EngageNY
Vectors and Translation Maps
Discover the connection between vectors and translations. Through the lesson, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then progress to the...
EngageNY
Complex Numbers as Vectors
Show your math class how to use vectors in adding complex numbers. Vectors represent complex numbers as opposed to points in the coordinate plane. The class uses the geometric representation to add and subtract complex numbers and...
EngageNY
Why Are Vectors Useful? 2
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,...
Mathed Up!
Vectors
Young mathematicians connect vectors to geometric shapes by watching a video that expresses vectors in relation to the sides of geometric figures. They then apply what they learned by completing a worksheet of practice questions.
Curated OER
Gradient Vector Fields
In this gradient vector fields worksheet, students use Maple to examine vector fields. They identify functions which are vector fields. This one-page worksheet contains two multi-step problems.
CK-12 Foundation
Matrix Multiplication: Vectors
Visualize matrix multiplication on the coordinate plane. Pupils use the interactive to create a matrix multiplication problem using vectors. The scholars see the resulting product of the matrices as a vector.
CK-12 Foundation
Operations with Vectors: GPS Device
Determine the distance between two hikers using vectors. Pupils use an interactive to develop the formula to find the distance between two points knowing their relationship to a third point. Learners use the formula to calculate the...
CK-12 Foundation
Unit Vectors and Components: Bow and Arrow
Aim for a better understanding of vector components. Scholars adjust the angle of release on a bow and determine the horizontal and vertical components of the velocity vector. The pupils finish by determining how the angle affects...
Curated OER
Vectors
In this Algebra II worksheet, 11th graders find the sum of a pair of vectors. The two page worksheet contains a combination of nine multiple choice and free response questions. Answers are included.
Alabama Learning Exchange
Swim the Open Sea: Analyzing Duel Vectors
This dual vector lesson has the class watch a video about a person's swim of the English Channel. The class then uses a computer program to analyze dual vectors of wind's effect on a flight path of a plane as compared to the water...
International Technology Education Association
Dampen That Drift!
The spacecraft is drifting too far off course! Two games help explain how a spacecraft can use its thrusters to maintain its position. The games have pupils be the components of vectors in order to create and counteract the disturbances.
Corbett Maths
Transformations: Translations
Slide into vector transformations. Column vectors define the translation of figures by defining the number of units to move horizontally and vertically on the coordinate graph. Pupils develop an understanding of how to read the...
Curated OER
Practice Test: Vector Equations
In this vector equations learning exercise, students sketch curves when given vector equations. They determine when two curves intersect and find the tangential and normal components of an acceleration vector. This one-page learning...
Curated OER
Practice Test: Vectors
In this vector activity, 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 activity contains 6 multi-step problems.
Curated OER
Matrix Madness!!
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...
Curated OER
Vectors
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...
EngageNY
Matrix Multiplication Is Not Commutative
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...
Curated OER
Linear Systems: Review of Vectors
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.
Curated OER
Introduction to Vector Spaces
In this vector spaces activity, students identify the vector in a given set. They explore addition and scalar multiplication in their vectors. This two-page activity contains 13 problems.
Curated OER
Linear Systems: Graphical Interpretation of Vectors
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...
Curated OER
Linear Systems: Orthogonality of Vector Spaces of a Matrix
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.
Curated OER
Vectors
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.
Curated OER
Matrices and Vectors
In this matrices and vectors worksheet, learners 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...
Curated OER
Parametric, Vector, Polar, and 3D Functions
Twelfth graders investigate the capabilities of the TI-89. In 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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