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,...
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...
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.
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...
Curated OER
Linear Systems: Graphical Interpretation of Vectors and Linear Systems
In this interpretation of vectors and linear systems worksheet, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of vector...
Curated OER
Vectors
Students describe motion by the use of adding vectors to obtain the resultant vector. They comprehend the meaning of a resultant vector. Students identify the difference between the x and y components of vector quantities. Students...
Curated OER
Vectors
Students describe a complex path by the use of adding vectors. They comprehend the difference betwee scalar and vector quanitities. Students disucss the naviagation lab. They are explained the procedures for the lab. Students are...
Curated OER
Vectors
Students describe a complex path by the use of adding vectors. They are explained the procedures and rules of the balloon car race. Students are remined that the summary and answers to the questions are due Monday. They are given the...
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...
PHET
Pre- and post-assessment (High School)
Need to gauge your pupils' understanding before the lesson plan begins? A base assessment includes short answer and drawings to determine pupil knowledge. Advanced assessment covers vector addition.
Curated OER
Multivariable Calculus: Introduction to Vectors
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.
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...
CK-12 Foundation
Position and Displacement Simulation
How can we use vectors to determine a person's position when traveling? The simulation offers guided practice at determining the coordinates and the distance between coordinates on a map grid. It reinforces the importance of positive...
Curated OER
Vectors in Relative Velocities Problem Set
Students, after reading an explanation from a NASA Web-based textbook, demonstrate an understanding of vector addition and the text by applying them to the determination of vector components and relative velocities.
Curated OER
Vector Manipulation Unit
Students are introduced to the concept/idea of a vector, what it represents and why they are used. They develop an understanding of what vectors are, how and why they are used.
Physics Classroom
As the Crow Flies Lab
A simple, yet memorable, way of practicing with displacement vectors is described here. Divide your class into groups and assign each a different landmark on campus. They measure smaller legs of the path from the classroom to their...
Curated OER
Physics: Vector Addition
Students drill and practice putting problems into vector form. They draw each problem before trying to solve them. Students draw arrows for any vector quantities to indicate magnitude and direction.
Curated OER
Introduction to Vector Spaces
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.
Curated OER
Linear Systems: Graphical Interpretation of Vectors
In this graphical interpretation of vectors worksheet, students explore the geometrical appearance of given problems, determine if vector subtraction is commutative and graph a system of equations. This three-page worksheet contains...
NASA
Space Vectors
How do you determine the position coordinates of objects in space? Using the provided worksheet, class members determine the location of the space shuttle based upon its spherical coordinates from the Dryden Flight Research Center.
Curated OER
Linear Systems: Vector Spaces and Subspaces
In this vector space learning exercise, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page learning exercise contains approximately six multi-step...
CK-12 Foundation
Driverless Car
Who's driving that car? Science is! Through a simulation, learners adjust the magnitude and angle of motion on a driverless car. Two different motions create a resultant motion. Vectors represent the motion and graphs depict the...
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
End-of-Module Assessment Task: Pre-Calculus Module 2
Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...
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