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.
Table of Contents
Section 1: Summary of Series I and II, and Introduction to Series III
Section 2: Black Holes and Elementary Particles
Videos: (62): Black holes and elementary particles (Part 1) and (63): Black holes and elementary particles (Part 2)
Section 3: Techniques for Solving Equations
Lesson 1: The Equal Sign: The difference between solving an equation and simplifying an expression
Lesson 2: Addition and Subtraction
Lesson 3: Multiplying and Dividing
Lesson 4: Exponents and Radicals
Lesson 5: Cross Multiplication
Section 4: Solving Equations and Checking Solutions
Lesson 1: Introduction to Examples and MethodsVideos: (70): Solving Equations - Introduction to Examples and Methods and (71): Solving Equations - What are we solving for?
Lesson 2: Examples 1: Solving and CheckingVideos: (72): Solving Equations - Example 1, Part 1 of 3, (73): Solving Equations - Example 1, Part 2 of 3, and (74): Checking the Solution - Example 1, Part 3 of 3
Lesson 3: Examples 2 & 3: Solving Using Two MethodsVideos: (75): Solving Equations - Example 2, Two Methods and (76): Solving Equations - Example 3, 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 FunctionsVideos: (78): Introduction to Solving Quadratic Equations (Part 1) and (79): Introduction to Solving Quadratic Equations (Part 2)
Lesson 2: Factoring: Greatest Common FactorVideos: (80): Factoring: Part 1 - Greatest Common Factor (GCF), (81): Factoring: Part 2 - Greatest Common Factor (GCF), and (82): Factoring: Part 3 - Greatest Common Factor (GCF)
Lesson 3: Solving and Graphing Solutions: GCF
Lesson 4: Factoring: Simple Trinomial FactoringVideos: (85): Factoring: Part 4 - Simple Trinomial Factoring and (86): Factoring: Part 5 - Three examples of Simple Trinomial Factoring
Factoring polynomials continues in Series IIIb
Section 6: Introduction to Polynomial Functions
Videos: (89): Understanding Polynomials and Defining Terms (Part 1 of 3), (90): Understanding Polynomials and Defining Terms (Part 2 of 3), and (91): Understanding Polynomials and Defining Terms (Part 3 of 3)
Section 7: Miscellaneous