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Unit Plan
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Wolfram Math World: Leibniz Integral Rule

For Students 11th - 12th
This page discusses the Leibniz Integral Rule, which concerns "the differentiation of a definite integral whose limits are functions of the differential variable."
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Handout
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Wolfram Math World: Geometry

For Students 9th - 10th Standards
This site provides an understanding of the many types of geometry.
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Handout
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Wolfram Math World: Rational Function

For Students 9th - 10th Standards
This site provides formulas and definitions as well as related links to rational functions.
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Handout
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Wolfram Math World: Function

For Students 9th - 10th Standards
Site offers a definition of a function. This definition may be difficult to grasp if you are not familiar with the mathematical language, however if you carefully read the definition, examples, and go to related links for unfamiliar...
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Activity
Wolfram Research

Wolfram Mathworld: Astroid

For Students 9th - 10th
Find out how an astroid is related to the ellipse at this math page. This page starts with describing how an astroid may be created easily with two concentric circles with a given ratio, the site then goes into details regarding the...
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Handout
Wolfram Research

Wolfram Mathworld: Hypocycloid

For Students 9th - 10th
This clearly explains how a hypocycloid is obtained with great visual aids. Cartesian parametric formulas are given for a general hypocycloid. The last half of the article details how to determine specifics on properties of various...
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Handout
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Wolfram Math World: Epicycloid

For Students 9th - 10th Standards
Shows how to graph them and also derives the polar equations from the parametric equation. The site then defines a few special Epiycloids. Includes a definition, formulas, graphs, video, and links to related topics.
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Handout
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Wolfram Math World: Cardioid

For Students 9th - 10th
The site opens with a visual representation of how a Cardoid, a one-cusped epicycloid, is made. The site then shows the parametric, Cartesian, and polar equation for the special epicycloid. The last half of the page gives more equations...
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Handout
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Wolfram Math World: Infinite Series

For Students 9th - 10th Standards
The site contains information on infinite series. Includes formulas and links to related topics.
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Handout
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Wolfram Math World: Geometric Series

For Students 9th - 10th Standards
This site provides a general overview of a geometric series.
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Handout
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Wolfram Math World: Power Series

For Students 9th - 10th Standards
This site gives many different summation formulas and their expansions. Very Comprehensive site
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Unit Plan
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Wolfram Math World: Maclaurin Series

For Students 9th - 10th
This page provides the Maclaurin Series for math, which is derived from the Taylor Series. Also provides an extremely helpful list of Maclaurin Series for many common functions along with a useful search engine.
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Handout
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Wolfram Math World: Spherical Coordinates

For Students 9th - 10th
This site provides a general overview of spherical coordinates, the system of curvilinear coordinates which describes positions on a sphere or spheroid.
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Website
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Wolfram Math World: Euclid: The Elements

For Students 6th - 8th
The classic treatise in geometry written by Euclid is presented in English. It is the textbook used for more than 1,000 years in western Europe.
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Handout
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Wolfram Math World: Determinant

For Students 9th - 10th Standards
This site has a good definition and examples of determinants, the site begins by explaining what the value of a determinant is, then gives an example of the determinant of a two by two matrix, a generic formula for finding the...
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Activity
Wolfram Research

Wolfram Math World: Algebra

For Students 9th - 10th Standards
This tutorial provides detailed overviews of the concepts and theorems associated with algebra.
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Handout
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Wolfram Math World: Line Integral

For Students 9th - 10th
Use this site to find the formula for the line vector of a field on a curve. Also included is the formula for complex plane circumstances. Read further down the page for higher math involving involveing Poincare's
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Activity
Wolfram Research

Wolfram Math World: Golden Ratio

For Students 9th - 10th
Math World explains the Golden Ratio, gives the formula for finding the irrational number, and expresses this value as an infinite series. Also defines and represents the Ratio geometrically, its relationship to the Fibonacci numbers,...
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Website
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Wolfram Math World: Permutation

For Students 9th - 10th Standards
This MathWorld page gives information about permutations. Its real merit lies in the fact that there are examples for a clear understanding at various parts of the site and many links to learn detailed information about various aspects...
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Activity
Wolfram Research

Wolfram Math World: Reflection

For Students 9th - 10th
This site defines reflection, separates reflection into two categories of amphichiral and chiral. The site also gives formulas used in reflective symmetry including point-plane distance, position of reflected points and has links to...
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Handout
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Wolfram Math World: Law of Sines

For Students 9th - 10th Standards
This MathWorld page gives a good explanation of the Law of Sines, which relates the lengths of the sides of a triangle to the sines of the opposite angles. This site gives a picture to help clarify the variables used in the equation....
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Handout
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Wolfram Math World: Second Derivative Test

For Students 9th - 10th
MathWorld.com has definitions, formulas, and links to relevant sites for derivatives.
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Handout
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Wolfram Science World: Bernoulli's Law

For Students 9th - 10th
In-depth explanation of Bernoulli's Law, including a diagram of a Venturi tube and equations.
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Handout
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Wolfram Math World: Normal Vector

For Students 9th - 10th
At this site from Math World you can find out various normal vector formulas, including normal vectors of planes, surfaces, tangent vectors, and three dimensional surfaces. This site also explains how the unit normal vector is derived.