amount of a drug in the body over a period of time. Then, they will make and analyze the graphical representation of this exponential function.
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.
Learning Activities
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Title: Rate of Growth
Description:
In the learning activity M & M Lab, students use their graphing calculators to investigate rate of growth and exponential regressions. The learning activity includes the instructions and lab sheet to complete the population activity using a graphing calculator.
Standard(s): [MA2013] AL1 (912) 32: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. [FIF8]
Rate of Growth
http://mathbits.com/...
In the learning activity M & M Lab, students use their graphing calculators to investigate rate of growth and exponential regressions. The learning activity includes the instructions and lab sheet to complete the population activity using a graphing calculator.
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Title: Rate of Decay
Description:
Students use their graphing calculators to investigate rate of decay and exponential regressions.
Standard(s): [MA2013] AL1 (912) 32: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. [FIF8]
Rate of Decay
http://mathbits.com/...
Students use their graphing calculators to investigate rate of decay and exponential regressions.
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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: Flowing Through Mathematics
Description:
This student interactive, from Illuminations, simulates water flowing from a tube through a hole in the bottom. The diameter of the hole can be adjusted and data can be gathered for the height or volume of water in the tube at any time.
Standard(s): [MA2013] ALC (912) 12: Create a model of a set of data by estimating the equation of a curve of best fit from tables of values or scatter plots. (Alabama)
Subject: Mathematics Title: Flowing Through Mathematics
Description: This student interactive, from Illuminations, simulates water flowing from a tube through a hole in the bottom. The diameter of the hole can be adjusted and data can be gathered for the height or volume of water in the tube at any time. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Two Terrains
Description:
In this interactive from Illuminations, students learn about ratios while identifying the best path for a vehicle, depending on whether it has better on‑road or off‑road performance.
Standard(s): [MA2013] AL1 (912) 34: Write a function that describes a relationship between two quantities.* [FBF1]
Subject: Mathematics Title: Two Terrains
Description: In this interactive from Illuminations, students learn about ratios while identifying the best path for a vehicle, depending on whether it has better on‑road or off‑road performance. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12

