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Unit Plan
CK-12 Foundation

Ck 12: Resultant as Magnitude and Direction

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] A collection of resources on how to express vectors in magnitude and direction form and determine the magnitude and direction of their sum.
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Handout
Physics Classroom

The Physics Classroom: Vectors and Projectiles: Vector Addition: 6 + 8 = ?

For Students 9th - 10th Standards
Become a student of physics and approach the task of adding vector quantities, which also include direction. See this head-to-tail animation which helps with the visualization of this concept.
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Unknown Type
Khan Academy

Khan Academy: Add Vectors: Magnitude and Direction to Component

For Students 9th - 10th Standards
Add two vectors in magnitude and direction form to get a new vector in component form. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
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Lesson Plan
Alabama Learning Exchange

Alex: Vectors Drive the Boat

For Teachers 9th - 10th Standards
Using a combination of online exploration and teacher instruction young scholars will discover that vectors have both magnitude and direction. They will be able to use vectors to represent problem situations. Students will also be will...
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Handout
Wolfram Research

Wolfram Math World: Resultant

For Students 9th - 10th Standards
Defines resultant as the result of combing two or more vectors. Includes formulas and links to related terms.
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Handout
Wolfram Research

Wolfram Math World: Zero Vector

For Students 9th - 10th Standards
Definition of a zero vector. Includes a graphic and links to related items.
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Handout
Wolfram Research

Wolfram Math World: Vector Difference

For Students 9th - 10th Standards
This site defines vector difference. Includes a formula and links to related topics.
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Handout
Wolfram Research

Wolfram Math World: Radius Vector

For Students 9th - 10th Standards
Mathworld.com provides a very brief definition of the radius, or position vector. Also gives some properties of the derivative of this vector.
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Handout
National Council of Teachers of Mathematics

The Math Forum: Vector Addition: Algebra

For Students 9th - 10th Standards
Illustration and description of how to add vectors using algebra.
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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.
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Handout
National Council of Teachers of Mathematics

The Math Forum: Vector Length

For Students 9th - 10th Standards
Describes how to use the Pythagorean Theorem to find the length, or magnitude, of a vector.
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Handout
National Council of Teachers of Mathematics

The Math Forum: Unit Vectors

For Students 9th - 10th Standards
Definition of a unit vector with an illustration.
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Handout
National Council of Teachers of Mathematics

The Math Forum: Unit Vectors From Others

For Students 9th - 10th Standards
Description of how to derive the unit vector from a particular vector.
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Graphic
Other

Personal Site: Adding Vectors

For Students 9th - 10th Standards
This personal site provides a diagram and description of the addition of vectors. The triangle law of addition and the parallelogram law are given.
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Math Graphs

Houghton Mifflin: Math Graphs: Sketching Vectors 8 [Pdf]

For Students 9th - 10th Standards
Students use a figure to sketch a new vector that combines the tail of one vector with the head of the other vector. The practice problem is available in PDF format.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Sketching Vectors 9 [Pdf]

For Students 9th - 10th Standards
The practice exercise asks students to sketch a new vector that combines two given vectors. The problem is available in PDF format.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Sketching Vectors 10 [Pdf]

For Students 9th - 10th Standards
The practice exercise asks students to sketch a new vector that combines two given vectors. The problem is available in PDF format.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Sketching Vectors 12 [Pdf]

For Students 9th - 10th Standards
Learners sketch a graph of the specified vector by combining two given vectors. The practice problem is available in PDF format.
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Website
Ducksters

Ducksters: Physics for Kids: Scalars and Vectors

For Students 1st - 9th Standards
Kids learn about scalars and vectors in the science of physics. Scalars are magnitude only while vectors have magnitude and direction. Examples and differences and how to draw a vector.
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Website
Ducksters

Ducksters: Physics for Kids: Basic Vector Math

For Students 1st - 9th Standards
Kids learn about basic vector math in the science of physics. How to add vectors using the head-to-tail method and the Pythagorean theorem. Example problems and the commutative and associative laws.
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Interactive
Educaplus (Jesús Peñas Cano)

Educaplus: Suma De Vectores: Regla Del Paralelogramo

For Students 9th - 10th Standards
Visualize the sum of two vectors with this interactive activity.
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Interactive
Educaplus (Jesús Peñas Cano)

Educaplus: Resta De Vectores

For Students 9th - 10th Standards
Visualize the difference of two vectors with this interactive activity.
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Graphic
National Council of Teachers of Mathematics

The Math Forum: Vectors

For Students 9th - 10th Standards
This site from the Math Forum of Drexel University contains downloadable sketches and pictures related to vectors. You may need to down-load the Geometer's Sketchpad to view these pages.
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Handout
National Council of Teachers of Mathematics

The Math Forum: Vector Subtraction

For Students 9th - 10th Standards
Illustration and description of vector subtraction. Similar to vector addition.