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Math Introduction to Fractals 150 150 Deborah

Math Introduction to Fractals

Overview: The world of fractal geometry is usually pictured in beautiful images of self-similarity.  Although the images are intricate, they are based on relatively simple calculations and replacements. What Is Self-Similarity? Self-similarity means that the pattern is the same or nearly the same no matter what scale is examined.  The instructions (or equations) to create…

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Math Introduction to Modular (Clock) Arithmetic 150 150 Deborah

Math Introduction to Modular (Clock) Arithmetic

Overview In modular arithmetic, numbers cycle rather than increase when operations are performed.  Think of a clock with numbers equal to the cycle.  Extensive applications include UPC numbers, the electronic numbers on the bottom of bank checks, and public key codes. How Does Modular Addition Work? The most common real world example of modular arithmetic…

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Math Introduction to Infinity 150 150 Deborah

Math Introduction to Infinity

Overview: The mathematical concept of infinity involves sets of numbers that grow past any limit, no matter how huge that limit is. One-to-one correspondence is a useful tool for comparing sets of numbers and points.  There seem to be levels and sizes to infinite sets, so that some infinite sets are larger than others. What…

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Representing Data: Ranges, Quartiles, and Box-and-Whisker Plots 150 150 Deborah

Representing Data: Ranges, Quartiles, and Box-and-Whisker Plots

Overview: Raw data from any series of measurements, such as test scores, heights, or sales figures, usually needs to be organized in some way before it can be used.  One of the ways that data can be organized is in a frequency distribution.  Then the range of data can be determined and other measurements of…

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Math Review of Relations and Functions 150 150 Deborah

Math Review of Relations and Functions

Overview: While a set of ordered pairs describes a relation, not every relation is also a function.  Each x element (the domain) must be paired with only one y element (the range) to be a function.  The relationship between each ordered pair can be tested to determine if the relation is actually a function. What Are…

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Math Review of Factoring Polynomials 150 150 Deborah

Math Review of Factoring Polynomials

Overview: Polynomials can be completely factored in a similar way to factoring other numbers and monomials.  It is a process of finding the greatest common factors in the expression, paying close attention to the way the numbers and variables are distributed, and checking to see if the factored form is equivalent to the original expressions. …

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Math Review of Permutations and Factorials 150 150 Deborah

Math Review of Permutations and Factorials

Overview: Permutations and factorials are closely related mathematical concepts.  Permutations relate to the order of objects, while factorials involve all possible outcomes of an event.  If items are ordered in a particular way, factorials determine the number of times they can be ordered. What Are Permutations? Permutations are rankings where the order matters.  Suppose a…

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Math Review of Squaring Binomials 150 150 Deborah

Math Review of Squaring Binomials

Overview When binomials are squared, the resulting trinomial follows a pattern.  The pattern can be derived from the general process of multiplying a binomial by another binomial, except that all the terms are the same.  As in the general process, the Distributive Property is used, then like terms are combined. What Is A Squared Binomial?…

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Multiplication of Polynomials 150 150 Deborah

Multiplication of Polynomials

Overview Polynomials can be multiplied similarly to operations with monomials.  There are two different types of properties used, the Distributive Property, and properties of multiplying exponents.  In addition, like terms can be combined to simplify the resulting equation. Multiplying a Monomial by a Polynomial In some types of expressions, a monomial is multiplied by a…

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Addition and Subtraction of Polynomials 150 150 Deborah

Addition and Subtraction of Polynomials

Overview: Polynomial expressions can be added and subtracted just like any other type of expression. However, it is important to make sure that only like terms are combined, and unlike terms are kept separate from each other.  The resulting expression contains all the like and unlike terms of all the polynomials being considered. What Are…

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