### Unit 8 - Algebra II Curriculum - Math

#### Teacher Resources

#### Investigation 1

- Overview
- Activity 8.1.1 Introduction into Matrices and Matrix Operations
- Activity 8.1.2 Matrix Terminology and Laws for Matrix Operations
- Activity 8.1.3 Using Technology with Matrices
- Activity 8.1.4 Multiplying Matrices and the Inverse of a Matrix
- Activity 8.1.5 Comparing Laws of Matrix Operations with the Laws for Real Numbers

#### Investigation 2

- Overview
- Activity 8.2.1 Vectors and Vector Notation (Color copies required)
- Activity 8.2.2 Vector Components and Decomposition
- Activity 8.2.3 Strategies for Adding Vectors
- Activity 8.2.3b Practice with Resultant Vectors
- Activity 8.2.4 The Zero Vector and Subtracting Vectors
- Activity 8.2.5 Scalar Operations on Vectors

#### Investigation 3

- Overview
- Activity 8.3.1 Matrix multiplication in context
- Activity 8.3.2 Matrix identity crisis
- Activity 8.3.3 A vector is a matrix?
- Activity 8.3.4 Am I your inverse?

#### Investigation 4

- Overview
- Activity 8.4.1 Solving systems of equations with matrix algebra
- Activity 8.4.2 Finding the general formula for the inverse of a 2×2 matrix
- Activity 8.4.3 More contextual applications with matrix algebra
- Activity 8.4.4 Transforming vectors with matrices

#### Investigation 5

- Overview
- Activity 8.5.1 Solving the Recycling Matrix Equation
- Activity 8.5.2 Cofactors, determinants and inverses
- Activity 8.5.3 Solving a 3×3 Contextual Application using Cofactors and Inverses
- Activity 8.5.4 Using Technology to Solve System of Equations with 3×3 Matrices
- Activity 8.5.5 Using Matrices to Find Triangular Areas
- Activity 8.5.6 Using Matrices as Transformations of Points, Lines and Various
*n*-gons