Adding, Subtracting, and Multiplying Matrices

Learning Resource Type

Learning Activity

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

This learning activity will be used at the end of a lesson on adding, subtracting, and multiplying matrices of appropriate dimensions./p>

This activity results from the ALEX Resource Development Summit.

Phase

After/Explain/Elaborate
Mathematics (2019) Grade(s): 09-12 - Algebra II with Statistics

MA19.A2.4

Add, subtract, and multiply matrices of appropriate dimensions.

UP:MA19.A2.4

Vocabulary

  • Appropriate dimensions

Knowledge

Students know:

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

Skills

Students are able to:

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

Understanding

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.

Body

  1. Add, subtract, and multiply matrices of appropriate dimensions.

Learning Objectives

I can add matrices of appropriate dimensions.

I can subtract matrices of appropriate dimensions.

I can multiply matrices of appropriate dimensions.

 

Activity Details

This activity will be used at the end of a lesson on complex numbers. Students will complete the activity Adding Subtracting, and Multiplying Matrices.  This activity is a final check for students on the mastery of adding, subtracting, and multiplying matrices. Students will complete this activity individually.

Assessment Strategies

The activity Adding Subtracting, and Multiplying Matrices can be used to assess the student's ability to add, subtract, and multiply matrices of appropriate dimensions.

Variation Tips

The learning activity Adding Subtracting, and Multiplying Matrices can be shortened to use the questions as exit slips.

Background / Preparation

Students will need to know how to add, subtract, and multiply matrices of appropriate dimensions. The teacher can add the activity to Google Classroom for the students to view.  The teacher can copy the activity Adding Subtracting, and Multiplying Matrices for the students to write on and turn in.

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