Algebra

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Pre-Algebra Tutoring: Relations and Functions
Pre-Algebra Tutoring: Relations and Functions 150 150 Deborah

Overview:  What Are Relations and Functions? A relation in algebra is a set of ordered pairs. The first element of the ordered pair is the domain, and the second element…

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Exponents and Scientific Notation
Exponents and Scientific Notation 150 150 Deborah

 Overview:  Exponents and Variables An exponent is a signal for how many times to multiply a number over again.  For example, 26 means the same thing as 2 ∙ 2…

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Conic Sections: Circle, Parabola, Hyperbola, and Ellipse
Conic Sections: Circle, Parabola, Hyperbola, and Ellipse 150 150 Deborah

Overview:  What Is a Conic Section? Conic sections are the curves formed when a right circular cone intersects with a plane.  The angle that the plane  makes when it “cuts through” the…

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Right Triangles and Trigonometric Functions
Right Triangles and Trigonometric Functions 150 150 Deborah

Overview:  What Are Right Triangles? Right triangles have one angle with a measure of 90o.  As can be shown from the axiom in geometry that the sum of all three…

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Finite and Infinite Mathematical Series
Finite and Infinite Mathematical Series 150 150 Deborah

Overview:  What Is A Mathematical Series? A mathematical series is the sum of the elements of a mathematical sequence.  If the series is finite, the sum will be a finite…

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Mathematical Sequences and Pascal’s Triangle
Mathematical Sequences and Pascal’s Triangle 150 150 Deborah

Overview:  What Are Mathematical Sequences? A mathematical sequence is a function that follows a specific rule and a specific pattern.  For example, a number set A consists of {3, 5,…

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Factoring Polynomials
Factoring Polynomials 150 150 Deborah

Overview:  Factoring Polynomials In order to factor polynomials, it is important to find the greatest common factors and use the distributive property.  Use the integral coefficients to rewrite the polynomial…

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Lines, Slopes, and Intercepts
Lines, Slopes, and Intercepts 150 150 Deborah

Overview:  Graphing Linear Equations One way to represent a linear equation  is to graph it on the coordinate plane.  In order to graph the line accurately, it is important to…

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Exponential and Logarithmic Functions
Exponential and Logarithmic Functions 150 150 Deborah

Overview:  What Are Exponential Functions? Exponential functions are a special type of mathematical functions that follow the formula y = ax.  The constant a and the exponent x are both…

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The Mathematical Foundations of Music
The Mathematical Foundations of Music 150 150 Deborah

Algebra and Geometry in Music? The mathematical foundations of music involve algebra and geometry, in a complex relationship that has been known for thousands of years.  Ancient mathematicians from China…

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