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## Friday, May 25, 2012

### Series IIIa Description: What's Contained in this Series

In this series we learn different techniques for solving equations, combine and isolate variables, talk about the equal sign, how to move around an equation, discuss the graphical meaning for solving equations, learn about restrictions, and how we would go about checking solutions.

Also included is an introduction to polynomial equations and functions, a discussion of their classifications, and factoring techniques, beginning with the Greatest Common Factor (GCF) and Simple Trinomial Factoring (Factoring techniques for polynomials is continued in Series IIIb).

In addition to the above, we also take a brief look at the difference between black holes and elementary particles.

Full list and links for all the videos contained in the series are provided below and are available at: Table of Contents: The Language of Mathematics - Series IIIa.

See Videos Available for Download for information on the torrent for this series.

Section 1: Summary of Series I and II, and Introduction to Series III

Section 2: Black Holes and Elementary Particles

Section 3: Techniques for Solving Equations

Lesson 1: The Equal Sign: The difference between solving an equation and simplifying an expression

Lesson 3: Multiplying and Dividing

Lesson 5: Cross Multiplication

Section 4: Solving Equations and Checking Solutions

Lesson 1: Introduction to Examples and Methods

Lesson 2: Examples 1: Solving and Checking

Lesson 3: Examples 2 & 3: Solving Using Two Methods

Lesson 4: Four Examples of Simple Equations

Lesson 5: How not to solve an equation: Do not eliminate solutions

Lesson 6: Finding Restrictions for Equations: No Dividing by Zero

Section 5: Solving Quadratic Equations: Factoring Techniques

Lesson 1: Introduction to Quadratic Equations and Functions

Lesson 2: Factoring: Greatest Common Factor

Lesson 3: Solving and Graphing Solutions: GCF

Lesson 4: Factoring: Simple Trinomial Factoring

Factoring polynomials continues in Series IIIb

Section 6: Introduction to Polynomial Functions

Section 7: Miscellaneous