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Math Introduction to Consistent and Inconsistent Systems 150 150 Deborah

Math Introduction to Consistent and Inconsistent Systems

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 are referred to as inconsistent. If only one ordered pair can solve both equations, the systems are called consistent, but if the equations have more…

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Math Introduction to Linear Equations 150 150 Deborah

Math Introduction to Linear Equations

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.  If the value for x were 1, the value for y would be 2, or for x were 2, y would be 4, and so…

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Biology Review of Algae 150 150 Deborah

Biology Review of Algae

Overview: There are many different types of algae.  They are autotrophic, which means they make their own food by photosynthesis.  Some algae are one-celled, while other algae contain many cells that are held together, such as kelp. What Are Algae? The cells of algae contain separate nuclei surrounded by membranes.  Most of them have more…

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Chemistry Review of Ionic Compounds 150 150 Deborah

Chemistry Review of Ionic Compounds

Overview Some chemical elements use ionic bonds to form compounds.  Those compounds use electrical attraction between elements to maintain chemical bonds, and rules govern which elements gain or lose electrons.  Table salt, or sodium chloride (NaCl), is an example of an ionic compound. How Are Ionic Compounds Formed? Ionic compounds are formed from positively charged ions…

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Chemistry Review of Covalent Compounds 150 150 Deborah

Chemistry Review of Covalent Compounds

Overview: Many chemical compounds are not formed by ionic bonds, but by covalent bonds, where a number of elements share the same electrons.  Compounds that are formed by covalent bonds are not limited to elements that can transfer electrons between one another.  Some bonds are double or even triple. How Is Covalent Bonding like Ionic…

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Math Introduction to Fibonacci Numbers 150 150 Deborah

Math Introduction to Fibonacci Numbers

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 fruit buds on a pineapple?  Those spirals can be approximated by a mathematical sequence of numbers known as Fibonacci numbers. What Is the Fibonacci Sequence?…

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Math Introduction to Using Formulas 150 150 Deborah

Math Introduction to Using Formulas

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 formula is used to mirror a relationship between quantities.  Some of those quantities are fixed (such as the speed of light in Einstein’s famous E…

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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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