**Title:** Human Population Growth WebQuest

**Description:**
This is a technology-based lesson plan that integrates science and math to determine dynamics in population growth.
**Standard(s): **

[S1] BIO (9-12) 16: Identify density-dependent and density-independent limiting factors that affect populations in an ecosystem.

**Subject:**Mathematics (9 - 12), or Credit Recovery Science (9 - 12), or Science (9 - 12)

**Title:**Human Population Growth WebQuest

**Description:**This is a technology-based lesson plan that integrates science and math to determine dynamics in population growth.

**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): **

[MA2015] PRE (9-12) 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.

**Title:** You Mean ANYTHING To The Zero Power Is One?

**Description:**
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.
**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 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:** 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.
**Standard(s): **

[MA2015] AL1 (9-12) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [F-BF2]

**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

**Title:** Make a Conjecture

**Description:**
In this lesson, one of a multi-part 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): **

[MA2015] AL1 (9-12) 35: Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.* [F-BF2]

**Subject:**Health,Mathematics

**Title:**Make a Conjecture

**Description:**In this lesson, one of a multi-part 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

**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): **

[MA2015] ALC (9-12) 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

**Title:** Shedding the Light

**Description:**
In this four-lesson 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): **

[MA2015] DM1 (9-12) 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 four-lesson 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

**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): **

[MA2015] ALT (9-12) 33: Write a function that describes a relationship between two quantities.* [F-BF1]

**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

**Title:** Automobile Mileage: Age vs. Mileage

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students plot data about automobile mileage and interpret the meaning of the slope and y-intercept of the least squares regression line. By examining the graphical representation of the data, students analyze the meaning of the slope and y-intercept of the line and put those meanings in the context of the real-life 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 multi-part unit from Illuminations, students plot data about automobile mileage and interpret the meaning of the slope and y-intercept of the least squares regression line. By examining the graphical representation of the data, students analyze the meaning of the slope and y-intercept of the line and put those meanings in the context of the real-life application. This lesson incorporates an interactive regression line applet.

**Thinkfinity Partner:**Illuminations

**Grade Span:**9,10,11,12

**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): **

[MA2015] PRE (9-12) 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.* [F-IF6]

**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

**Title:** Modeling Orbital Debris Problems

**Description:**
In this lesson, from Illuminations, students examine the problem of space pollution caused by human-made 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): **

[MA2015] AL2 (9-12) 32: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [F-IF9]

**Subject:**Mathematics,Science

**Title:**Modeling Orbital Debris Problems

**Description:**In this lesson, from Illuminations, students examine the problem of space pollution caused by human-made 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

**Title:** Rates of Change in Pick's Theorem

**Description:**
In this lesson, one of a multi-part 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): **

[MA2015] PRE (9-12) 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.* [F-IF6]

**Subject:**Mathematics

**Title:**Rates of Change in Pick's Theorem

**Description:**In this lesson, one of a multi-part 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

**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): **

[MA2015] ALC (9-12) 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

**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): **

[MA2015] AL1 (9-12) 34: Write a function that describes a relationship between two quantities.* [F-BF1]

**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