Systems of Equations

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UNIT PLAN: Solving Systems of Equations:

UNIT PLAN: Solving Systems of Equations By: Jocelyn Renteria

Content Standards:

Content Standards CCSS.Math.Content.HSA.REI.A.1 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. CCSS.Math.Content.HSA.REI.C .5 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. CCSS.Math.Content.HSA.REI.C .6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables . CCSS.Math.Content.HSA.REI.C.7 Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = -3 x and the circle x 2 + y 2 = 3 .

Big Ideas/ Unit Goals:

Big Ideas/ Unit Goals Students will investigate functions and mathematical relationships that can be analyzed using words, tables, graphs, and equations. They will be able think critically to use various methods to represent and solve systems of equations. Students will collaborate with their peers to complete the unit project which will consist of real life examples of problems that students will be able to relate to allowing them to work with 21 st century themes.

Learning Objectives & Assesments:

Learning Objectives & Assesments Students will be able to use various methods along with prior knowledge of equations to solve systems of equations . Students will be able to implement the procedure for solving systems of linear equations in a real world context. Students will be able to explain how to solve systems of equations.

Teaching Activities:

Teaching Activities Equation Match-Up Stations will be set up around the room each with a big graph. Students will have pulled a card from a box and get either an ordered pair (solution) or one of two linear equations. Students must go around the room finding their match which corresponds to the graphs around the room. At the end of the activity each station should have three students. Now students must can explore the relationship between the cards that they chose and the graph that they belong to. Graphing on Desmos Students will be given a set of equations and they will use their Chrome books to open up Desmos . Once on the website students will graph the equations and find the solutions for the equations. They will choose one of the systems to make up a scenario explaining the equations and what the solution would represent.

Why I chose this topic?:

Why I chose this topic? I think systems of linear equations are interesting because there are so many ways to approach them and find solutions for them. Students who are visual learners can graph equations and simply find the solution by looking at the graph. Students who like algebraic processes can solve these algebraically. Also, it is a really applicable concept and I can use a lot of real world examples which I think is important for student engagement.

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