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Khan Academy

Khan Academy: Vectors and Scalars Questions

For Students 9th - 10th
This study resource from Khan Academy provides practice questions for the MCAT. "Vectors and scalar" questions are provided on this resource.
Unit Plan
CK-12 Foundation

Ck 12: Scalar Projections

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise.
eBook
Physics Classroom

The Physics Classroom: 1 D Kinematics: Speed and Velocity

For Students 9th - 10th
Through illustrated examples and interactive practice problems, students examine the difference between speed and velocity.
Interactive
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Vectores en El Plano

For Students 9th - 10th Standards
In Spanish. Interactive activities to introduce the concept of a vector and its different operations.
Handout
Wolfram Research

Wolfram Math World: Scalar Multiplication

For Students 9th - 10th Standards
Describes how a scalar can be multiplied to a vector and shows this using diagrams. Site also contains related links, graphs, and pictures.
Activity
Physics Aviary

Physics Aviary: Vector Math

For Students 9th - 10th Standards
This activity checks that you are able to add and subtract vectors, calculate the dot and cross product of vectors, and multiply or divide vectors by scalars.
Activity
Larson Texts

Larson Precalculus: Magnitude of a Scalar Multiple [Pdf]

For Students 9th - 10th Standards
Example and some exercises on how to find the magnitude of a scalar multiple.
Handout
Other

Can We Multiply 3 Vectors Together?

For Students 9th - 10th Standards
Addresses four possible cases of multiplying three vectors together and explains whether it is possible or not.
Website
Ducksters

Ducksters: Physics for Kids: Motion Glossary and Terms

For Students 1st - 9th
Kids learn about glossary and terms in the science of physics and motion. Definitions for words such as momentum, force, work, energy, gravity, scalar, vector, power, and more.
Handout
Oswego City School District

Oswego City School District: Speed and Velocity

For Students 9th - 10th
This animated tutorial illustrates distance and displacement to define speed and velocity.
Unit Plan
Georgia Department of Education

Ga Virtual Learning: Ap Physics 1: Introduction to Physics

For Students 9th - 10th
Students take a journey through our physical world, beginning with the ways in which people quantify and model mathematically the existence and interaction of physical objects.
Unit Plan
Georgia Department of Education

Ga Virtual Learning: Ap Physics 1: One Dimensional Kinematics

For Students 9th - 10th
Using only two of our fundamental units, time and displacement students will build a framework to predict the motion of objects, starting with one dimensional motion.
Online Course
Cosmo Learning

Cosmo Learning: Physics 240: Science and Engineering I

For Students 9th - 10th
A collection of video lectures from a physics for science and engineering course taught at the University of Missouri-Kansas City. The course discusses the concepts of mechanics, wave motion, sound, heat and thermodynamics in thirty-five...
Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Vectores en El Espacio

For Students 9th - 10th Standards
In this unit you will be manipulate vectors in graphical form and reinforce your understanding of vectors with these interactive activities.
Unit Plan
Sophia Learning

Sophia: Distance & Displacement

For Students 9th - 10th
A video tutorial and slide show lesson explains the similarities and differences between distance and displacement. [3:11]
Unit Plan
Physics Classroom

The Physics Classroom: Describing Motion With Words

For Students 9th - 10th
This lesson from the Glenbrook South High School gives a nice review and detailed explanation of velocity, speed, distance, displacement, and acceleration. A good introduction to the "language of Kinematics."
Unit Plan
Sophia Learning

Sophia: Speed & Velocity

For Students 9th - 10th
A slide show with three accompanying video lesson segments illustrating the difference between speed and velocity, and demonstrating how to calculate average speed and velocity. [6:31]
Unit Plan
Wolfram Research

Wolfram Math World: Plane

For Students 9th - 10th
This site defines a plane in terms of geometric surfaces. Content includes formulas for a plane using the normal vector, how to find the x, y, and z intercepts of a plane, distance from the origin, point plane distance formula, dihedral...
Handout
Wolfram Research

Wolfram Math World: Order of Magnitude

For Students 9th - 10th Standards
Definition and notation of the magnitude of a vector. Includes links to related sites.
Unit Plan
Sophia Learning

Sophia: Practice Calculating Distance & Displacement: Lesson 1

For Students 9th - 10th
This lesson should provided the learner with example problems on finding the distance and displacement of an object. It is 1 of 2 in the series titled "Practice Calculating Distance & Displacement."
Activity
Other

Dot Product

For Students 9th - 10th Standards
Come to this site to discover the formula for finding the value of a dot product. The site offers two ways to calculate the dot product, one using only the elements of the vectors, the other using the length of each vector and the angle...
Handout
American Association of Physics Teachers

Com Padre Digital Library: Open Source Physics: Electric Multipole Field Model

For Teachers 9th - 10th
Simulation demonstrating how a point charge, a dipole, or a quadrupole shows field vectors or voltage. Change the charge and see the electric field direction and magnitude, and then record the detector values using a built-in data...
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Texas Education Agency

Texas Gateway: Ap Physics: Kinematics Conceptual Questions

For Students 10th - 12th
This page provides practice questions on each of the conceptual content sections in AP Physics: Chapter 2: Kinematics.
Unit Plan
Texas Education Agency

Texas Gateway: 4.8 Extended Topic: The Four Basic Forces: An Introduction

For Students 11th - 12th
By the end of this section, you will be able to understand the four basic forces that underlie the processes in nature: gravitational, electromagnetic, weak nuclear, strong nuclear forces.

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