**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:** Focusing on Graphs

**Description:**
In this lesson, students will solve systems of linear equations by graphing. Systems of linear equations are two or more linear equations together.
**Standard(s): **

[MA2015] AL1 (9-12) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [A-REI6]

**Subject:**Mathematics (9 - 12)

**Title:**Focusing on Graphs

**Description:**In this lesson, students will solve systems of linear equations by graphing. Systems of linear equations are two or more linear equations together.

**Title:** When Will Mr. "X" Meet Miss "Y"?

**Description:**
During this lesson, students will solve systems of equations graphically. Students will graph various equations individually using graphing paper. They will work with a partner to solve several system of equation problems and then graph them on chart paper to be displayed throughout the classroom.
**Standard(s): **

[MA2015] AL1 (9-12) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [A-REI6]

**Subject:**Mathematics (9 - 12)

**Title:**When Will Mr. "X" Meet Miss "Y"?

**Description:**During this lesson, students will solve systems of equations graphically. Students will graph various equations individually using graphing paper. They will work with a partner to solve several system of equation problems and then graph them on chart paper to be displayed throughout the classroom.

**Title:** Wild Water Adventure

**Description:**
Students will learn how a system of equations can be used to find the best use of information to make decisions in real-world situations.Students will work in groups of 3s or 4s to develop a system for the best buy on tickets at a water park. The lesson is also designed to help students develop a budget or a plan when their spending money is limited. Students will find that sometimes group prices or working as a team will help them save money.
**Standard(s): **

[MA2015] AL1 (9-12) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [A-REI6]

**Subject:**Mathematics (9 - 12)

**Title:**Wild Water Adventure

**Description:**Students will learn how a system of equations can be used to find the best use of information to make decisions in real-world situations.Students will work in groups of 3s or 4s to develop a system for the best buy on tickets at a water park. The lesson is also designed to help students develop a budget or a plan when their spending money is limited. Students will find that sometimes group prices or working as a team will help them save money.

**Title:** Battleships

**Description:**
This lesson is designed to review and reinforce three methods (graphing, substitution and elimination) of solving systems of linear equations. The students will work together and independently to find the solutions to systems of equations that simulate the linear path of the battleship and the path of the battleships’ torpedo. If the solution exists then we will be able to determine if one battleship might be able to sink another. (Shared with permission of Twyla Fryer.)This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.
**Standard(s): **

[MA2015] ALT (9-12) 21: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [A-CED2]

**Subject:**Mathematics (9 - 12)

**Title:**Battleships

**Description:**This lesson is designed to review and reinforce three methods (graphing, substitution and elimination) of solving systems of linear equations. The students will work together and independently to find the solutions to systems of equations that simulate the linear path of the battleship and the path of the battleships’ torpedo. If the solution exists then we will be able to determine if one battleship might be able to sink another. (Shared with permission of Twyla Fryer.)This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMS-U Project.

**Title:** There Has to Be a System for This Sweet Problem

**Description:**
In this Illuminations lesson, students use problem-solving skills to find the solution to a multi-variable problem that is solved by manipulating linear equations. The problem has one solution, but there are multiple variations in how to reach that solution.
**Standard(s): **

[MA2015] AL1 (9-12) 21: Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. [A-REI7]

**Subject:**Mathematics

**Title:**There Has to Be a System for This Sweet Problem

**Description:**In this Illuminations lesson, students use problem-solving skills to find the solution to a multi-variable problem that is solved by manipulating linear equations. The problem has one solution, but there are multiple variations in how to reach that solution.

**Thinkfinity Partner:**Illuminations

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

**Title:** Supply and Demand

**Description:**
Students write and solve a number of systems of linear equations in the context economics as supply and demand. Students should be familiar with finding linear equations from two points or slope and y-intercept.
**Standard(s): **

[SS2010] ECON (12) 8: Explain the impact of the labor market on the United States' economy.

**Subject:**Mathematics,Social Studies

**Title:**Supply and Demand

**Description:**Students write and solve a number of systems of linear equations in the context economics as supply and demand. Students should be familiar with finding linear equations from two points or slope and y-intercept.

**Thinkfinity Partner:**Illuminations

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

**Title:** Pick's Theorem as a System of Equations

**Description:**
In this lesson, one of a multi-part unit from Illuminations, students gather three examples from a geoboard or other representation to generate a system of equations. The solution provides the coefficients for Pick s Theorem.
**Standard(s): **

[MA2015] ALT (9-12) 22: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. [A-CED3]

**Subject:**Mathematics

**Title:**Pick's Theorem as a System of Equations

**Description:**In this lesson, one of a multi-part unit from Illuminations, students gather three examples from a geoboard or other representation to generate a system of equations. The solution provides the coefficients for Pick s Theorem.

**Thinkfinity Partner:**Illuminations

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

**Title:** Escape from the Tomb

**Description:**
In this Illuminations lesson, students solve a system of equations when presented with a problem: two bowls are suspended from the ceiling by springs and one bowl is lower than the other. Placing only marbles in one bowl and bingo chips in the other, students must work out how many items should be placed in each bowl so that the heights of the bowls are the same. There are also links to online activity sheets.
**Standard(s): **

[MA2015] ALC (9-12) 2: Solve application-based problems by developing and solving systems of linear equations and inequalities. (Alabama)

**Subject:**Mathematics

**Title:**Escape from the Tomb

**Description:**In this Illuminations lesson, students solve a system of equations when presented with a problem: two bowls are suspended from the ceiling by springs and one bowl is lower than the other. Placing only marbles in one bowl and bingo chips in the other, students must work out how many items should be placed in each bowl so that the heights of the bowls are the same. There are also links to online activity sheets.

**Thinkfinity Partner:**Illuminations

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

**Title:** Escape from the Tomb Activity

**Description:**
This reproducible activity sheet, from an Illuminations lesson, includes instructions and questions for a mathematical adventure game. In the game, students are given a problem in which two bowls are suspended from the ceiling by springs, and one bowl is lower than the other. Students must work out how many items should be placed in each bowl so that the heights of the bowls are the same.
**Standard(s): **

[MA2015] AL2 (9-12) 22: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. [A-CED3]

**Subject:**Mathematics

**Title:**Escape from the Tomb Activity

**Description:**This reproducible activity sheet, from an Illuminations lesson, includes instructions and questions for a mathematical adventure game. In the game, students are given a problem in which two bowls are suspended from the ceiling by springs, and one bowl is lower than the other. Students must work out how many items should be placed in each bowl so that the heights of the bowls are the same.

**Thinkfinity Partner:**Illuminations

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