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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. 
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Lesson Plan
EngageNY

Expected Value of a Discrete Random Variable

For Teachers 11th - 12th Standards
Discover how to calculate the expected value of a random variable. In the seventh installment of a 21-part module, young mathematicians develop the formula for expected value. They connect this concept the dot product of vectors.
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Lesson Plan
TryEngineering

Graphics: Bits and Points

For Students 3rd - 6th Standards
What can a mural teach pupils about computer science? The instructional activity has scholars create a mural on a wall to learn about bitmap and vector graphics. Along the way, they learn about the graphics coordinate system.
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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...
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Lesson Plan
EngageNY

Designing Your Own Game

For Teachers 11th - 12th Standards
Your classes become video game designers for a day! They utilize their matrices, vectors, and transformation skills to create and design their own game images. The complex task requires learners to apply multiple concepts to create their...
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Lesson Plan
EngageNY

Projecting a 3-D Object onto a 2-D Plane

For Teachers 11th - 12th Standards
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...
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Lesson Plan
EngageNY

First-Person Computer Games

For Teachers 11th - 12th Standards
How do graphic designers project three-dimensional images onto two-dimensional spaces? Scholars connect their learning of matrix transformations to graphic design. They understand how to apply matrix transformations to make...
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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,...
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Lesson Plan
EngageNY

Why Are Vectors Useful? 1

For Teachers 11th - 12th Standards
How do vectors help make problem solving more efficient? Math scholars use vectors to represent different phenomenon and calculate resultant vectors to answer questions. Problems vary from modeling airplane motion to the path of a robot. 
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Lesson Plan
EngageNY

Linear Transformations of Lines

For Teachers 11th - 12th Standards
Discover the extension of parametric equations to model linear transformations. Scholars first write parametric equations to model lines through two points. They then find the parametric equations that represent a linear transformation.
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Lesson Plan
EngageNY

Vectors and the Equation of a Line

For Students 11th - 12th Standards
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
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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...
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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...
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Lesson Plan
EngageNY

Vectors and Translation Maps

For Teachers 11th - 12th Standards
Discover the connection between vectors and translations. Through the activity, learners see the strong relationship between vectors, matrices, and translations. Their inquiries begin in the two-dimensional plane and then progress to the...
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Lesson Plan
EngageNY

Vectors in the Coordinate Plane

For Teachers 11th - 12th Standards
Examine the meaning and purpose of vectors. Use the activity 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...
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Lesson Plan
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EngageNY

Solving Equations Involving Linear Transformations of the Coordinate Plane

For Teachers 11th - 12th Standards
How can matrices help us solve linear systems? Learners explore this question as they apply their understanding of transformation matrices to linear systems. They discover the inverse matrix and use it to solve the matrix equation...
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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.
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Lesson Plan
EngageNY

Matrix Multiplication Is Not Commutative

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

Matrix Addition Is Commutative

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

Electric Fields

For Students 11th - Higher Ed
What kind of pears do electricians eat? Amperes! Presentation begins with electric field vectors for various charge configurations and field strengths for both point charges and uniform fields. It continues with various surfaces,...
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PPT
Urbana School District

Momentum

For Teachers 11th - Higher Ed Standards
Here's a presentation that not only covers momentum, impulse, conservation of momentum in both one and two dimensions, angular momentum, torque, and the moment of inertia, but offers many applied guided practice problems as well.