ALEX Lesson Plan

     

Add, Subtract, and Multiply Matrices

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  This lesson provided by:  
Author:Morgan Boyd
System: Dothan City
School: Honeysuckle Middle School
  General Lesson Information  
Lesson Plan ID: 35674

Title:

Add, Subtract, and Multiply Matrices

Overview/Annotation:

The lesson will introduce the concept of a matrix. The matrix is labeled by its rows and columns. This lesson will teach the concept of adding, subtracting, scalar multiplication, and multiplication of matrices. This lesson will be a prerequisite for solving systems of equations with matrices.

This lesson results from the ALEX Resource Gap Project.

 Associated Standards and Objectives 
Content Standard(s):
Mathematics
MA2015 (2015)
Grade: 9-12
Algebra II
9 ) (+) Add, subtract, and multiply matrices of appropriate dimensions. [N-VM8]

Mathematics
MA2015 (2015)
Grade: 9-12
Algebra II with Trigonometry
9 ) (+) Add, subtract, and multiply matrices of appropriate dimensions. [N-VM8]

Local/National Standards:

 

Primary Learning Objective(s):

The student will be able to multiply a scalar by a matrix.

The student will be able to add matrices.

The student will be able to subtract matrices.

The student will be able to multiply matrices.

Additional Learning Objective(s):

 
 Preparation Information 

Total Duration:

61 to 90 Minutes

Materials and Resources:

Pencil

Notebook

Algebra II textbook (student and teacher edition)

Calculator (graphing, if available)

Bell Ringer Matrices (in attachments)

Website for scalar multiplication with matrices:

https://www.khanacademy.org/math/precalculus/precalc-matrices/multiplying-matrices-by-scalars/v/scalar-multiplication

Website for adding and subtracting matrices:

https://www.khanacademy.org/math/precalculus/precalc-matrices/adding-and-subtracting-matrices/v/matrix-addition-and-subtraction-1

Website for multiplying matrices:

https://www.khanacademy.org/math/precalculus/precalc-matrices/multiplying-matrices-by-matrices/v/matrix-multiplication-intro

Worksheets to be copied for all students:

Exit Slip

http://www.math-aids.com/cgi/pdf_viewer_12.cgi?script_name=algebra2_matrices_mixedops.pl&elemType=0&undefType=2&language=0&memo=&answer=1&x=125&y=14 

Adding and Subtracting

http://www.math-aids.com/cgi/pdf_viewer_12.cgi?script_name=algebra2_matrices_basicOps.pl&elemType=0&undefType=2&language=0&memo=&answer=1&x=75&y=24

Multiplying Matrices

http://www.math-aids.com/cgi/pdf_viewer_12.cgi?script_name=algebra2_matrices_matrMult.pl&elemType=0&undefType=2&language=0&memo=&answer=1&x=122&y=18

Worksheet for Accelerated Students: copy as needed

https://www.mathworksheets4kids.com/matrices/multiplication/18.pdf

Technology Resources Needed:

Desktop computer/Interactive Whiteboard

Graphing Calculator, if available

Background/Preparation:

Teacher:

The teacher will need to preview the videos and other materials on the Khan Academy website. The website has interactive sessions after the introduction. The teacher can pick and choose the problems and material according to the skill level of the class.

Student:

The student needs to know that matrices are labeled by their dimensions like pieces of wood. An example is a 4 x 8 piece of plywood. The student needs to be able to write linear equations in standard form.

  Procedures/Activities: 

Before:

As the students enter the classroom, the teacher will place the bell ringer, "Bell Ringer Matrices", from the attachment section on the interactive whiteboard. The teacher will give the students 3 minutes to complete. The teacher will give the students 1 minute to talk with a partner. The teacher will ask for suggestions from the class. The answers are in white. The teacher will highlight below “Answers” and change the color to reveal the answers.

During:

  1. The teacher will start the first presentation from Khan Academy: https://www.khanacademy.org/math/precalculus/precalc-matrices/multiplying-matrices-by-scalars/v/scalar-multiplication. The teacher will continue through the entire lesson, if necessary. The teacher will do informal assessments while working the interactive examples from the website.
  2. The teacher will use the textbook for more examples of scalar multiplication. The teacher will call on students to work on the interactive whiteboard.
  3. The teacher will start the second presentation from Khan Academy: https://www.khanacademy.org/math/precalculus/precalc-matrices/adding-and-subtracting-matrices/v/matrix-addition-and-subtraction-1. The teacher will continue through the entire lesson, if necessary. The teacher will do informal assessments while working the interactive examples from the website.
  4. The teacher will use the textbook for more examples of adding and subtracting matrices. The teacher will call on students to work on the interactive whiteboard.
  5. The teacher will start the third presentation from Khan Academy: https://www.khanacademy.org/math/precalculus/precalc-matrices/multiplying-matrices-by-matrices/v/matrix-multiplication-intro. The teacher will continue through the entire lesson, if necessary. The teacher will do informal assessments while working the interactive examples from the website.
  6. The teacher will use the textbook for more examples of matrix multiplication. The teacher will call on students to work on the interactive whiteboard.
  7. The teacher will hand out the worksheet from Math-Aids, 

    Adding and Subtracting

    http://www.math-aids.com/cgi/pdf_viewer_12.cgi?script_name=algebra2_matrices_basicOps.pl&elemType=0&undefType=2&language=0&memo=&answer=1&x=75&y=24

    Multiplying Matrices

    http://www.math-aids.com/cgi/pdf_viewer_12.cgi?script_name=algebra2_matrices_matrMult.pl&elemType=0&undefType=2&language=0&memo=&answer=1&x=122&y=18


  8. The students will work with partners. The teacher will select students to write answers on the interactive whiteboard. The teacher will monitor student work for an informal assessment. 

After:

The teacher will use the exit slip from Math-Aids, 

Exit Slip

http://www.math-aids.com/cgi/pdf_viewer_12.cgi?script_name=algebra2_matrices_mixedops.pl&elemType=0&undefType=2&language=0&memo=&answer=1&x=125&y=14 



Attachments:
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  Assessment  

Assessment Strategies

Informal:

The teacher will solicit questions while the students are watching Khan Academy. The teacher will ask students to answer the interactive questions. The teacher will monitor the students as they work with a partner.

Formal:

The teacher will grade the exit slip from the material section from Math-Aids.

Acceleration:

Worksheet for Accelerated Students: copy as needed

https://www.mathworksheets4kids.com/matrices/multiplication/18.pdf

Intervention:

The students will work with partners and the teacher will do one-on-one instruction as needed. 

Each area below is a direct link to general teaching strategies/classroom accommodations for students with identified learning and/or behavior problems such as: reading or math performance below grade level; test or classroom assignments/quizzes at a failing level; failure to complete assignments independently; difficulty with short-term memory, abstract concepts, staying on task, or following directions; poor peer interaction or temper tantrums, and other learning or behavior problems.

Presentation of Material Environment
Time Demands Materials
Attention Using Groups and Peers
Assisting the Reluctant Starter Dealing with Inappropriate Behavior
Be sure to check the student's IEP for specific accommodations.