## Standards and Objectives

Clearly stating objectives and setting obtainable goals for your students is great way to keep them informed and motivated.

## Content Area Standards:

- ALG.REI.5: Solve systems of equations using substitution.

- ALG.REI.6: Solve systems of linear equations in two variables exactly and approximately.

- ALG.REI.11: Solve systems of equations through graphing.

- NQ.VMQ.7: Multiply matrices by scalars.

- NQ.VMQ.8: Add, subtract, multiply matrices.

- NQ.VMQ.6: Use matrices to represent and manipulate data.

- NQ.VMQ.9: Understand properties of matrix multiplication.

- NQ.VMQ.10: Understand the role of zero and identity matrices.

- NQ.VMQ.12: Find determinant of a matrix, use to find area of triangles and parallelogram.

- ALG.REI.6: Solve systems of linear equations in two variables exactly and approximately.

- ALG.REI.11: Solve systems of equations through graphing.

- NQ.VMQ.7: Multiply matrices by scalars.

- NQ.VMQ.8: Add, subtract, multiply matrices.

- NQ.VMQ.6: Use matrices to represent and manipulate data.

- NQ.VMQ.9: Understand properties of matrix multiplication.

- NQ.VMQ.10: Understand the role of zero and identity matrices.

- NQ.VMQ.12: Find determinant of a matrix, use to find area of triangles and parallelogram.

## Technology Standards:

HS.SI.1.3: Evaluate content for relevance to the assigned task.

HS.TT.1.1: Use appropriate technology tools and other resources to access information (multi-database search engines, online primary resources, virtual interviews with content experts).

HS.SI.1.1: Evaluate resources for reliability. (Reliability can be determined by currency, credibility, authority, etc. depending on the curriculum topic).

HS.TT.1.1: Use appropriate technology tools and other resources to access information (multi-database search engines, online primary resources, virtual interviews with content experts).

HS.SI.1.1: Evaluate resources for reliability. (Reliability can be determined by currency, credibility, authority, etc. depending on the curriculum topic).

## Unit Goals:

- The students will use the methods of substitution and graphing to solve systems of equations.

- The students will use definitions and properties to perform operations on matrices.

- The students will use matrices to solve systems of equations, find areas of triangles, and write coded messages.

- The students will use definitions and properties to perform operations on matrices.

- The students will use matrices to solve systems of equations, find areas of triangles, and write coded messages.

## Unit Objectives:- When given systems of equations, the students will be able to solve the systems using substitution and verify this solution by graphing the equations.
- When given systems of linear equations in two variables, the student will be able to solve each system using the method of elimination. - Given the graphs of systems of equations in two variables, the students will be able to interpret the graphs and determine the number of solutions and the consistency of the equations. - Given pairs of matrices, the students will be able to determine whether or not the matrices are equal. - Students should be able to perform operations on matrices such as, adding and subtracting matrices and multiplying the matrices by scalars. - Given problems containing 2x2, square and triangular matrices, the students will be able to describe the process of and find the determinant of each matrix.. - Given problems containing square matrices, the student will be able to define and find the minors and cofactors of each of the matrix. - When given triangles, the students will be able to find the matrix that corresponds to each triangle, find the determinant and use it to find the area of the triangle. - Given systems of equations in matrix form, students should be able to use Cramer's Rule to solve each of the systems. - When given matrices, students will be able use the matrices to encode and decode messages and use the determinants of the matrices to decide whether or not points are collinear. - When given scenarios in the form of a word problem, the student will be able to set up the problem using systems of equations and matrices and solve for the unknown variables. |
## Unit Assessments:- The students will be assessed by a Jeopardy game at the end of the lesson. Each student in each group will be expected to answer one question on their own. The work is not expected to be perfect, but the student should have a good understanding of the process and steps of the substitution method.
- As the students complete the elimination and graphing worksheet, I will walk around the room observing the student’s work and progress. The students must show all work, graphs and if necessary explain the reasoning behind their answers. Students will be chosen to put work on board or answer from their desk at random. Grading will be based on accuracy on the worksheet, as well as the student’s effort to complete the problems and participation in class. The grading scale will be according to that listed with the worksheet. - The students will be assessed on their completion and accuracy of the worksheet. This worksheet will be given at the end of class and will be treated like a quiz. It will assess the student’s knowledge of the content and determine how much time is spent reviewing this material at the beginning of the next class. The grading will be as is listed at the bottom of the quiz. - The students will generate definitions and possible lesson name by studying matrices and the research topics. They should show understanding of determinants, minors and cofactors for bother square, 2x2 and triangular matrices. For assessment, they will be asked to take a short comprehension quiz to determine their understanding of the section and content. - The student will show mastery of the concepts in this unit by creating a cumulative unit project. The project will consist of one page per concept in which the students are to list steps and provide examples for each of the concepts. The goal will be for the students to create a booklet containing the most important things from the chapter that they could use to teach other student's this unit. The students will add things to the project as they are completed. The grading will be according the rubric for the project. |