Lesson Plan ID: 
33241 
Title: 
Matrices, We Don't Die, We Multipy! 
Overview/Annotation: 
This lesson allows students to Multiply Matrices by scalars and Multiply Square Matrices. Students will work cooperatively to develop and justify ideas/conjectures. This is a College and CareerReady Standards showcase lesson plan. 
Content Standard(s): 
MA2013(912) Algebra II with Trigonometry  8. (+) Multiply matrices by scalars to produce new matrices, e.g., as when all of the payoffs in a game are doubled. [NVM7]  MA2013(912) Algebra II with Trigonometry  9. (+) Add, subtract, and multiply matrices of appropriate dimensions. [NVM8] 

Local/National Standards: 
 Standard 1: Make sense of problems and persevere in solving them
 Standard 2: Reason abstractly and quantitatively
 Standard 3: Construct viable arguments and critique the reasoning of others
 Standard 4: Model with mathematics
 Standard 5: Use appropriate tools strategically
 Standard 6: Attend to precision
 Standard 7: Look for and make use of structure
 Standard 8: Look for and express regularity in repeated reasoning

Primary Learning Objective(s): 
Students will discover and use the process for multiplying square matrices. Students will be given Multiplication Matrix problems with step by step work with solutions. Students will use steps and solutions to derive strategies for the problems. Students will eventually solve problems and justify reasoning for developed discoveries. 
Additional Learning Objective(s): 
Students will work cooperatively to discover patterns or strategies for multiplying square matrices. Students will verify conclusions by showing relationships of matrix entries with rows and columns. Students will document strategies and support with evidence/reasoning. 
Approximate Duration of the Lesson: 
31 to 60 Minutes 
Materials and Equipment: 
Poster Paper or Poster with grid lines, sticky notes of different types, straight edge, markers, exit slips, student may use their own devices or teacher issued graphing calculators. 
Technology Resources Needed: 
Computer with Internet access, LCD Projector and Document camera to share student work (helpful but not necessary.) Smartview with calculator may be needed. 
Background/Preparation: 
Teachers  Have graphing calculator ready to be assigned.
 Have Matrices with step by step work and solutions for Multiplying
 Have all poster paper, markers, etc. ready for student use
Students:  Algebra students should be able to Add, Subtract, Multiply and Divide Real Numbers.
 Students should be familiar with identifying dimensions of Matrices, adding/subtracting Matrices and have some knowledge of using the graphing calculators.

Procedures/Activities: 
ENGAGE
As students enter the classroom, they should be given a group indicator that tells where to sit. Students will watch clips as a class: Scalar Multiplication, Scalar Matrix Multiplication, Multiply a Matrix by a Matrix from this websites
https://www.khanacademy.org/math/algebra/algebramatrices/Basic_matrix_operations/e/scalar_matrix_multiplication
https://www.khanacademy.org/math/algebra/algebramatrices/matrix_multiplication/e/multiplying_a_matrix_by_a_matrix
Students will listen and jot down important ideas. Inform the students that their mission will be to determine the process for multiplying Matrices.
EXPLORE
Student groups will receive scalar and matrix multiplication problems with stepbystep work and solutions. Students should develop strategies for solving these matrices. Student groups will have matrix problems and solutions of square and different size matrices. They should record these findings on their own paper (this information is to be placed on poster paper and problems can be keyed into their graphing calculators if needed).
The students should determine if their strategies are reputable and mathematically sound. They should look for patterns and list them on chart paper. The groups must agree on findings and be able to justify.
If students are unable to understand Matrices and dimensions, provide necessary feedback to move them forward with their thinking. Refer to the previous clips again for review.
EXPLAIN
The teacher should be sure that students are using Matrices and dimensions correctly.
Groups will discuss strategies discovered and begin justifying their ideas; Groups can use graphing calculators to input matrices for further justification.
Allow students time to prepare attractive posters to share with class to begin discussions about multiplying matrices, along with having the groups share their findings using the Smartview function of the calculator. Student Groups will receive exit slip the last 10 minutes of class. This should be turned in to the teacher as the groups exit the class.

Attachments:**Some files will display in a new window. Others will prompt you to download. 
MatrixMultExitSlip.docx

Assessment Strategies: 
Use the exit slip provided in the last 10 minutes of class to assess student work individually and as a group. Students should justify all reasoning. Exit slips are to be shared with the class the next day at the beginning of class. The assessment process is ongoing. The teacher should visit each group while students are preparing posters for justified reasoning and ask questions to make sure students understand the process for multiplying matrices. Post the posters in the classroom and have students present conclusions. As students present posters, they should compare posters for other information not listed on their group's poster. 
Extension: 

Remediation: 


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
shortterm 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.

Variations Submitted by ALEX Users: 
