**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 Career-Ready Standards showcase lesson plan.
**Standard(s): **

[MA2015] AL1 (9-12) 23: Explain why the *x*-coordinates 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.* [A-REI11]

**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 Career-Ready Standards showcase lesson plan.

**Title:** Predict the Future?

**Description:**
Students will use data collected and a "best-fit 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): **

[MA2015] PRE (9-12) 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.*)* [F-IF4] (Alabama)

**Subject:**Mathematics (9 - 12), or Technology Education (9 - 12)

**Title:**Predict the Future?

**Description:**Students will use data collected and a "best-fit line" to make predictions for the future. The example the students will be working on for this lesson will demonstrate an exponential regression.

**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.

**Title:** Swimming Pool Math

**Description:**
Students will use a swimming pool example to practice finding perimeter and area of different rectangles.
**Standard(s): **

[MA2015] (8) 24: Know the formulas for the volumes of cones, cylinders, and spheres, and use them to solve real-world and mathematical problems. [8-G9]

**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.

**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.

**Title:** Symbolic Analysis

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

[MA2015] AL1 (9-12) 27: Recognize that sequences are functions, sometimes defined recursively, whose domain is a subset of the integers. [F-IF3]

**Subject:**Mathematics,Science

**Title:**Symbolic Analysis

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

**Title:** Analyzing the Data

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

[MA2015] AL1 (9-12) 31: Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases.* [F-IF7]

**Subject:**Mathematics,Science

**Title:**Analyzing the Data

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

**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:** Counting Embedded Figures

**Description:**
In this Illuminations lesson, students look for patterns in an embedded-square problem. After looking at the patterns, students form generalizations for the pattern. This activity sharpens students algebraic thinking and visualization skills.
**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:**Counting Embedded Figures

**Description:**In this Illuminations lesson, students look for patterns in an embedded-square 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

**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:** 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): **

[MA2015] AL1 (9-12) 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [S-ID7]

**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