EngageNY
Matrix Multiplication Is Not Commutative
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
EngageNY
Matrix Addition Is Commutative
Explore properties of addition as they relate to matrices. Using graphical representations of vector matrices, scholars test the commutative and associative properties of addition. They determine if the properties are consistent for...
EngageNY
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...
Curated OER
Easy Worksheets: Properties 2
In this properties learning exercise, students solve 28 short answer problems. Students identify the property illustrated by the example. Students identify the associative, commutative, distributive, etc properties.
Curated OER
Taxes and Sales
Collaborative discussions around this retail store problem will be taxing. Calculating discount and tax and the order of the operations are used to motivate an opportunity for learners to make a convincing argument using algebraic...
Curated OER
Linear Systems: Graphical Interpretation of Vectors and Linear Systems
In this interpretation of vectors and linear systems activity, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of vector...
EngageNY
Matrix Multiplication Is Distributive and Associative
Learn the ins and outs of matrix multiplication. After discovering the commutative property does not apply to matrix multiplication in a previous lesson plan in the series, pupils now test the associative and distributive properties. The...
Blogger
Properties of Real Numbers
Three tables, prepared for learners to write notes about the properties of real numbers, are squeezed onto one printable. The addition and multiplication of real numbers are the focus of the notes.
CK-12 Foundation
Multiplying Polynomials
Help your class find patterns in polynomial multiplication. Pupils multiply a trinomial by a binomial using a graphic organizer. They respond to questions about patterns observed in polynomial multiplication before a discussion question...
CK-12 Foundation
Vector Subtraction
Move vectors to determine their difference. Pupils use an interactive to visualize the opposite of a vector. They use the concept of adding vectors to subtract vectors by adding the opposite and, finally, view the differences of the...
Curated OER
Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors worksheet, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
Curated OER
Linear Systems
In this multiplication of vectors activity, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm orthogonality.
National Council of Teachers of Mathematics
Cash or Gas?
Which option provides the best payout? Pupils predict which lottery prize to take. They devise a method to calculate which prize would likely provide the greatest monetary value.
Curated OER
Linear Systems: Matrix Operations
This matrix operations worksheet covers topics such as matrix addition, multiplication and properties such as associative, commutative and distributive. Students give examples and counter examples of matrix addition and multiplication. ...
Curated OER
Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors worksheet, students explore the geometrical appearance of given problems, determine if vector subtraction is commutative and graph a system of equations. This three-page worksheet contains...
Curated OER
Easy Worksheet: Properties 3
In this properties worksheet, students solve 30 short answer problems. Students identify the math property illustrated by the given example. Students write the correct property such as commutative or associative for each example.
Curated OER
Matrix Operations
In this matrix operations worksheet, students solve 3 different sets of problems that include matrix operations. They solve each matrices and explain the relation between the computed matrices in each problem. Then, students prove or...
Alabama Learning Exchange
Imaginary Numbers? What Do You Mean Imaginary?
Don't worry, this resource actually exists. Scholars learn about imaginary numbers and work on problems simplifying square roots of negative numbers. As an extension, they research the history of imaginary numbers.
EngageNY
Complex Numbers and Transformations
Your learners combine their knowledge of real and imaginary numbers and matrices in an activity containing thirty lessons, two assessments (mid-module and end module), and their corresponding rubrics. Centered on complex numbers and...
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
University of Kansas
Exponential and Logarithm Problems
This worksheet manages to provide both fun and serious work solving exponential and logarithmic application problems in engaging story lines and real-life situations. A strong emphasis on science applications and numbers pulled straight...
Thomson Brooks-Core
Complex Numbers
A straightforward approach to teaching complex numbers, this lesson addresses the concepts of complex numbers, polar coordinates, Euler's formula, De moivres Theorem, and more. It includes a practice problems set with odd answers and a...
EngageNY
A Surprising Boost from Geometry
Working with imaginary numbers — this is where it gets complex! After exploring the graph of complex numbers, learners simplify them using addition, subtraction, and multiplication.
EngageNY
Matrix Arithmetic in Its Own Right
Matrix multiplication can seem random to pupils. Here's a instructional activity that uses a real-life example situation to reinforce the purpose of matrix multiplication. Learners discover how to multiply matrices and relate the process...
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