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Lesson Plan
Curated OER

Study Buddies - Proportions

For Teachers 6th - 7th
Middle-schoolers solve various problems related to proportions. They write ratios in word form and then, replace the words with numbers. Pupils also write an equation in which they will cross-multiply to solve the proportion. This is an...
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Lesson Plan
Curated OER

Gyroscopes in Motion

For Teachers 10th - 12th
Physics stars will enjoy learning about the conservation of energy as you demonstrate gyroscope precession. The lecture is broken into five subtopics: cross product, rotating vectors, angular momentum, rotating rigid bodies, and torque...
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Worksheet
Curated OER

Using Proportions

For Students 10th
In this using proportions worksheet, 10th graders solve 9 various types of problems that include two word problems suing proportions. First, they use the table to find the ratios of each and express each ratio as a decimal rounded to...
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Worksheet
Curated OER

Algebra Using Proportions

For Students 10th
In this algebra using proportions worksheet, 10th graders solve 14 various types of problems by applying algebra methods to geometry. First, they solve each of 8 proportions using cross products. Then, students use the triangle shown and...
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Worksheet
Curated OER

Math 224 Spring 2004: Dot Product

For Students Higher Ed
In this dot product worksheet, students consider two vectors and compute the dot product and cross product of the given vectors. This two-page worksheet contains four problems.
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Worksheet
Curated OER

Math 212: Dot Product and Cross Product

For Students Higher Ed
In this dot product worksheet, students consider vectors, find the value of an angle, and confirm the area of a given parallelogram. This two-page worksheet contains three problems.
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Worksheet
Curated OER

Math 212: Planes

For Students Higher Ed
In this plane worksheet, students find the midpoint of a line, determine points on a plane, and use the cross product to find an equation with given parameters. This two-page worksheet contains three problems.
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Unit Plan
University of Nebraska

University of Nebraska: The Cross Product

For Students 9th - 10th Standards
This resource provides a definition and demonstration of the cross product.
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Handout
Wolfram Research

Wolfram Math World: Smooth Surface

For Students 9th - 10th
This site gives the terms which must be met in order for a surface to be a smooth surface. There are related links on this page.
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Handout
Wolfram Research

Wolfram Math World: Vector

For Students 9th - 10th Standards
This site from Mathworld.com provides a detailed overview of vectors in algebra, and includes numerous formulas and examples.
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Unknown Type
McGraw Hill

Glencoe: Online Study Tools: Self Check Quiz on Perpendicular Vector

For Students 9th - 10th Standards
Learners display understanding of advanced mathematical concepts in Geometry. The online quiz assesses the scholars on perpendicular vectors.
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Handout
Wolfram Research

Wolfram Math World: Vector Multiplication

For Students 9th - 10th Standards
Provides tables for all the types of vector multiplication and the notation associated with them. The result is also given in the table (ie. scalar or vector) this site contains many related links.
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Unit Plan
CK-12 Foundation

Ck 12: Arithmetic:

For Students 6th
[Free Registration/Login may be required to access all resource tools.] Solve for the unknown in a proportion using mental math.
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Activity
Paul Dawkins

Paul's Online Notes: Calculus Ii: Vectors

For Students 9th - 10th Standards
The resource examines vectors and their properties. Topics investigated are vector, vector arithmetic, dot product, and cross product. Class notes, definitions, and examples with detailed solutions are included. The notes are available...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Cross Products

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lessons students will be defining and calculating cross products and normal vectors. Students examine guided notes, review guided practice, watch...
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Unit Plan
CK-12 Foundation

Ck 12: Arithmetic: Proportions to Find Base B

For Students 6th - 8th
[Free Registration/Login may be required to access all resource tools.] In this lesson students use the cross products of proportions to find base b in percent problems. Students examine guided notes, review guided practice, watch...
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Handout
Other

University of Edinburgh: Glossary of Introductory Computer Graphics Terms

For Students 9th - 10th
This website, from the University of Edinburgh, provides a lengthy glossary of computer graphics terms written by Olin Lathrop, author of "The Way Computer Graphics Work". This site provides simple definitions of basic terms; no graphics...
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Lesson Plan
PBS

Pbs Learning Media: Ratio/proportion: Targeted Math Instruction

For Teachers 9th - 10th Standards
At the end of this instructional activity about ratio/proportion, students will be able to recognize and apply ratios and proportions to solve real-life problems and solve for any unknown component.
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Handout
Math Notes and Math Tests

Pre Calculus Notes: The Determinant of a Square Matrix [Pdf]

For Students 9th - 10th Standards
The resource investigates the determinant of a square matrix. Topics examined are computing determinants, Sarrus?s rule, and the cross product of two vectors. Class notes and examples are included.
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Handout
Wolfram Research

Wolfram Math World: Right Hand Rule

For Students 9th - 10th
This page from MathWorld.com provides a good description of how to use the right-hand rule, which determines the orientation of a cross product. Also includes a helpful picture.
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Handout
Wolfram Research

Wolfram Math World: Cross Product

For Students 9th - 10th
This site from Mathworld.com contains an explanation of a croos product and example with links to clarify unfamiliar proceedures in finding a cross product. If you are not famialiar with the right-hand rule, be sure to go click on the...
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Handout
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Cross Products

For Students 9th - 10th
Find a quick, concise explanation of Cross Products. An example is given and clearly explained.
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Handout
Wolfram Research

Wolfram Math World: Inner Product

For Students 9th - 10th
This site contains links to four kinds of inner products: Dot Product, Hermitian Inner Product, Interior Product, L2-Inner Product.
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Handout
National Council of Teachers of Mathematics

The Math Forum: The Cross Product

For Students 9th - 10th
This site gives a brief explanation of cross products.