## Hot Shot Statistics

Monica Echols, Algebra, Francis Bradley Middle School

Final Unit (PDF)

Implementing Common Core Standards

200 Word Synopsis

This lesson is designed for my Algebra-I class where, students will understand that systems of equations can be used to model, analyze and solve real world situations.  It also demonstrates how the usage of systems of equations can determine important statistics in sports.  Students will grasp how two equations with the same variables will be able to work together and solve for the two unknown variables. It is my goal that the learning outcome will enable students to work collaboratively to develop strategies to solve systems of equations using three different methods with real-world applications.  The usage of graphs, calculators, and other manipulatives will assist the student in interpreting exactly what a problem is inquiring and how to better solve it.

There are three methods that will demonstrate how to solve systems of linear equations: Solving Systems of Linear Equations by Graphing, Solving Systems of Linear Equations by Substitution, Solving Systems of Linear Equations by Elimination, and Solving Systems of Linear Equations using Matrices.  In order to solve a system of equations, one must find all the sets of values of the variables that constitute solutions of the system. A system of equations that has at least one solution is consistent.  A consistent system can be either independent or dependent.  A consistent system that is independent has exactly one solution.  The lines intersect at one point.  The lines have different slopes.  A consistent system that is dependent has infinitely many solutions.  The lines are the same.  The lines have the same slope and y-intercept.  A system of equations that has no solution is inconsistent.  The lines are parallel.  The lines have the same slope and different y-intercepts.  The North Carolina Common Core Standards that will be implemented in this unit are standards A.CED.3, A.REI.5, A.REI.6, A.REI.11.