Curated OER
Linear Systems: Orthogonality of Subspaces
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.
Curated OER
Linear Systems: Matrix Multiplication
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.
Curated OER
Linear Systems; Permutations and Transposes
For this permutations worksheet, students explore a permutation matrix, symmetric matrix, and the properties of the transpose. This three-page worksheet contains six problems.
Curated OER
Linear Systems: Methods of Computing Determinants
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,...
Curated OER
Linear Systems: Eigenvalues and Eigenvectors
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.
Curated OER
Linear Systems: Diagonalizing a Matrix
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.
Curated OER
Linear Systems and Reviewing for Exam 2
In this math worksheet, students practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
Curated OER
Linear Systems: Gauss-Jordan Elimination
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.
Curated OER
Linear Systems: The Inverse Matrix
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.
Curated OER
Linear Systems: Applications of Eigenvalues and Eigenvectors
In this eigenvalue and eigenvector activity, students find the eigenvalue and eigenvector of a given matrix. This two-page activity contains four problems.
Curated OER
Linear Systems: Column Space and Nullspace of a Matrix
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.
Curated OER
Count the Differences
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...
Curated OER
High School Mathematics Problems from Alaska: AL-CAN Highway Problem
Students write and solve equations converting between metric and standard measurement as they travel southeast on the Al-Can Highway.
Curated OER
High School Mathematics Problems from Alaska: Tourist and Traveler Information
High schoolers work with monetary exchange rates and the metric system as they simulate working to help tourists travel through Canada to Alaska.
Curated OER
Shopping Spree
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...
Curated OER
Representing Constraints
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.
Teach Engineering
Sliders (for High School)
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...
Cornell University
Predicting Chemical Reactions
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...
Curated OER
Unit 2: Global to Local: Understanding My Place in the Hydrosphere
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.
PBL Pathways
Medical Insurance
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...
Mathematics Assessment Project
Baseball Jerseys
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.
Mathematics Assessment Project
Printing Tickets
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.
Teach Engineering
Energy and the Pogo Stick
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...
Teach Engineering
Doing the Math: Analysis of Forces in a Truss Bridge
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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