Advanced Algebra Agenda: Matrices and Linear Programming

Week of: 12/2

*for additional curriculum information, please visit the district's resource High School Pacing Guides  or Georgia Standards

Course Name:Advanced Algebra

Monday

AA.PAR.6.1 Use matrices to represent data, and perform mathematical operations with matrices and scalars, demonstrating that some properties of real numbers hold for matrices, but that others do not.

LT: 

• I can perform matrix arithmetic

 SC:

• I can add two matrices with the same dimensions

• I can subtract two matrices with the same dimensions

• I can multiply a matrix by a scalar

• I can identify the order of a matrix

Lesson/Activity: 

Engage: Matrix Vocabulary

Explore: Guided notes matrix arithmetic

Apply: IXL Matrix Operations

Reflect: Finish IXL assignment

Resources: Guided notes, IXL

Tuesday

AA.PAR.6.1 Use matrices to represent data, and perform mathematical operations with matrices and scalars, demonstrating that some properties of real numbers hold for matrices, but that others do not.

LT: 

• I can perform matrix arithmetic

 SC:

• I can identify the order of a matrix

• I can determine if 2 matrices can be multiplied based on their order

• I can multiply matrices

Lesson/Activity: 

Engage: Matrix arithmetic

Explore: Guided notes matrix multiplication

Apply: DeltaMath  Matrix Operations

Reflect: DeltaMath assignment

Resources: Guided notes,  DeltaMath

Wednesday

AA.PAR.6.3 Use the inverse of an invertible matrix to solve systems of linear equations.

LT: 

• I can use matrix inverses to solve systems of equations

 SC:

• I can find the inverse of a matrix

• I can multiply a matrix by its inverse

Lesson/Activity: 

Engage: Review inverse operations

Explore: Guided notes on solving systems of equations using matrices

Apply: Worksheet on solving systems of equations using matrices

Reflect: TOTD

Resources: Worksheet, Guided Notes

Thursday

AA.PAR.6.4 Utilize linear programming to represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret data points as solutions or non-solutions under the established constraints in real-world problems.

LT: 

• I can solve application problems using systems of equations

 SC:

• I can create a matrix to represent a system of equations

• I can find the inverse of a matrix

• I can use constraints to determine if a solution is feasible

Lesson/Activity: 

Engage: Solving systems of equations with matrices

Explore: Sample questions from walk around assignment

Apply: Finish walk around assignment

Reflect: TOTD

Resources: TOTD

Friday

AA.PAR.6.1 Use matrices to represent data, and perform mathematical operations with matrices and scalars, demonstrating that some properties of real numbers hold for matrices, but that others do not. AA.PAR.6.2 Rewrite a system of linear equations using a matrix representation. AA.PAR.6.3 Use the inverse of an invertible matrix to solve systems of linear equations. AA.PAR.6.4 Utilize linear programming to represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret data points as solutions or non-solutions under the established constraints in real-world problems. 

LT: 

 SC:

Lesson/Activity: 

Engage: 

Explore: 

Apply: Unit 6 Test

Reflect: 

Resources: Test