Intermediate Algebra: Modeling the World Episode Guide

Episode Guide

• The Algebra of Functions

  Specifying functions by a table, a set of ordered pairs, a graph or an equation.

• The Binomial Formula and Counting

  Counting principles; computing probabilities.

• Conic Sections

  Properties and graphs of shapes, circles, ellipses, parabolas, hyperboles.

• Exponential and Logarithmic Equations

  Properties and methods used to solve exponential and logarithmic equations.

• Exponential Functions

  Mathematical models; exponential growth and decay.

• Exponents and Radical Expressions

  Managing very large or small numbers with scientific notation.

• Graphing Functions

  Graphing linear, quadratic and higher degree functions.

• Graphing Inequalities

  Steps of graphing linear inequalities.

• Graphing Quadratics

  Plotting points; finding the vertex and intercepts; applying geometric transformations.

• Graphs of Equations and Functions

  Cartesian coordinate system; intercept method for graphing linear equations.

• Inequalities and Absolute Values

  Formulating and solving linear inequalities.

• Introduction to Quadratic Equations

  Standard form; square root properties; solution of quadratic equations.

• Linear Equations

  Solving word problems; consecutive integers.

• Logarithmic Functions

  Solving unknowns in an exponent.

• Mathematical Functions
• Mathematical Functions Part 2-Introduction to Logarithms
• Operations on Matrices

  Algebraic operations on matrices.

• Permutations, Combinations, & Probability

  Calculation of probability; permutations; combinations.

• Polynomials

  Simplification; addition; subtraction; multiplication.

• The Power of Algebra

  Commutative, associative and distributive properties for addition and multiplication.

• Properties of Logarithms

  Five key properties of logarithms.

• Quadratic Equations

  Deriving a general formula; real world applications of the quadratic equation.

• Rational Expressions

  Working with fractions involving polynomials.

• Sequences and Series

  Numeric sequences and the sum of their terms.

• Solving and Graphing Equations

  Verbal, symbolic, numeric and graphic problem-solving techniques.

• Solving by Factoring

  Rate-time-distance formula; solving applied problems.

• Systems of Equations

  Solution through substitution and elimination method.

• Systems of Linear Equations and Matrices

  Solving sets of three equations in three unknowns.

• Variation and Systems of Linear Equations Part 2-Distance Formula