Algebra

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Math Introduction to Consistent and Inconsistent Systems
Math Introduction to Consistent and Inconsistent Systems 150 150 Deborah

Overview: One of the ways to compare equations in linear systems is to see how many solutions both equations have in common. If both equations have no solutions in common, they…

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Math Introduction to Linear Equations
Math Introduction to Linear Equations 150 150 Deborah

Overview: Linear equations are prevalent in algebra when the relationship between variables and constants can be plotted on a straight line.  For example, suppose the equation were 2x = y. …

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Math Introduction to Fibonacci Numbers
Math Introduction to Fibonacci Numbers 150 150 Deborah

Overview: What does the spiral arrangement of leaves on a pine cone have in common with the arrangement of florets in a center of a daisy or the spirals of…

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Math Introduction to Using Formulas
Math Introduction to Using Formulas 150 150 Deborah

Overview: A math formula is shorthand for expressing a relationship between quantities, numbers or variables.  Common mathematical formulas make experimental data useful and meaningful. What Is a Formula? A mathematical…

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Math Introduction to Solving Number Patterns
Math Introduction to Solving Number Patterns 150 150 Deborah

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…

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Math Review of Operations with Matrices
Math Review of Operations with Matrices 150 150 Deborah

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…

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Math Introduction to Matrices
Math Introduction to Matrices 150 150 Deborah

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…

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Math Introduction to Fractals
Math Introduction to Fractals 150 150 Deborah

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…

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Math Introduction to Modular (Clock) Arithmetic
Math Introduction to Modular (Clock) Arithmetic 150 150 Deborah

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…

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Math Introduction to Infinity
Math Introduction to Infinity 150 150 Deborah

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…

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