eBook
Rice University

#### College Physics for AP® Courses

For Students 9th - Higher Ed Standards
Take a look at an organized physics course. The 34-section electronic textbook covers material in AP® Physics 1 and 2. Teachers use the text to supplement lectures and have the class work through the labs. Each section contains multiple...
Interactive
PHET

For Students 9th - 12th Standards
Model vector addition graphically. A simple interactive has users add vectors and adjust the lengths and angles of the vectors. The interactive automatically updates the magnitude, angle, and components of the sum.
Interactive
Physics Classroom

For Students 9th - 12th Standards
Learn to analyze vector addition on graph paper through multiple levels of practice problems. Pupils begin with two component addition and move through three and four components to prove mastery as one part of a series on vectors and...
Interactive
Physics Classroom

For Students 9th - 12th Standards
Three levels of practice assure scholar mastery of vector addition. After inputting an incorrect answer, another problem replaces it so everyone finds success. The lesson works as one part of a series on vectors and projectiles.
Interactive
CK-12 Foundation

#### Two-Dimensional Vectors: River Ferry and Current Vectors

For Students 11th - Higher Ed Standards
Fight against the current. Pupils explore the resulting path when they are crossing a river while being pushed downstream by the current. Using vector notation, learners express the speed and direction of a ferry. They finish by...
Interactive
CK-12 Foundation

#### Vector Sum and Difference: The Country of Dreams

For Students 11th - Higher Ed Standards
Find your way around using vectors. Scholars use an interactive to learn about vector addition. They answer a set of questions about modeling a route on a map using vectors.
Interactive
CK-12 Foundation

#### Vector Subtraction

For Students 11th - Higher Ed Standards
Move vectors to determine their difference. Pupils use an interactive to visualize the opposite of a vector. They use the concept of adding vectors to subtract vectors by adding the opposite and, finally, view the differences of the...
Interactive
CK-12 Foundation

For Students 11th - Higher Ed Standards
View vector addition with a greater magnitude. The interactive provides learners with the opportunity to determine the magnitude of vectors and their resultant vectors when added. Pupils investigate the relationship between the...
Interactive
CK-12 Foundation

#### Position and Displacement Simulation

For Students 9th - 12th Standards
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...
Interactive
CK-12 Foundation

#### Portrait Gallery

For Students 9th - 12th
An interactive lesson explores the effect of force angles on resulting forces. Learners adjust angles of strings supporting hanging portraits and watch the effects on the resultant force. Vector diagrams provide a visual representation...
Interactive
CK-12 Foundation

#### Driverless Car

For Students 9th - 12th
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...
Interactive
CK-12 Foundation

#### Operations with Vectors: GPS Device

For Students 10th - 12th Standards
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...
Assessment
Mathed Up!

#### Vectors

For Students 9th - 12th Standards
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.
Activity
International Technology Education Association

#### Dampen That Drift!

For Students 10th - 12th Standards
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.
Assessment
EngageNY

#### End-of-Module Assessment Task: Pre-Calculus Module 2

For Students 11th - 12th Standards
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...
Lesson Plan
EngageNY

#### Why Are Vectors Useful? 2

For Teachers 11th - 12th Standards
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,...
Lesson Plan
EngageNY

#### Vectors and Stone Bridges

For Teachers 11th - 12th Standards
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...
Lesson Plan
EngageNY

#### Directed Line Segments and Vectors

For Teachers 11th - 12th Standards
Investigate the components of vectors and vector addition through geometric representations. Pupils learn the parallelogram rule for adding vectors and demonstrate their understanding graphically. They utilize the correct notation and...
Lesson Plan
EngageNY

#### Vectors in the Coordinate Plane

For Teachers 11th - 12th Standards
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...
Assessment
EngageNY

#### Mid-Module Assessment Task: Pre-Calculus Module 2

For Students 11th - 12th Standards
Assess your classes' knowledge using questions that require high-level thinking and explanation. Learners use matrices to answer application questions. They also demonstrate their understanding of matrix operations.
Lesson Plan
EngageNY

#### Linear Transformations as Matrices

For Teachers 11th - 12th Standards
Don't stop with two-dimensional learning, go to the next dimension! Learners verify that 3x3 matrices represent linear transformations in the third dimension. Additionally, they verify the algebraic properties that extend to vector...
Lesson Plan
EngageNY

#### Coordinates of Points in Space

For Teachers 11th - 12th Standards
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...
Lesson Plan
EngageNY

#### Complex Numbers as Vectors

For Teachers 11th - 12th Standards
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...
PPT
Urbana School District

#### Vectors

For Teachers 11th - Higher Ed Standards
I don't always make vector jokes, but when I do, IJK. Vector addition using multiple methods, scalar multiplication, vector subtraction, vector components, relative velocities, free body diagrams, and so much more Are covered in this...