PBL Pathways
Gas Prices
How can math help your vehicle run better? Complete an interesting project-based learning task with your classes to determine the cheapest approach to mixing the ideal octane level of gasoline. Scholars create and solve a system of...
Curated OER
Multivariable Calculus: Implicit Differentiation
In this implicit differentiation worksheet, students compute the determinant of the Jacobian matrix and solve equations by implicit differentiation. This two-page worksheet contains definitions, examples, and explanations. It contains...
Curated OER
Linear Systems: LU Decomposition
In this LU decomposition activity, students multiply matrices, identify the elimination matrices, and the inverse of a matrix. This three-page activity contains approximately six problems.
Curated OER
Academic Algebra II Test Chapter 4
In this algebra worksheet, students solve systems of equations. They evaluate matrix problems and identify the determinant. This two-page worksheet contains 13 problems.
Curated OER
Linear Equations and Matrices
Young scholars solve systems of equations. In this precalculus lesson,students solve linear equations using matrices. They use the Gaussian elimination method to identify the missing variables and simplify the linear equations.
Curated OER
Linear Systems Review Problems
In this linear systems activity, students identify the requirements for two linear systems to have at least one solution. They find a matrix with no zero entries that has the given fully reduced form. Students use row reduction to...
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.
Rice University
Precalculus
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
Rice University
College Algebra
Is there more to college algebra than this? Even though the eBook is designed for a college algebra course, there are several topics that align to Algebra II or Pre-calculus courses. Topics begin with linear equation and inequalities,...
Mathematics Vision Project
Module 5: Systems of Equations and Inequalities
Systems of equations and inequalities model contextual situations. A set of 12 lessons build a solid understanding of writing and solving systems of equations and inequalities using a variety of methods. The module is the fifth in a...
Curated OER
Coded Messages
Students solve matrices by multiplication. In this algebra lesson, students create coded messages and relate it to solving matrices. They multiply and find the inverse of matrices.
Curated OER
Traveling Cart Activity
Students explore the relationship between distance and elapsed time. After writing a quadratic equation to exemplify the relationship discussed, students use inverse matrices to solve the unknowns. Using a motion detector and CBL...
Curated OER
Systems and Matrices
In this algebra worksheet, learners are asked to find replacement sets for modified problems. There are 39 questions with an answer key.
EngageNY
The Geometric Effect of Multiplying by a Reciprocal
Class members perform complex operations on a plane in the 17th segment in the 32-part series. Learners first verify that multiplication by the reciprocal does the same geometrically as it does algebraically. The class then circles back...
Curated OER
MT-A315 Introduction to Linear Algebra: Worksheet 5.2
In this linear algebra activity, learners find the determinant of a matrix. Additionally, they expand rows and use the product theorem to identify which matrices are invertible. Students complete five multi-step problems.
Curated OER
Matricies: Meadows or Malls?
Students explore the use of matrices and graphing calculators to solve a complex linear programming problem. They test their solutions to determine the best division of land use for the city.
Curated OER
TI-89 Activities for PreCalculus and AP Calculus
Using the TI-89 calculator, young scholars explore the statistical, graphical and symbolic capabilities of the TI-89. Students investigate topics such as solving systems of equations, finding inverse functions, summations, parametrics...
Curated OER
Linear Systems: Geometric Interpretation of Eigenvalues
In this geometric interpretation activity, students prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page activity contains explanations, examples, theorems and two problems for students to solve.
Curated OER
Linear Systems: Permutations and Transposes
In this permutations worksheet, students identify a transpose matrix, and create a permutation matrix. This three-page worksheet contains six problems.
Curated OER
Code Crackers
Students explore cryptology by studyingng about two simple coding methods, the Caesar cipher and the Vigenere cipher. Students then use matrices and their inverses to create more sophisticated codes.
Curated OER
Academic Algebra 2 Test
In this algebra worksheet, 11th graders rewrite word problems using algebraic expressions. They solve problems using systems of equations. There are 14 problems on this worksheet.
Curated OER
An Introduction to the Natural Logarithm (ln)
Students explore the dose response principle, an introduction to what the "natural log" (ln) is and how it behaves. They create and analyze a dose response graph.
Curated OER
Finding the Measure of Segments
Students observe and solve examples of betweenness, ruler postulate, and segment addition postulate. They complete the Finding the Measure of Segments worksheet using the distance formula.