Worksheet
Curated OER

Linear Systems: Orthogonality of Subspaces

For Students Higher Ed
In this subspace activity, students decompose a vector into two orthogonal pieces, one for the nullspace and another for the row space of a matrix. This two-page activity contains explanations, examples, and three problems.
Worksheet
Curated OER

Linear Systems: Matrix Multiplication

For Students Higher Ed
In this matrix multiplication worksheet, students multiply matrices and identify the rotation matrix of a given angle. This two-page worksheet contains examples, explanations and two problems to solve.
Worksheet
Curated OER

Linear Systems; Permutations and Transposes

For Students Higher Ed
For this permutations worksheet, students explore a permutation matrix, symmetric matrix, and the properties of the transpose. This three-page worksheet contains six problems.
Worksheet
Curated OER

Linear Systems: Methods of Computing Determinants

For Students Higher Ed
For this determinant worksheet, students explore the properties of the determinant. They compute determinants by using the co-factor method, the "big formula" and the product of pivots. This two-page worksheet contains explanations,...
Worksheet
Curated OER

Linear Systems: Eigenvalues and Eigenvectors

For Students Higher Ed
In this eigenvalues learning exercise, students find the eigenvalues and eigenvectors of a given matrix. This two-page learning exercise contains examples, explanations and two practice problems.
Worksheet
Curated OER

Linear Systems: Diagonalizing a Matrix

For Students Higher Ed
In this diagonalizing a matrix worksheet, students explore matrix factorization and use diagonal decomposition. This two-page worksheet contains examples, explanations and four practice problems.
Worksheet
Curated OER

Linear Systems and Reviewing for Exam 2

For Students 11th - Higher Ed
In this math worksheet, students practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
Worksheet
Curated OER

Linear Systems: Gauss-Jordan Elimination

For Students Higher Ed
In this Gauss-Jordan worksheet, students use the Gauss-Jordan method to find an identify matrix. This two-page worksheet provides examples, explanations and two practice problems.
Worksheet
Curated OER

Linear Systems: The Inverse Matrix

For Students Higher Ed
In this inverse matrix worksheet, students find the product of matrices. They generate an inverse matrix using the Gauss-Jordan elimination method. This two-page worksheet contains explanations, examples and two practice problems.
Worksheet
Curated OER

Linear Systems: Applications of Eigenvalues and Eigenvectors

For Students Higher Ed
In this eigenvalue and eigenvector activity, students find the eigenvalue and eigenvector of a given matrix. This two-page activity contains four problems.
Worksheet
Curated OER

Linear Systems: Column Space and Nullspace of a Matrix

For Students Higher Ed
In this matrix activity, students find the column space and nullspace of a matrix. They give examples of vectors. This two-page activity contains four problems.
Lesson Plan
Curated OER

Count the Differences

For Teachers 9th - 12th Standards
Learners determine the degree of polynomials.  In this determining the degree of polynomials lesson, students find the difference between consecutive y-values.  Learners find the degree of a linear, quadratic, and cubic...
Worksheet
Curated OER

High School Mathematics Problems from Alaska: AL-CAN Highway Problem

For Students 9th - 12th
Students write and solve equations converting between metric and standard measurement as they travel southeast on the Al-Can Highway.
Lesson Plan
Curated OER

High School Mathematics Problems from Alaska: Tourist and Traveler Information

For Teachers 9th - 12th
High schoolers work with monetary exchange rates and the metric system as they simulate working to help tourists travel through Canada to Alaska.
Lesson Plan
Curated OER

Shopping Spree

For Teachers 6th
Sixth graders examine currency by completing monetary equations.  In this economics lesson, 6th graders participate in a numbers experiment where they roll a die and earn money based on their roll.  Students compete for their...
PPT
Curated OER

Representing Constraints

For Teachers 8th - 10th
What are constraints and how can they be represented mathematically? This instructional slideshow provides an explanation and an example of how to translate constraints into algebraic inequalities.
Activity
Teach Engineering

Sliders (for High School)

For Teachers 9th - 11th Standards
Slip sliding away. Groups investigates the two types of friction by running an experiment that allows them to calculate the coefficient of static friction and the coefficient of kinetic friction. The experiment uses a box, a...
Lesson Plan
Cornell University

Predicting Chemical Reactions

For Teachers 9th - 12th
Prove the Law of Conservation of Mass through a lab investigation. A well-designed lesson asks groups to combine materials and monitor indicators for chemical reactions. Measuring the mass of the reactants and products allows individuals...
Unit Plan
1
1
Curated OER

Unit 2: Global to Local: Understanding My Place in the Hydrosphere

For Teachers 6th - 8th Standards
What does the ground around your home have to do with water pollution? Young ecologists learn about their local watershed and create their own cause-and-effect models of the hydrosphere.
Activity
PBL Pathways

Medical Insurance

For Students 10th - Higher Ed Standards
Design a plan for finding the best health insurance for your money. Learners compare two health plans by writing and graphing piecewise functions representing the plan rules. Using Excel software, they create a technical report...
Assessment
Mathematics Assessment Project

Baseball Jerseys

For Teachers 6th - 8th Standards
Batter up! As an assessment task, learners write linear functions to model the cost of baseball jerseys. They then determine which of two companies would charge a cheaper rate to buy baseball jerseys.
Assessment
Mathematics Assessment Project

Printing Tickets

For Students 8th - 10th Standards
That's the ticket! Pupils write and investigate two linear functions representing the cost of printing tickets. Individuals then determine which of two printing companies would be a better buy.
Activity
1
1
Teach Engineering

Energy and the Pogo Stick

For Teachers 9th - 12th Standards
Let your class bounce to examine the concept elastic potential energy. Individuals bounce on a pogo stick in order to calculate its elastic potential energy. Groups then compare the elastic potential energy to the gravitational...
Lesson Plan
Teach Engineering

Doing the Math: Analysis of Forces in a Truss Bridge

For Teachers 10th - 12th Standards
Join together to investigate truss joints. Scholars learn how to analyze forces at truss joints to determine the strength of truss bridges. They apply the "method of joints" in calculating the tension and compression forces at each joint...

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