Intermediate Algebra: Modeling the World Episode Guide
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- Episode Guide 29 episodes
Episode Guide
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The Algebra of Functions
Specifying functions by a table, a set of ordered pairs, a graph or an equation.
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The Binomial Formula and Counting
Counting principles; computing probabilities.
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Conic Sections
Properties and graphs of shapes, circles, ellipses, parabolas, hyperboles.
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Exponential and Logarithmic Equations
Properties and methods used to solve exponential and logarithmic equations.
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Exponential Functions
Mathematical models; exponential growth and decay.
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Exponents and Radical Expressions
Managing very large or small numbers with scientific notation.
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Graphing Functions
Graphing linear, quadratic and higher degree functions.
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Graphing Inequalities
Steps of graphing linear inequalities.
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Graphing Quadratics
Plotting points; finding the vertex and intercepts; applying geometric transformations.
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Graphs of Equations and Functions
Cartesian coordinate system; intercept method for graphing linear equations.
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Inequalities and Absolute Values
Formulating and solving linear inequalities.
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Introduction to Quadratic Equations
Standard form; square root properties; solution of quadratic equations.
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Linear Equations
Solving word problems; consecutive integers.
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Logarithmic Functions
Solving unknowns in an exponent.
- Mathematical Functions
- Mathematical Functions Part 2-Introduction to Logarithms
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Operations on Matrices
Algebraic operations on matrices.
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Permutations, Combinations, & Probability
Calculation of probability; permutations; combinations.
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Polynomials
Simplification; addition; subtraction; multiplication.
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The Power of Algebra
Commutative, associative and distributive properties for addition and multiplication.
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Properties of Logarithms
Five key properties of logarithms.
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Quadratic Equations
Deriving a general formula; real world applications of the quadratic equation.
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Rational Expressions
Working with fractions involving polynomials.
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Sequences and Series
Numeric sequences and the sum of their terms.
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Solving and Graphing Equations
Verbal, symbolic, numeric and graphic problem-solving techniques.
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Solving by Factoring
Rate-time-distance formula; solving applied problems.
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Systems of Equations
Solution through substitution and elimination method.
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Systems of Linear Equations and Matrices
Solving sets of three equations in three unknowns.
- Variation and Systems of Linear Equations Part 2-Distance Formula
