Teacher Resources for Instructional Planning


Algebra 2 Std 8: Solve systems of linear equations or inequalities in two or three variables using algebraic techniques, including those involving matrices. Evaluating the determinant of a 2x2 or 3x3 matrix Solving word problems involving real-life situations

Lesson Plans What’s the Point? This unit introduces students to technology as a means of graphing linear equations on a graphing calculator and finding the point of intersection and inputting data into lists. Making Connections: Matrices, Graphs, and Linear Systems Students will use graphing calculators to solve systems of linear equations in two ways. They will solve systems of equations by writing related matrices and solving by using inverse matrices. Between the Extremes Students will use the graphing calculator to analyze, write, and graph systems of inequalities from given data. Using real-life situations, students will collect and interpret data using graphing calculators. Homecoming Tickets Students will use principles of linear programming to solve a multi-condition problem. By successively eliminating possible solutions, they will derive a range of usable solutions. The Busing Problem (Linear Programming) Real life linear programming problems in a lesson plan from PBS. It has an online video that can go with the lesson, but the print material stands alone. Making Connections: Matrices, Graphs, and Linear Systems Students will use graphing calculators to solve systems of linear equations in two ways. They will solve systems of equations by writing related matrices and solving by using inverse matrices. Matrices at the Speed of Light! Students will demonstrate their ability to write matrix equations and correlate matrices to systems of equations and multiplying polynomials. Extensions include coding and Markov chains. Videobusters Students will utilize fundamental properties of matrix arithmetic to solve real-world situations. They will also integrate prior knowledge of matrices with TI-83 graphing calculators. Chicago Public Schools This is a collection of structured daily lesson plans that covers matrices. It includes activities and assessments. Meadows or Malls? (Using Matrices to Solve Systems) Use matrices to solve linear programming problems. Lesson 3 above is a recommended prerequisite. Supply and Demand - An Application of Linear Equations This grades 8-11 activity focuses on having students create and solve a system of linear equations in a real-world setting. By solving the system, students will find the equilibrium point for supply and demand. Students should be familiar with finding linear equations from two points or slope and y-intercept. Graphing calculators are not necessary for this activity, but could be used to extend the ideas found on sheet 3.

Resources: Interactive Utility for Matrices This site contains an online tutorial for reducing matrices. It includes a row-reducing program for the TI-82/83 and row-reducing excel spreadsheets. History of Math Archives The history of the determinant Linear Functions - Learn Your Lines Students will collect and analyze data using motion detectors of the TI Calculator-Based Laboratory (CBL) to solve and describe if and where data, representing two straight lines, intersect using numbers, symbols, and graphs. Pan Balance - Expressions This interactive pan balance allows numeric or algebraic expressions to be entered and compared. You can "weigh" the expressions you want to compare by entering them on either side of the balance. Explanation of Determinants by Minors An online explanation of Cramer's Rule including examples for 2nd and 3rd order determinants. Interactive Cramer's Rule Why Cramer's rule works! It is explained using vectors. The links below cannot be accessed at school, but should be accessible from home. Systems of Second-Degree Equations This is an online lesson that is easily transferable to lecture notes. It reads like a textbook with lots of examples and explanations. Go Directly to Jail! An application of Markov chains with Monopoly.
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