ALEX Classroom Resource

Students:

• Given a contextual situation, represent the data in a matrix and interpret the value of each entry.

Students know:

• The aspects of a matrix with regard to entries, rows, columns, dimensions, elements, and subscript notations.

Students are able to:

• Translate data into a matrix.

Students understand that:

• A matrix is a tool that can help to organize, manipulate, and interpret data.

Learning Objectives:
ALGII.2.1: Define matrix.
ALGII.2.2: Organize data into a matrix using rows and columns.

Students:
Given two matrices,

• Determine whether arithmetic operations (add, subtract, multiply) are defined.
• Perform arithmetic (add, subtract, multiply) operations to form new matrices.

Students know:

• The aspects of a matrix with regard to entries, rows, columns, dimensions, elements, and subscript notations.

Students are able to:

• Strategically choose and apply appropriate representations of matrices on which arithmetic operations can be performed.

Students understand that:

• Matrix addition and subtraction may be performed only if the matrices have the same dimensions.
• Matrix multiplication can be performed only when the number of columns in the first matrix equal the number of rows in the second matrix.
• There are many contextual situations where arithmetic operations on matrices allow us to solve problems.

Learning Objectives:
ALGII.4.1: Multiply matrices of appropriate dimensions.
ALGII.4.2: Subtract matrices of appropriate dimensions.
ALGII.4.3: Add matrices of appropriate dimensions.