National Research Center for Career and Technical Education
STEM: Lou-Vee Air Car
A comprehensive lesson on acceleration awaits your physicists and engineers! Two YouTube videos pique their interest, then sample F=ma problems are worked and graphed. The highlight of the lesson is the building of a Lou-Vee air car!...
CK-12 Foundation
Vector Multiplied by a Scalar: Boat Race
Find the right number of vectors to get to the finish line. Using a boat race scenario, pupils add multiples of the same vector together. The scholars use scalar multiplication to speed up the boats in an exciting race to the finish.
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...
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...
EngageNY
Vectors and Stone Bridges
What does it take to build a stable arch? Pupils apply vectors and physics as they examine arched bridges and their structural integrity. They use vectors to represent the forces acting on the stone sections and make conclusions based on...
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
Vectors in the Coordinate Plane
Examine the meaning and purpose of vectors. Use the lesson to teach your classes how find the magnitude of a vector and what it represents graphically. Your pupils will also combine vectors to find a resultant vector and interpret its...
Urbana School District
Physics Intro, Kinematics, Graphing
Some consider physics the branch of science concerned with using long and complicated formulas to describe how a ball rolls. This presentation, while long, is not complicated, yet it covers rolling, falling, and more. It compares vectors...
Curated OER
The AP Calculus Problem Book
Are you always looking for extra problem resources to incorporate in your classes? A set of problems for a full AP Calculus course may be all you need! Each unit has a full set of questions and a sample test.
Center for Innovation in Mathematics Teaching
Vectors
Investigate vectors and learn how to use them. Explore why size and direction, as well as knowing speed and distance, are important components of the vector problems you are trying to solve. This is an extensive lesson plan which...
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...
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Vector Addition
Learn how to add vectors. Drag vectors onto a graph, change their length and angle, and sum them together. The magnitude, angle, and components of each vector can be displayed in several formats.
University of Colorado
University of Colorado: Ph Et Interactive Simulations: Vector Addition
Learn how to add vectors. Drag vectors onto a graph, change their length and angle, and sum them together. The magnitude, angle, and components of each vector can be displayed in several formats.
Other
Rochester University: Slide Show on Scalar Multiplication
This site, set up as a slide show, contains pertinent information regarding scalar multiplication. To learn more, just simply click on the next slide bar.
Texas Education Agency
Texas Gateway: Ap Physics: 2.2 Vectors, Scalars, and Coordinate Systems
By the end of this section, you will be able to do the following: Define and distinguish between scalar and vector quantities and Assign a coordinate system for a scenario involving one-dimensional motion.
Texas Education Agency
Texas Gateway: 3.2 Vector Addition and Subtraction: Graphical Methods
By the end of this section, you will be able to understand the rules of vector addition, subtraction, and multiplication and to apply graphical methods of vector addition and subtraction to determine the displacement of moving objects.
Cuemath
Cuemath: Vectors
Explore the world of vectors, by finding answers to questions like what are vectors, what are scalars, what is the difference between scalar and vectors, the magnitude of a vector, operations on vectors, and properties of a vector.
University of Nebraska
University of Nebraska: Vectors and Vector Addition
This resource provides an introduction to vectors and their additive properties.
University of Nebraska
University of Nebraska: Unit Vectors
In this resource unit vectors are defined and examples are given here. Notation is discussed also.
University of Nebraska
University of Nebraska: The Cross Product
This resource provides a definition and demonstration of the cross product.
Wolfram Research
Wolfram Math World: Orthogonal Vectors
This MathWorld page gives a very brief definition of orthogonal vectors (vectors whose dot product is equal to zero.)
Wolfram Research
Wolfram Math World: Scalar Triple Product
This page gives a good discussion of the scalar triple product, which is the dot product of a vector with the cross product of two other vectors.
Wolfram Research
Wolfram Math World: Vector
This site from Mathworld.com provides a detailed overview of vectors in algebra, and includes numerous formulas and examples.
Science Education Resource Center at Carleton College
Serc: Understanding Vectors Vector Addition
By participating in a group activity, students will learn how to add force vectors. They will see the significance of direction when adding vector quantities.