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- HSA-REI.C.5Prove 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.
- HSA-REI.C.6Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
- HSA-REI.C.7Solve 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 = -3x and the circle x<sup>2</sup> + y<sup>2</sup> = 3.
- HSA-REI.C.8(+) Represent a system of linear equations as a single matrix equation in a vector variable.
- HSA-REI.C.9(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).

Manufacturing Cat Toys (Day 1 of 2)

12th Grade Math

» Unit:

Matrices and Systems

Big Idea:Get students thinking about how to solve systems of equations using matrices.

Manufacturing Cat Toys (Day 2 of 2)

12th Grade Math

» Unit:

Matrices and Systems

Big Idea:We can set up matrix equations - now it is time to solve them!

Final Exam Review Stations (Day 1 of 3)

12th Grade Math

» Unit:

Review

Big Idea:Students review by working through various stations at their own pace and receive immediate feedback on their work.

Applications of Inverses - Decoding

12th Grade Math

» Unit:

Matrices

Big Idea:Students use matrices to decode messages that lead to a hidden treasure in the classroom.

Formative Assessment: Systems of Equations and Inequalities

12th Grade Math

» Unit:

Matrices and Systems

Big Idea:A quick assessment will give you and your students feedback about the second half of the unit.

Matrices Test Review

12th Grade Math

» Unit:

Matrices

Big Idea:Students answer questions on their personal response systems to guide the review for the test.

Cramers Rule - Solving Systems of Equations

12th Grade Math

» Unit:

Matrices

Big Idea:Students find their love (if they didn’t find it yesterday) for matrices when they learn how much easier solving systems of equations can be.

Solving Systems of Equations using Inverse Matrix Operations

12th Grade Math

» Unit:

Matrices

Big Idea:Students find their love for matrices when they learn how much easier solving systems of equations can be!

Inverses of Matrices

12th Grade Math

» Unit:

Matrices

Big Idea:Students discover how to find the inverse of a matrix by analyzing the relationships between matrices and their inverses.

Unit Review and Cryptography

12th Grade Math

» Unit:

Matrices and Systems

Big Idea:Cryptography is a good culminating activity for this unit.

Hop on the Carousel

12th Grade Math

» Unit:

Matrices and Systems

Big Idea:Use a group activity to help students make sense of solving systems with matrices.

Use Matrices to Solve System of Equations

12th Grade Math

» Unit:

Matrices

Big Idea:By analyzing how to solve equations with inverses students will see how to use matrices to solve system of equations with many variables.

Inverses and Determinants

12th Grade Math

» Unit:

Matrices

Big Idea:After discovering how to find the determinant students will use it to find inverses of 2X2 matrices.

Matrices Exam

12th Grade Math

» Unit:

Matrices

Big Idea:Students will demonstrate their learning of Matrices in this formal assessment.

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.

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.

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 = -3x and the circle x^{2} + y^{2} = 3.

HSA-REI.C.8

(+) Represent a system of linear equations as a single matrix equation in a vector variable.

HSA-REI.C.9

(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).