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: Solving MultiStep Equations
Description:
In this lesson, students will work cooperatively to solve multistep equations online. The program will allow them to solve the equations and then check their answers. Students lacking the needed skills to complete this assignment will be given an opportunity to work cooperatively in an interactive program with algebra tiles to solve twostep equations. The students will remain in their cooperative groups and complete the problems listed on Handout 1. They will also have an opportunity to present their solutions and the process they worked through to get the solution to the class.
Standard(s): [MA2013] AL1 (912) 17: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. [AREI3]
Subject: Mathematics (9  12)
Title: Solving MultiStep Equations
Description: In this lesson, students will work cooperatively to solve multistep equations online. The program will allow them to solve the equations and then check their answers. Students lacking the needed skills to complete this assignment will be given an opportunity to work cooperatively in an interactive program with algebra tiles to solve twostep equations. The students will remain in their cooperative groups and complete the problems listed on Handout 1. They will also have an opportunity to present their solutions and the process they worked through to get the solution to the class.
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Title: The Art of Solving One and TwoStep Equations  A WebQuest
Description:
This lesson is on solving one and twostep equations. Students will watch interactive video clips that provide a step by step process to solving equations. Students will also visit interactive websites that provide games for solving equations.
Standard(s): [MA2013] AL1 (912) 17: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. [AREI3]
Subject: Mathematics (9  12)
Title: The Art of Solving One and TwoStep Equations  A WebQuest
Description: This lesson is on solving one and twostep equations. Students will watch interactive video clips that provide a step by step process to solving equations. Students will also visit interactive websites that provide games for solving equations.
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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: It’s a Party! Solving Multistep Equations
Description:
Often students are confused about ‘where to start’ when solving a multistep equation. In this lesson the equation is labeled as a ‘party’. The 'host' is labeled (x) with remaining operations being labeled according to their relationship to the host (friends, family, acquaintances, etc...). Technology assignments are used as one method to assess student understanding.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] (8) 9: Solve linear equations in one variable. [8EE7] [MA2013] AL1 (912) 16: Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method. [AREI1] [MA2013] AL1 (912) 17: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. [AREI3]
Subject: Mathematics (8  12)
Title: It’s a Party! Solving Multistep Equations
Description: Often students are confused about ‘where to start’ when solving a multistep equation. In this lesson the equation is labeled as a ‘party’. The 'host' is labeled (x) with remaining operations being labeled according to their relationship to the host (friends, family, acquaintances, etc...). Technology assignments are used as one method to assess student understanding.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: Density
Description:
Density is the ratio of mass to volume. Density will be introduced to students by a demonstration of coke verses diet coke. The teacher will then solve density problems for the students on the board. The class will then complete a lab on the density of plastics. After lab the students will compare results. Each group will present a Powerpoint presentation of their results.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): [S1] (8) 1: Identify steps within the scientific process. [S1] CHE (912) 1: Differentiate among pure substances, mixtures, elements, and compounds. [S1] ENV (912) 1: Identify the influence of human population, technology, and cultural and industrial changes on the environment. [MA2013] AL1 (912) 4: Use units as a way to understand problems and to guide the solution of multistep problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays. [NQ1] [MA2013] AL1 (912) 5: Define appropriate quantities for the purpose of descriptive modeling. [NQ2] [MA2013] AL1 (912) 6: Choose a level of accuracy appropriate to limitations on measurement when reporting quantities. [NQ3] [MA2013] AL1 (912) 15: Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. [ACED4] [MA2013] AL1 (912) 17: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. [AREI3] [MA2013] AL1 (912) 28: 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.* [FIF4] [MA2013] AL1 (912) 34: Write a function that describes a relationship between two quantities.* [FBF1] [MA2013] AL1 (912) 37: Distinguish between situations that can be modeled with linear functions and with exponential functions. [FLE1] [MA2013] AL1 (912) 38: Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two inputoutput pairs (include reading these from a table). [FLE2] [MA2013] ALC (912) 1: Create algebraic models for applicationbased problems by developing and solving equations and inequalities, including those involving direct, inverse, and joint variation. (Alabama) [MA2013] GEO (912) 40: Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, British Thermal Units (BTUs) per cubic foot).* [GMG2]
Subject: Mathematics (9  12), or Science (8  12)
Title: Density
Description: Density is the ratio of mass to volume. Density will be introduced to students by a demonstration of coke verses diet coke. The teacher will then solve density problems for the students on the board. The class will then complete a lab on the density of plastics. After lab the students will compare results. Each group will present a Powerpoint presentation of their results.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Web Resources
Interactives/Games
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Title: Graphing Lines
Description:
Students explore the world of lines by investigating the relationships between linear equations, slope, and graphs of lines. This interactive tool requires Javascript.
Standard(s): [MA2013] (7) 2: Recognize and represent proportional relationships between quantities. [7RP2] [MA2013] (8) 10: Analyze and solve pairs of simultaneous linear equations. [8EE8] [MA2013] AL1 (912) 17: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters. [AREI3] [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]
Graphing Lines
http://phet.colorado...
Students explore the world of lines by investigating the relationships between linear equations, slope, and graphs of lines. This interactive tool requires Javascript.
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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.

