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Matrix Multiplication and Addition
To commute or not to commute, that is the question. The 26th segment in a 32-segment lesson focuses on the effect of performing one transformation after another one. The pupils develop the procedure in order to multiply two 2 X 2...
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The Hunt for Better Notation
The matrix — it's not just a movie. The lesson introduces the concept of 2 x 2 matrix multiplication as a way to represent linear transformations. Class members determine when a linear transformation represented as matrix multiplication...
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Matrix Notation Encompasses New Transformations!
Class members make a real connection to matrices in the 25th part of a series of 32 by looking at the identity matrix and making the connection to the multiplicative identity in the real numbers. Pupils explore different matrices and...
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Modeling Video Game Motion with Matrices 1
Video game characters move straight with matrices. The first day of a two-day instructional activity introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine...
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Modeling Video Game Motion with Matrices 2
The second day of a two-part lesson plan on motion introduces the class to circular motion. Pupils learn how to incorporate a time parameter into the rotational matrix transformations they already know. The 24th installment in the...
Curated OER
Matrix Multiplication
In this matrix multiplication worksheet, 11th graders solve and complete 8 different problems that include a number of steps in an activity. First, they use the matrix illustrated to respond to various questions referring to it. Then,...
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When Can We Reverse a Transformation? 3
When working with matrix multiplication, it all comes back around. The 31st portion of the unit is the third lesson plan on inverse matrices. The resource reviews the concepts of inverses and how to find them from the previous two...
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Matrix Multiplication
For this matrix multiplication worksheet, learners multiply matrices containing two to ten terms. Explanations and examples are provided prior to the exercise. This five-page worksheet contains ten problems.
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Getting a Handle on New Transformations 2
Use 2x2 matrices to move along a line. The second day of a two-day activity is the 28th installment in a 32-part unit. Pupils work together to create and solve systems of equations that will map a transformation to a given point. The...
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Getting a Handle on New Transformations 1
In the first of a two-day lesson plan on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding...
Curated OER
Multiplication Matrix
In this finding the products worksheet, students solve multiplication facts to fill in the blanks in the twelve by twelve grid. Students solve 144 problems.
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Matrix Equation
In this matrix equation, students use matrix multiplication to solve matrix equations. Each equation contains a two-by-two matrix. This one-page worksheet is comprised of ten multiplication problems.
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When Can We Reverse a Transformation? 2
The second lesson plan on finding inverse matrices asks class members to look for a pattern in the inverse matrix and test it to see if it works for all matrices. The teacher leads a discussion to refine the process in finding inverses,...
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When Can We Reverse a Transformation? 1
Wait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant...
Curated OER
Multiplying Matrices
In this multiplying matrices worksheet, 11th graders solve and complete 11 different problems that include 3 word problems. First, they determine the dimensions of each matrix product. Then, students multiply each of the given matrices....
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Matrix Multiplication
In this Algebra II worksheet, 11th graders investigate matrix multiplication. The two page worksheet includes instructions and examples and two problems. Solutions are included.
Curated OER
Multiplying Matrices
Go over the basics of matrix multiplication, from checking the dimension of the factors, to applying the distributive property. This worksheet includes directions on when and how to multiply matrices, one example, and a few problems your...
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Linear Systems: Matrix Multiplication
In this matrix multiplication learning exercise, students multiply matrices and identify the rotation matrix of a given angle. This two-page learning exercise contains examples, explanations and two problems to solve.
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Matrix Multiplication
In this algebra worksheet, learners multiply matrices using the rules for multiplication. If a matrix cannot me multiplied, they write "undefined". There are 16 questions with an answer key.
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Multivariable Calculus: Linear Systems
In this linear systems worksheet, learners perform matrix multiplication. This two-page worksheet contains examples, explanations, definitions, and four problems.
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Heat Index Formula
In this heat index formula instructional activity, high schoolers find the heat index for 3 scenarios. Students use matrix multiplication to determine the heat index given temperature and relative humidity.
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Mid-Module Assessment Task: Pre-Calculus Module 2
Assess your classes' knowledge using questions that require high-level thinking and explanation. Learners use matrices to answer application questions. They also demonstrate their understanding of matrix operations.
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End-of-Module Assessment Task — Precalculus (Module 1)
A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...
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Choosing a College
How can mathematics help scholars choose a college? High schoolers learn how they can use decision matrices to rank colleges based on selected criteria. They also see how to weigh criteria using multiplication of the decision matrix by a...