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UNIT I - THE STRUCTURE OF MATHEMATICS
     Part A - Mathematics as a Language
          Lesson 1 - Mathematical Parts of Speech
          Lesson 2 - Mathematical Expressions
          Lesson 3 - Translation of Mathematical Symbols
     Part B - Further Investigation of Number Symbols
               Lesson 1 - The Development of Our Number System
          Lesson 2 - Fraction Forms and Decimal Forms
          Lesson 3 - Changing Fraction Forms to Decimal Forms
          Lesson 4 - Changing Decimal Forms to Fraction Forms
          Lesson 5 - Percent
          Lesson 6 - Primes, Composites, and Factoring
               Lesson 7 - Least Common Multiple
               Lesson 8 - Greatest Common Factor
     Part C - Further Investigation of Operation Symbols
               Lesson 1 - Order of Operations
               Lesson 2 - Properties of Operations
               Lesson 3 - Properties of Operations with Special Numbers
               Lesson 4 - Operations with Fractions - Multiplication
               Lesson 5 - Operations with Fractions - Addition and Subtraction
               Lesson 6 - Operations with Fractions - Division
               Lesson 7 - Operations with Decimals
          Lesson 8 - Operations with Signed Numbers - Vectors/Absolute Value
          Lesson 9 - Operations with Signed Numbers - Addition
          Lesson 10 - Operations with Signed Numbers - Subtraction
          Lesson 11 - Operations with Signed Numbers - Multiplication/Division
     Part D - Further Investigation of Relation Symbols
          Lesson 1 - Order of Numbers and the Number Line
               Lesson 2 - Properties of Equality
               Lesson 3 - Properties of Inequality
     Part E - Mathematical Models
               Lesson 1 - The Mathematics of Sets
               Lesson 2 - The Mathematics of Functions

UNIT II - FIRST-DEGREE RELATIONS WITH ONE PLACEHOLDER
     Part A - Basic Equations and Inequalities
          Lesson 1 - Solution Statements and Solution Sets
          Lesson 2 - First Type - Making Zeroes
               Lesson 3 - Second Type - Making Ones
               Lesson 4 - Combinations
     Part B - Complications on Equations and Inequalities
          Lesson 1 - Grouping Symbols
          Lesson 2 - Like Terms on the Same Side
               Lesson 3 - Placeholders on Both Sides
          Lesson 4 - Combinations - A Suggested Hierarchy
     Part C - Special Cases of Equations and Inequalities
          Lesson 1 - No Solution
               Lesson 2 - Infinite Number of Solutions
     Part D - Systems of Equations and Inequalities
          Lesson 1 - “And”
          Lesson 2 - “Or”
          Lesson 3 - Absolute Value “Equal To” a Number (or)
          Lesson 4 - Absolute Value “Less Than” a Number (and)
               Lesson 5 - Absolute Value “Greater Than” a Number (or)
     Part E - Problem-Solving Using One Placeholder
          Lesson 1 - General Setup
          Lesson 2 - “Number” Problems
               Lesson 3 - “Consecutive Integer” Problems
               Lesson 4 - “Age” Problems
               Lesson 5 - “Geometric Figure” Problems
               Lesson 6 - “Motion” Problems
               Lesson 7 - “Percent” Problems

UNIT III - FIRST-DEGREE RELATIONS WITH TWO PLACHOLDERS
     Part A - Solution Set for One Open Sentence
          Lesson 1 - Solution Sets of Equations
          Lesson 2 - Solution Sets of Equations
          Lesson 3 - Graphing Terminology
          Lesson 4 - Graphing Techniques for y=mx
               Lesson 5 - Graphing Techniques for y=mx+b
               Lesson 6 - Graphing Techniques – Intercepts
     Part B - Special Cases of Solution Sets
          Lesson 1 - y=a, y<a, y>a
          Lesson 2 - x=a, x<a, x>a
               Lesson 3 - Absolute Value
     Part C - Finding Relations from Solution Sets
          Lesson 1 - Given the Slope and y-intercept
          Lesson 2 - Given the Slope and One Solution
               Lesson 3 - Given Two Solutions
               Lesson 4 - Given Parallel or Perpendicular Lines and One Solution
     Part D - Solution Set for a System of Two Open Sentences
          Lesson 1 - Graphic Solution for Equations
          Lesson 2 - Graphic Solution for Inequalities
               Lesson 3 - Algebraic Solution for Equations-Elimination by Addition
               Lesson 4 - Algebraic Solution for Equations-Elimination by Substitution
     Part E - Special Cases of Solution Sets for Systems
          Lesson 1 - No Solution - Inconsistent
          Lesson 2 - Infinite Number of Solutions - Dependent
     Part F - Problem-Solving Using Two Placeholders
          Lesson 1 - General Setup
          Lesson 2 - “Number” Problems
               Lesson 3 - “Age Problems”
               Lesson 4 - “Geometric Figure” Problems
               Lesson 5 - “Motion” Problems
               Lesson 6 - “Percent” Problems
          Lesson 7 - “Value” or “Mixture” Problems

UNIT IV - FIRST-DEGREE RELATIONS WITH THREE OR MORE
                PLACEHOLDERS
     Part A - Solution Sets
               Lesson 1 - One Open Sentence
          Lesson 2 - Two Open Sentences
          Lesson 3 - Systems of Three or More Open Sentences (Algebraic Solution)
     Part B - Special Cases
          Lesson 1 - No Solution - Inconsistent
               Lesson 2 - Infinite Number of Solutions - Dependent
     Part C - Problem-Solving Using Three or More Placeholders
          Lesson 1 - “Number Problems"
          Lesson 2 - “Age" Problems
          Lesson 3 - “Geometric Figure” Problems
          Lesson 4 - “Value” or “Mixture” Problems

UNIT V - SECOND-DEGREE RELATIONS AND HIGHER
     Part A - Exponent Notation
          Lesson 1 - Definition and Terminology
          Lesson 2 - Operations with Powers
          Lesson 3 - Extensions of Operations with Powers
          Lesson 4 - Special Cases of Powers
               Lesson 5 - Scientific Notation
     Part B - Polynomials
          Lesson 1 - Algebraic Expressions
          Lesson 2 - Definition and Terminology
          Lesson 3 - Operations with Polynomials - Addition and Subtraction
          Lesson 4 - Operations with Polynomials - Multiplication
          Lesson 5 - Operations with Polynomials - Division
     Part C - Solving Equations and Inequalities by Factoring
          Lesson 1 - Principle of Zero Products
          Lesson 2 - Special Products - Common Factor
          Lesson 3 - Special Products - Difference of Squares
               Lesson 4 - Special Products - Perfect Square Trinomial
          Lesson 5 - Special Products - General Trinomial
          Lesson 6 - Special Products - Four-Term Polynomial
          Lesson 7 - Special Products - Sum or Difference of Cubes
          Lesson 8 - General Factoring Strategy
          Lesson 9 - Synthetic Division
          Lesson 10 - Literal Equations
     Part D - Problem-Solving with Higher-Order Relations
          Lesson 1 - “Number” Problems
          Lesson 2 - “Consecutive Integer” Problems
          Lesson 3 - "Geometric Figure" Problems
          Lesson 4 - "Formula" Problems

UNIT VI - ALGEBRAIC FRACTIONS
     Part A - Operations
          Lesson 1 - Simplifying
          Lesson 2 - Multiplying
          Lesson 3 - Dividing
          Lesson 4 - Adding and Subtracting
          Lesson 5 - Complex Forms
     Part B - Solving Open Sentences
          Lesson 1 - Equations (Arithmetic Case)
          Lesson 2 - Equations (Algebraic Case)
          Lesson 3 - Inequalities (Algebraic Case)
          Lesson 4 - Literal Equations
     Part C - Problem-Solving with Algebraic Fractions
          Lesson 1 - "Fraction" Problems
          Lesson 2 - "Work" Problems
          Lesson 3 - "Motion" Problems
          Lesson 4 - "Direct Variation" Problems
          Lesson 5 - "Inverse Variation" Problems
          Lesson 6 - "Mixed Variation" Problems

UNIT VII - RELATIONS OF RATIONAL NUMBER DEGREE
     Part A - Rational Numbers as Exponents
          Lesson 1 - Fractions and Exponents
          Lesson 2 - Odd and Even "Kth" Roots
     Part B - Operations with Radical Expressions
          Lesson 1 - Multiplying
          Lesson 2 - Simplifying with Perfect Powers
          Lesson 3 - Dividing and Simplifying
          Lesson 4 - Adding and Subtracting
          Lesson 5 - Radical Expressions in Polynomials
          Lesson 6 - Rationalizing Denominators
     Part C - Solving Radical Equations
          Lesson 1 - Equations with One Radical Expression
          Lesson 2 - Equations with Two Radical Expressions
     Part D - Problem-Solving with Relations Containing Radical Expressions
          Lesson 1 - The "Distance" Relation
          Lesson 2 - "Formula" Problem
     Part E - The Complex Numbers as a Mathematical System
          Lesson 1 - Imaginary and Complex Numbers
          Lesson 2 - Addition and Subtraction
          Lesson 3 - Multiplication
          Lesson 4 - Division

UNIT VIII - QUADRATIC EQUATIONS
     Part A - Solving Quadratic Equations of the Form
          Lesson 1 - Suppose a = 0, b = 0, or c = 0
          Lesson 2 - Suppose a, b, c = 0
          Lesson 3 - The Quadratic Formula
          Lesson 4 - Checking Solutions
          Lesson 5 - Quadratic Inequalities
     Part B - Equations that are Quadratic in Form
          Lesson 1 - Higher Integer Order
          Lesson 2 - Lower Rational Order, Greater Than Zero
          Lesson 3 - Integer Order Less Than Zero
     Part C - Problem-Solving with Quadratic Relations
          Lesson 1 - "Geometric Figure" Problems
          Lesson 2 - "Pythagorean Theorem" Problems
          Lesson 3 - "Work" Problems
          Lesson 4 - "Motion" Problems

UNIT IX - THE CONIC SECTIONS
      Part A - Parabolas - The Quadratic Function
          Lesson 1 - Origins
          Lesson 2 - The Graph of y=ax²
          Lesson 3 - The Graph of y=(x-h)²
          Lesson 4 - The Graph of y=x²+k
          Lesson 5 - The Graph of y=a(x-h)²+k
          Lesson 6 - Intercepts
      Part B - Circles
          Lesson 1 - Standard Form
          Lesson 2 - Not Standard Form
      Part C - Ellipses
          Lesson 1 - Standard Form
          Lesson 2 - Not Standard Form
      Part D - Hyperbolas
          Lesson 1 - Standard Form
          Lesson 2 - Not Standard Form
      Part E - Solving Systems of Relations
          Lesson 1 - One First-Degree and One-Second Degree
          Lesson 2 - Two Second-Degree
      Part F - Problem-Solving with Non-Linear Systems
          Lesson 1 - "Number" Problems
          Lesson 2 - "Geometric Figure" Problems

UNIT X - EXPONENTIAL AND LOGARITHMIC FUNCTIONS
      Part A - Exponential Functions
          Lesson 1 - Graphs of Solution Sets for f(x)=a^x
          Lesson 2 - Graphs of Solution Sets for f(y)=a^y
      Part B - Logarithmic Functions
          Lesson 1 - Logarithmic Functions as Inverses of Exponential Functions
          Lesson 2 - Graphs of Solution Sets for f(x)=log_ax
      Part C - Operations with Logarithms
          Lesson 1 - Properties of Logarithms
          Lesson 2 - Finding Logarithms
               Lesson 3 - Computation
      Part D - Solving Open Sentences
          Lesson 1 - Exponential Equations
          Lesson 2 - Logarithmic Equations