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] (8) 12: Compare properties of two functions, each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). [8F2] [MA2013] (8) 14: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x,y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of linear function in terms of the situation it models and in terms of its graph or a table of values. [8F4] [MA2013] AL1 (912) 12: Create equations and inequalities in one variable, and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. [ACED1] [MA2013] AL1 (912) 17: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. [AREI3] [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6] [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: 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): [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6]
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.
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Title: Why so Cross?
Description:
This lesson will help students develop a deep understanding of what the solution to a system of linear equations means. They will investigate the graphs of systems as well as experiment with an online graphing calculator.
Standard(s): [MA2013] (8) 10: Analyze and solve pairs of simultaneous linear equations. [8EE8] [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6]
Subject: Mathematics (8  12)
Title: Why so Cross?
Description: This lesson will help students develop a deep understanding of what the solution to a system of linear equations means. They will investigate the graphs of systems as well as experiment with an online graphing calculator.
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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): [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6]
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.
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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 realworld 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): [MA2013] AL1 (912) 17: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. [AREI3] [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6]
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 realworld 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.
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Title: Battleships
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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, GEMSU Project.
Standard(s): [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6] [MA2013] ALT (912) 21: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [ACED2]
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, GEMSU Project.
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Title: Systems on a Mission
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Students will solve systems of equations using 4 different methods. These methods include substitution, elimination by multiplication, elimination by addition or subtraction and graphing. Students will gain knowledge on how to use one method to solve a system of equations and another method to check their solution. 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): [CE] (012) 8: Cooperation [CE] (012) 6: Respect for others [CE] (012) 21: Patience [CE] (012) 5: Fairness [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6] [MA2013] AL1 (912) 21: Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. [AREI7]
Subject: Character Education (K  12), or Mathematics (9  12)
Title: Systems on a Mission
Description: Students will solve systems of equations using 4 different methods. These methods include substitution, elimination by multiplication, elimination by addition or subtraction and graphing. Students will gain knowledge on how to use one method to solve a system of equations and another method to check their solution. 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: Quadrilaterals
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This is an inquiry lesson used to review Algebra 1 objectives by applying them to geometry concepts. Students explore the properties of quadrilaterals and classify them by definition. This lesson can be use in geometry classes. Students in geometry classes can apply theorems and definitions of quadrilaterals rather than as an inquiry lesson.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] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6] [MA2013] AL1 (912) 24: Graph the solutions to a linear inequality in two variables as a halfplane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding halfplanes. [AREI12] [MA2013] GEO (912) 1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on the undefined notions of point, line, distance along a line, and distance around a circular arc. [GCO1] [MA2013] GEO (912) 9: Prove theorems about lines and angles. Theorems include vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; and points on a perpendicular bisector of a line segment are exactly those equidistant from the segment's endpoints. [GCO9] [MA2013] GEO (912) 11: Prove theorems about parallelograms. Theorems include opposite sides are congruent, opposite angles are congruent; the diagonals of a parallelogram bisect each other; and conversely, rectangles are parallelograms with congruent diagonals. [GCO11] [MA2013] GEO (912) 30: Use coordinates to prove simple geometric theorems algebraically. [GGPE4] [MA2013] GEO (912) 31: Prove the slope criteria for parallel and perpendicular lines, and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point). [GGPE5] [MA2013] GEO (912) 33: Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.* [GGPE7] [MA2013] GEO (912) 34: Determine areas and perimeters of regular polygons, including inscribed or circumscribed polygons, given the coordinates of vertices or other characteristics. (Alabama) [MA2013] (8) 23: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. [8G8] [MA2013] GEO (912) 1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on the undefined notions of point, line, distance along a line, and distance around a circular arc. [GCO1] [MA2013] (8) 23: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system. [8G8] [MA2013] GEO (912) 1: Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on the undefined notions of point, line, distance along a line, and distance around a circular arc. [GCO1]
Subject: Mathematics (8  12)
Title: Quadrilaterals
Description: This is an inquiry lesson used to review Algebra 1 objectives by applying them to geometry concepts. Students explore the properties of quadrilaterals and classify them by definition. This lesson can be use in geometry classes. Students in geometry classes can apply theorems and definitions of quadrilaterals rather than as an inquiry lesson.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Thinkfinity Lesson Plans
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Title: There Has to Be a System for This Sweet Problem
Description:
In this Illuminations lesson, students use problemsolving skills to find the solution to a multivariable 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): [MA2013] AL1 (912) 19: Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. [AREI5] [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6] [MA2013] AL1 (912) 21: Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. [AREI7]
Subject: Mathematics Title: There Has to Be a System for This Sweet Problem
Description: In this Illuminations lesson, students use problemsolving skills to find the solution to a multivariable 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
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Title: Supply and Demand
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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 yintercept.
Standard(s): [MA2013] AL1 (912) 14: 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. [ACED3] [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6] [SS2010] ECON (12) 6: Describe how specialization and voluntary exchange between buyers and sellers lead to mutually beneficial outcomes. [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 yintercept. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
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Title: Pick's Theorem as a System of Equations
Description:
In this lesson, one of a multipart 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): [MA2013] AL1 (912) 14: 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. [ACED3] [MA2013] AL1 (912) 19: Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. [AREI5] [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6] [MA2013] ALT (912) 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. [ACED3]
Subject: Mathematics Title: Pick's Theorem as a System of Equations
Description: In this lesson, one of a multipart 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
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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): [MA2013] AL1 (912) 19: Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. [AREI5] [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6] [MA2013] ALC (912) 2: Solve applicationbased 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
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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): [MA2013] AL1 (912) 13: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [ACED2] [MA2013] AL1 (912) 14: 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. [ACED3] [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6] [MA2013] ALC (912) 2: Solve applicationbased problems by developing and solving systems of linear equations and inequalities. (Alabama) [MA2013] AL2 (912) 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. [ACED3]
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
Web Resources
Lesson Plans
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Title: Supply and Demand
Description:
In this lesson, students write and solve a system of linear equations in a realworld setting. Students should be familiar with finding linear equations from 2 points or from the slope and yintercept. Graphing calculators are not necessary for this activity, but could be used to extend the ideas found on the second activity sheet.
Standard(s): [MA2013] (8) 10: Analyze and solve pairs of simultaneous linear equations. [8EE8] [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6]
Supply and Demand
http://illuminations...
In this lesson, students write and solve a system of linear equations in a realworld setting. Students should be familiar with finding linear equations from 2 points or from the slope and yintercept. Graphing calculators are not necessary for this activity, but could be used to extend the ideas found on the second activity sheet.
Interactives/Games
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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] AL1 (912) 12: Create equations and inequalities in one variable, and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. [ACED1] [MA2013] AL1 (912) 13: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [ACED2] [MA2013] AL1 (912) 17: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. [AREI3] [MA2013] AL1 (912) 18: Solve quadratic equations in one variable. [AREI4] [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6] [MA2013] AL2 (912) 4: Solve quadratic equations with real coefficients that have complex solutions. [NCN7] [MA2013] AL2 (912) 20: Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. [ACED1] [MA2013] AL2 (912) 21: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [ACED2] [MA2013] AL2 (912) 33: Write a function that describes a relationship between two quantities.* [FBF1] [MA2013] ALT (912) 4: Solve quadratic equations with real coefficients that have complex solutions. [NCN7] [MA2013] ALT (912) 31: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. [FIF8] [MA2013] AL2 (912) 8: (+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled. [NVM7] [MA2013] AL2 (912) 9: (+) Add, subtract, and multiply matrices of appropriate dimensions. [NVM8] [MA2013] ALT (912) 8: (+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled. [NVM7] [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: 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] AL1 (912) 12: Create equations and inequalities in one variable, and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. [ACED1] [MA2013] AL1 (912) 13: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [ACED2] [MA2013] AL1 (912) 17: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. [AREI3] [MA2013] AL1 (912) 18: Solve quadratic equations in one variable. [AREI4] [MA2013] AL1 (912) 20: Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables. [AREI6] [MA2013] AL2 (912) 4: Solve quadratic equations with real coefficients that have complex solutions. [NCN7] [MA2013] AL2 (912) 20: Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. [ACED1] [MA2013] AL2 (912) 21: Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. [ACED2] [MA2013] AL2 (912) 33: Write a function that describes a relationship between two quantities.* [FBF1] [MA2013] ALT (912) 4: Solve quadratic equations with real coefficients that have complex solutions. [NCN7] [MA2013] ALT (912) 31: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. [FIF8] [MA2013] AL2 (912) 8: (+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled. [NVM7] [MA2013] AL2 (912) 9: (+) Add, subtract, and multiply matrices of appropriate dimensions. [NVM8] [MA2013] ALT (912) 8: (+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled. [NVM7] [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.

