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Math Introduction to Solving Number Patterns 150 150 Deborah

Math Introduction to Solving Number Patterns

Overview: One problem-solving strategy in mathematics is to look for a pattern that will predict the next number in a sequence.  That is often the first step to writing an equation that describes how to find each number.  Some famous patterns, such as Fibonacci numbers and Pascal’s triangle, play an important role in number theory.…

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Math Review of Operations with Matrices 150 150 Deborah

Math Review of Operations with Matrices

Overview: Matrices, like other numbers, variables, and expressions, can be involved in mathematical operations.  The rules are different, as every element of each matrix must be included.  Also, only certain types of matrices can be combined. How Are Matrices Added? In order to add matrices, both matrices must be of the same dimensions so that…

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Math Introduction to Matrices 150 150 Deborah

Math Introduction to Matrices

Overview: A matrix is an array of rows and columns that contain numbers or variables. Each position in the matrix is specific and serves a distinct purpose. Matrices can be defined by their size and shape. How Is A Matrix Defined? A matrix is defined by the number of rows and columns it has. Those rows and…

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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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