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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...
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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...
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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...
PBL Pathways
Biscuits
Calculate the nutrients in different types of dog biscuits. Pupils create a technical report outlining the amount of calcium, protein, and carbohydrates in three types of dog biscuits. The project-based learning activity requires...
Curated OER
Matrix Multiplication
Students identify, analyze, and multiply matrices. They determine if various indicated operations are possible through classroom discussion and practice. Finally, students determine matrix product dimensions through problem-solving...
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Determinants: 2x2 and 3x3 Matrices
In this Algebra II worksheet, 11th graders find the determinant of 2x2 or 3x3 matrix and use the determinant to find the inverse of the matrix. The two page worksheet contains explanation of topic, a worked example, and three practice...
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Triangle in the Matrix
Young mathematicians represent a triangle with a matrix and use the determinant to find the area of three given triangles. Learners also verify the formula for area of a triangle.
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Topic 4.4 - Matrices and Determinants
In this determinant instructional activity, students find the determinants of each matrix. They use diagonals and the expansion by minors method to help. There are 10 problems on this instructional activity.
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Topic 4.5 - Identity and Inverse Matrices
In this inverse matrix instructional activity, students find the inverse of 9 matrices. If the inverse does not exist, they explain why. Students then determine whether each of 4 inverse statements is true or false.
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Matrices and Vectors
In this matrices and vectors worksheet, students solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...
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Multivariable Calculus: Linear Systems
In this linear system worksheet, learners compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page worksheet contains examples, explanations, and three multi-step...
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Multivariable Calculus Bonus Quiz 3, Determinants
in this math activity, students practice finding the determinant for each matrix. Then they use the solutions to develop a hypothesis for the determinants.
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Linear Systems: Applications of Determinants
In this determinant worksheet, students explore determinants, area and volume. This two-page worksheet contains explanations and examples. It provides two problems for students to solve.
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Data Analysis
In this data analysis learning exercise, learners solve and complete 6 different problems that include using various types of data analysis. First, they create a stem-and-leaf plot of the ratios shown at the top and determine the mean,...
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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...
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Matrices
For this matrices worksheet, 11th graders solve and complete 25 different problems. First, they use the given matrices to write the dimension of a matrix. Then, students add the matrices and find the scalar product. In addition, they...
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Linear Systems: The Determinant
In this determinant activity, students explore the determinant of a matrix. After examining the given examples and explanations, they find the determinants of given matrices. This two-page activity contains nine problems.
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Solving Linear Systems Using Matrices
Start with the definition of a determinant and how to evaluate a 2x2 determinant. Apply this skill to solve systems of two equations with two unknowns by using Cramer's rule. These four basic problems would be good for a quick review or...
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Calculations at the Crazy Cookie Company
Learners explore matrix multiplication and problem solve using matrix multiplication. They design a table that will display cost and profit for three cookie stores.
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Academic Algebra II Test Chapter 4
In this algebra worksheet, learners solve systems of equations. They evaluate matrix problems and identify the determinant. This two-page worksheet contains 13 problems.
EngageNY
Designing Your Own Game
Your classes become video game designers for a day! They utilize their matrices, vectors, and transformation skills to create and design their own game images. The complex task requires learners to apply multiple concepts to create their...
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Linear Systems: Matrix Inverse
For this linear systems worksheet students multiply matrices and find the coefficient matrix in the upper-triangular form. This four-page worksheet contains approximately four problems, with examples and explanations.
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Linear Systems and Reviewing for Exam 2
In this math learning exercise, students practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
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Algebra 2 Test
In this algebra 2 worksheet, students solve 13 systems of equations where they must identify and solve problems using matrices. This would be a great review worksheet.