Curated OER
Matrix
Students examine characteristics of a matrix. After identifying the determinant of a matrix, students explore the properties of matrix multiplication. They review the properties of matrix multiplication and identify determinants in a...
Curated OER
Least Squares
For this least squares worksheet, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the slope and...
EngageNY
Using Matrix Operations for Encryption
Data encryption is an important security measure for sensitive data stored on computers. Pupils learn how to utilize matrices for creating code. They also get a great review of matrix multiplication, inverse matrices, and the identity...
Curated OER
Magic Squares for Shakespeare's Twelfth Night, Act II, scene 5
Readers of Shakespeare’s Twelfth Night use a magic squares matrix to match vocabulary words from Act II, Scene 5 with their definitions. An answer key is provided.
EngageNY
Getting a Handle on New Transformations 1
In the first of a two-day lesson 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 the...
EngageNY
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...
Curated OER
Linear Systems: Matrix Operations
In this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.
EngageNY
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
More on Least Squares
In this least squares instructional activity, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2...
Curated OER
Linear Systems: Reduced Row Echelon Matrix
For this echelon matrix worksheet, learners find the nullspace of matrices by finding the reduced row echelon. This two-page worksheet contains explanations, examples and six problems to complete.
Curated OER
Numerical Analysis: Discrete Least Squares
In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.
Curated OER
Multiplying Matrices
Go over the basics of matrix multiplication, from checking the dimension of the factors, to applying the distributive property. This activity includes directions on when and how to multiply matrices, one example, and a few problems your...
Texas Instruments
The Determinant of a Matrix
Students calculate the determinant. In this algebra lesson, students find the determinant and use to calculate the area of a triangle. They calculate the area of a quadrilateral in a plane.
Curated OER
Matrices
In this Algebra II worksheet, 11th graders determine if matrices are inverses, multiply matrices, and solve matrix equations. The three page worksheet contains explanation of topic, worked examples, and five practice problems. Answers...
Curated OER
Cramer's Rule
In this Cramer's Rule worksheet, students first evaluate five determinants or square matrix. Then they solve the last five problems by applying Cramer's Rule. Students identify and define Cramer's Rule as a theorem used with linear...
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...
Agriculture in the Classroom
Roll of the Genes
Animal reproduction in sheep and cattle is explored with the help of Punnet squares. Scholars employ tools using probability to conclude the color of wool a sheep's offspring will have. Acting as animal geneticists, pupils then take...
Curated OER
Linear Systems: Least Squares Approximations
In this least squares approximation worksheet, students use linear algebra to find the least square error and the equation of a line for given points. They find the equation of a parabola through provided points. This four-page...
Curated OER
Equations and Inequalities
In this equations and inequalities review worksheet, 11th graders solve and complete 100 various types of problems. First, they solve each equation using the quadratic formula or completing the square. Then, students solve using matrices...
EngageNY
Composition of Linear Transformations 1
Learners discover that multiplying transformation matrices produces a composition of transformations. Using software, they map the transformations and relate their findings to the matrices.
EngageNY
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,...
Curated OER
Magic Square
In this algebra worksheet, 9th graders solve a riddle like puzzle involving matrices and linear equations. They have to find the missing numbers in the square, using the given numbers.
Curated OER
Matrix Math
Tenth graders practice adding, subtracting, and multiplying matrices. After completing and reviewing bell ringer problems they review homework from night before and discuss any questions. Students are introduced to new matrix...
Curated OER
Magic Squares
In this magic squares worksheet, students solve 3 different magic squares shown on the sheet. First, they identify the numbers already used in each square. Then, students determine which number goes in each blank to equal the same sum in...