Curated OER
Linear Systems: Vector Spaces and Subspaces
For this vector spaces and subspaces worksheet, students review column spaces of matrices. They determine if the set of all 2 by 2 matrices is a vector space. Students determine if the set of all invertible 2 by 2 matrices is a vector...
Curated OER
Vectors
In this vectors worksheet, students solve and complete 6 various types of problems. First, they find an equation of a sphere with a given center point and endpoint of a radius at the point. Then, students find the scalar and vector...
Curated OER
Multivariable Calculus: Conservative Vector Fields
In this vector field worksheet, students explore the properties of conservative vector fields. They solve problems for a given field. This two-page worksheet contains explanations, examples and five equations.
Curated OER
Linear Systems: Vector Spaces of a Matrix
For this vector space matrix worksheet, students decompose given vectors into two orthogonal pieces--one from the nullspace and another from the row space. this two-page worksheet contains examples and approximately five 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...
Curated OER
Multivariable Calculus: Vector Functions
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.
Curated OER
Linear Systems: Introduction to Vector Space
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.
Curated OER
5 Vector Geometry
Students imagine the way lines look. In this vector lesson, students recognize how to find a vector equation, Cartesian equation or perpendicular distance. Students find angles between planes. Students complete an activity with...
Curated OER
Particle Models
In this particle model worksheet, students solve and complete 14 various types of problems. First, they find the magnitude of the side or the angle indicated with a question mark for each triangle illustrated. Then, students find the x...
Curated OER
Linear Systems: Linear Equations, Vectors and Matrices
In this matrices worksheet, students write matrix notation to represent linear systems. This four-page worksheet contains approximately 15 problems.
Curated OER
Forces in a Climb - Vectors
Young scholars read Forces in a Climb from the Beginner's Guide to Propulsion, and explain each of the formulas using vectors.
Curated OER
One Matrix and Two Vector Problems
In this matrix and vector worksheet, students find elementary matrices in one problems and show whether vectors and linearly independent or dependent in two problems.
Curated OER
Worksheet 28: Parametric Equations
In this parametric equations worksheet, students read informational paragraphs and answer 10 questions regarding parameter, velocity, speed, curvature, parametric equations, and scalar curvature.
Alabama Learning Exchange
Jump! An Exploration into Parametric Equations
Explore parametric equations in this lesson, and learn how to determine how much time it takes for an object to fall compared with an object being launched. high scoolers will use parametric equations to follow the path of objects in...
EngageNY
Coordinates of Points in Space
Combine vectors and matrices to describe transformations in space. Class members create visual representations of the addition of ordered pairs to discover the resulting parallelogram. They also examine the graphical representation of...
EngageNY
Projecting a 3-D Object onto a 2-D Plane
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...
EngageNY
Matrix Addition Is Commutative
Explore properties of addition as they relate to matrices. Using graphical representations of vector matrices, scholars test the commutative and associative properties of addition. They determine if the properties are consistent for...
CK-12 Foundation
Directed Line Segments: Dog Park
Its a dog's world! Using a vector in standard position, pupils model the path a dog takes to different items in a dog park. The individuals use the interactive to find the magnitude and direction of the directed line segment.
Rice University
Calculus Volume 3
See calculus to the end. The eBook is the last of a three-volume series covering college-level calculus topics. Scholars begin with parametric equations and polar coordinates before moving to vectors, finally ending with multi-variable...
Curated OER
NUMB3RS Activity: Fresh Air and Parabolas
Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.
Curated OER
Calculating Intervals Using Stokes' Theorem
In this calculating intervals worksheet, students calculate intervals using Stokes' Theorem. They justify their answers with words and pictures. This two-page worksheet contains 3 multi-step problems.
Curated OER
Transformations and Matrices
There are four activities in this extensive lesson covering the identity matrix and scaling, the linear representation of translations, the linear representation of rotations, and reflections. In small groups, they use the Cabri II...
Curated OER
Math 212: Planes
In this planes worksheet, students consider the position of given vectors and find the vector equation of a plane. They identify the points that lie on a plane and determine the equation of a line through given points. This two-page...
Curated OER
Introduction to Linear Algebra 1.3
In this linear algebra worksheet, students write down the system that arises from the vector equation stated. Then they apply the Gaussian elimination method to solve their system. Finally, students explain their conclusion and answer...
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