Worksheet
Curated OER

Linear Systems: Review of Vectors

For Students 12th - Higher Ed
In this review of vectors worksheet, students explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page worksheet contains approximately ten problems.
Worksheet
Curated OER

Linear Systems: Fundamental Theorem

For Students 12th - Higher Ed
In this fundamental theorem worksheet, student explore the nullspace and column space of given matrices. They explore the vectors needed to make it linearly independent and construct free variable columns. This two-page worksheet...
Worksheet
Curated OER

Linear Systems: Projections

For Students 11th - Higher Ed
In this projection activity, students determine the projections if a given matrix. They take a vector and project it onto a line and subspace. This four-page activity contains examples and approximately seven problems.
Worksheet
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Linear Systems: Applications of Eigenvalues and Eigenvectors

For Students Higher Ed
In this Eigenvalue activity, students examine the applications of matrix exponentiation. This four-page activity contains examples, explanations and approximately three problems to complete.
Worksheet
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Linear Systems: Introduction to Vector Space

For Students 12th - Higher Ed
In this vector space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples, theorems, explanations, and approximately three problems.
Worksheet
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Linear Systems: Vector Spaces

For Students Higher Ed
For this vector space worksheet, students explore linearly independent vectors. They identify the row space, null space and subspaces of a given matrix. This four-page worksheet contains approximately eight problems.
Worksheet
Curated OER

Linear Systems: Orthogonality of Subspaces

For Students Higher Ed
In this subspace worksheet, students decompose a vector into two orthogonal pieces, one for the nullspace and another for the row space of a matrix. This two-page worksheet contains explanations, examples, and three problems.
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: Applications of Eigenvalues and Eigenvectors

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

For Students 9th - 10th
In this calculus worksheet, students practice solving equations of area and integrals. There are 14 multi-step problems.
Lesson Plan
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Collecting Ball Bounce Data

For Teachers 6th - 12th Standards
Learners investigate quadratic equations as they use a CBR to collect and analyze data regarding a bouncing ball. Pupils explore different methods for determining the equation of the parabolic path including quadratic regression and...
Lesson Plan
EngageNY

Why Are Vectors Useful? 2

For Teachers 11th - 12th Standards
Investigate the application of vector transformations applied to linear systems. Individuals use vectors to transform a linear system translating the solution to the origin. They apply their understanding of vectors, matrices,...
Lesson Plan
Curated OER

Graphing Systems of Inequalities

For Teachers 9th - 12th
Solve equations and graph systems of inequalities. Designed as a lesson to reinforce these concepts, learners revisit shading and boundaries along with solving linear inequalities.
Handout
Happy Maau Studios

Math Ref

For Students 7th - 12th
Forgot how to multiply matrices? Well, this app can help. It is like a gigantic, well-organized reference card for all things math. Customize your personal reference material by adding your own notes and build up a personalized list of...
Worksheet
Curated OER

Setting up Systems

For Students 12th - Higher Ed
In this systems of equations instructional activity, students solve 2 different problems that include setting up various systems. They compute a given system using matrix operations. Then, students verify that the solution is correct by...
Worksheet
Curated OER

Introduction to Linear Algebra 2.1

For Students 11th - Higher Ed
In this linear equation worksheet, students identify the vector space of a given matrices and find the appropriate system of equations for each of four solutions. Then they solve the system and write their conclusion.
Worksheet
Curated OER

Metabolism Test Review

For Students 9th - 10th
In this metabolism test review, students define several terms. Students write balanced chemical equations for aerobic cellular respiration. Students complete several multiple choice questions.
Lesson Plan
Curated OER

The Kangaroo Conundrum: A Study of a Quadratic Function

For Teachers 8th - 11th
Students play a game and collect data for their graph. In this algebra lesson, students solve quadratic equations and identify properties of their graph. They describe the pattern created by the graph and the game.
Lesson Plan
Curated OER

A Study of a Quadratic Function

For Teachers 8th - 10th
Students factor and solve quadratic equations. In this algebra lesson plan, students play a game as the collect and graph data. they identify properties of their parabola and make predictions.
Lesson Plan
Curated OER

Lift Equation Problem Set

For Teachers 9th - 12th
Students, after reading an explanation from a NASA Web-based textbook, demonstrate an understanding of the text by using it, along with FoilSim, to complete an activity to graph and interpret the lift equation.
Worksheet
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Numerical Analysis: Discrete Least Squares

For Students Higher Ed
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.
Worksheet
Curated OER

Multivariable Calculus: Vector Functions

For Students 12th
In this vector function worksheet, 12th graders identify a helix and a smooth curve. They find the equation of the tangent line to a helical curve. This two-page worksheet contains examples, explanations and approximately four problems.
Lesson Plan
Curated OER

College Level Study Guide

For Teachers 11th - Higher Ed
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
Lesson Plan
Curated OER

Equations and Systems of Equations

For Teachers 7th - 8th
Learners practice using algebra to be applied to real world situational problems. The key concepts of translation of language to algebraic expressions is covered. They also look in depth at relationships between different quantities.

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