Math Factor Episode Guide

Episode Guide

• Binomial Theorem (Pascal's Triangle)
• Characteristics of Normal Distribution
• Division of Polynomical Functions
• Exponential and Logarithmic Functions

  Graphing exponential functions.

• Exponential and Logarithmic Functions

  Exponential growth and decay.

• Exponential and Logarithmic Functions

  Inverses, logarithms, graphs.

• Exponential and Logarithmic Functions

  Exponent laws; simplifying expressions.

• Exponential and Logarithmic Functions

  Review of expressions, equations, graphs.

• Exponential and Logarithmic Functions

  Logarithmic applications; experiments.

• Exponential and Logarithmic Functions

  Base 10 and non-base 10 solutions.

• Factoring and Graphing Polynomial Functions
• Identification, Connections and Applications of Quadratic Relations
• Introduction

  Introduction to the Math Factor series.

• Introduction
• Introduction to Polynomial Functions

  Water fountains and speeding cars are used to introduce polynomial functions.

• Introduction to Sequences

  Finite and infinite sequences.

• Locus and Eccentricity

  Several approaches used to study the hyperbola's shape.

• Normal Distribution
• Permutations and Combinations

  The fundamental counting principle.

• Permutations and Combinations

  Ordered probability problems.

• Permutations and Combinations

  Probability games.

• Permutations and Combinations

  Pascal's Triangle; binomial distribution.

• Permutations and Combinations

  Permutations and combinations review.

• Permutations and Combinations

  Expanding powers of binomials; patterns.

• Permutations and Combinations

  Counting choices and problem solving.

• Permutations and Combinations

  Circular and ring permutations.

• Permutations and Combinations -- Review
• Polynomial Functions

  Introduction to polynomial functions.

• Polynomial Functions

  Division of polynomial functions.

• Polynomial Functions

  The remainder and factor theorems.

• Polynomial Functions

  Review of polynomial functions.

• Polynomial Functions

  Applications and problem solving.

• Polynomial Functions

  Factoring and graphing polynomial functions.

• Preparing for Exams

  Strategies for math exam creation.

• Quadratic Equations

  Topology of the double-napped cone.

• Quadratic Relations

  The difference between a relation and a function.

• Quadratic Relations

  Review.

• Quadratic Relations

  Parabolic shape, loci and eccentricities.

• Quadratic Relations

  Defining eccentricity.

• Quadratic Relations

  Locus definitions; conic equations.

• Quadratic Relations

  Identifying the four conic forms.

• Quadratic Relations

  Hyperbolas; real-life applications.

• Quadratic Relations

  Parabolas and hyperbolas.

• Quadratic Relations

  Physical characteristics of the circle and ellipses.

• Quadratic Relations Review

  Reviewing quadratic relations.

• The Remainder and Factor Theorems

  The remainder theorem is illustrated, proven, and then used to prove the factor theorem.

• Sequences and Series

  Pictoral and numerical arithmetic sequences.

• Sequences and Series

  Defining geometric sequences.

• Sequences and Series

  Developing both forms of the sum formula used for arithmetic series questions.

• Sequences and Series

  Examples of geometric series.

• Sequences and Series

  Sigma notation and trigonometric ratios; Pascal's triangle.

• Sequences and Series: A Review

  A review of arithmetic and geometric sequences and series.

• Sequences: Recursive Forms

  Defining and writing the terms of a sequence.

• Statistics

  The useful role of statistics.

• Statistics

  The normal distribution.

• Statistics

  Review.

• Statistics

  Uses for the standard normal curve.

• Trigonometric and Circular Functions

  Trigonometric function vocabulary.

• Trigonometric and Circular Functions

  Algebraic and graphic problem solving.

• Trigonometric and Circular Functions

  Radian measurement.

• Trigonometric and Circular Functions

  Radians; degrees; reciprocal functions.

• Trigonometric and Circular Functions

  Graphing transformations.

• Trigonometric and Circular Functions

  Computers; transformation of functions.

• Trigonometric and Circular Functions

  Building models; graphing functions.

• Trigonometric and Circular Functions

  Derivations; using identities.

• Trigonometric and Circular Functions

  Sum and difference identities.

• Trigonometric and Circular Functions

  Solving complex equations.

• Trigonometric and Circular Functions

  Review.

• Writing the Final Exam

  Students and teachers prepare a final exam.