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Worksheet
Curated OER

Practice Test: Vectors

For Students 10th - 12th
In this vector worksheet, students find symmetric equations and the equation of a plane for given situations. They identify unit vectors and determine the distance between midpoints. This two-page worksheet contains 6 multi-step problems.
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Lesson Plan
Curated OER

Matrix Madness!!

For Teachers 9th - 11th
Perform operations to add, subtract, multiply and divide matrices. Then solve problems with vectors using matrices. A three day lesson: Matrix Madness, Mystical Matrices, and Decode the Encode. The last lesson has prizes that the class...
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Lesson Plan
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Curated OER

NUMB3RS Activity: Where’s the Source? Episode: “Undercurrents”

For Teachers 9th - 12th Standards
Several real-world problems are posed as a way to learn about vector fields in order to make some predictions after analyzing the data. The main problem comes from the tv show NUMB3RS and is based on solving a crime where a body has...
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Worksheet
Curated OER

Vectors

For Students 11th - 12th
In this Pre-Calculus worksheet, students determine if a set of vectors is linearly dependent or linearly dependent and if it is linearly dependent, express one of the vectors as a linear combination of the others.  The one page worksheet...
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Lesson Plan
EngageNY

Translations

For Students 9th - 10th Standards
Learn through constructions! Learners examine a translation using constructions and define the translation using a vector. Pupils then construct parallel lines to determine the location of a translated image and use the vector as a guide.
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Lesson Plan
EngageNY

Matrix Multiplication Is Not Commutative

For Teachers 11th - 12th Standards
Should matrices be allowed to commute when they are being multiplied? Learners analyze this question to determine if the commutative property applies to matrices. They connect their exploration to transformations, vectors, and complex...
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Lesson Plan
EngageNY

Definition of Translation and Three Basic Properties

For Students 8th Standards
Uncover the properties of translations through this exploratory lesson. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...
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Worksheet
Curated OER

Linear Systems: Review of Vectors

For Students 12th - Higher Ed
For 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.
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Worksheet
Curated OER

Introduction to Vector Spaces

For Students 10th - 12th
In this vector spaces learning exercise, students identify the vector in a given set.  They explore addition and scalar multiplication in their vectors.  This two-page learning exercise contains 13 problems.
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Worksheet
Curated OER

Linear Systems: Graphical Interpretation of Vectors

For Students 11th - Higher Ed
In this graphical interpretation of vectors worksheet, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
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Worksheet
Curated OER

Math 212: Vectors

For Students Higher Ed
In this vector worksheet, students find the coordinates of a midpoint, compute the position of vectors, and write a vector equation. This two-page worksheet contains four problems.
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Worksheet
Curated OER

Linear Systems: Orthogonality of Vector Spaces of a Matrix

For Students 12th - Higher Ed
In this vector spaces of a matrix worksheet, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page worksheet contains examples and two problems.
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Worksheet
Curated OER

Vectors

For Students 11th - 12th
In this Pre-calculus worksheet, students solve problems designed to help students develop a geometric visualization of vectors. The three page worksheet contains six multi-part questions. Answers are not included.
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Worksheet
Curated OER

Matrices and Vectors

For Students 12th - Higher Ed
In this matrices and vectors worksheet, students solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...
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Lesson Plan
Curated OER

Parametric, Vector, Polar, and 3D Functions

For Teachers 12th
Twelfth graders investigate the capabilities of the TI-89.  For this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories.  Students investigate the symbolic and...
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Lesson Plan
Curated OER

Worksheet 4 - Geometric Mean

For Teachers Higher Ed
In this geometric worksheet, students examine the geometric and algebraic definition of the dot product. They find angles between two curves, determine if two vectors are parallel, and explain conditions on vectors. This one-page...
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Lesson Plan
Curated OER

Worksheet 24 Spring 1996

For Teachers 11th - Higher Ed
For this math worksheet, students find all the vectors in three dimensional space that have the length of 4. Also, the first and third components are the same. Finally, the second component is the sum of the first and third components.
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Lesson Plan
Curated OER

Worksheet 22 - Functions

For Teachers Higher Ed
In this function worksheet, students use functions to identify an electron traveling along a path. They examine the velocity vector and compute the directional derivative. This two-page worksheet contains six multi-step problems.
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Lesson Plan
EngageNY

Vectors and the Equation of a Line

For Students 11th - 12th Standards
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
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Worksheet
Curated OER

Multivariable Calculus: Introduction to Vectors

For Students 11th - Higher Ed
In this vector worksheet, students find the length of vectors and the distance between two points. This two-page worksheet contains examples, definitions, and explanations, as well as two problems.
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Worksheet
Curated OER

Math 224 Spring 2004: Vectors

For Students Higher Ed
In this vector learning exercise, students find the coordinates of a midpoint and compute the vector equation of a line. This two-page learning exercise contains four problems.
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Worksheet
Curated OER

First-Order Differential Equations and Vector-Matrix Systems

For Students 11th - Higher Ed
In this differential equation worksheet, students answer seventeen problems related to first-order differential equations, vectors, systems of equations, and vector-matrix form of systems of equations.
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Worksheet
Curated OER

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.
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Worksheet
Curated OER

Operations on Vectors and Matrices

For Students 11th - Higher Ed
In this math worksheet, students practice using the operations on vectors and matrices. They find the parallel vector to the given one.

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