CHAPTER 1
EXPRESSIONS AND FORMULAS
ONE VARIABLE EQUATIONS AND INEQUALITIES

1. Expressions and Formulas: Order of Operations.* 
2. Real Numbers: Properties of Numbers, and Number Sets.* 
3. One Variable Linear Equations Including Absolute Value.* 
4. One Variable Linear Inequalities Including Absolute Value.* (For Inequalities Real World Applications lesson.* See chapter 7) 
5.Inequalities Real World Applications.* 
CHAPTER 2
RELATIONS AND FUNCTIONS
SYSTEMS OF TWO VARIABLE EQUATIONS AND INEQUALITIES

1. Relations and Functions.* 
2. Introduction to Slope of a Line.* 
3. Two Variable Systems of Linear Equations.* 
4. Two Variable Systems of Linear Inequalities.* 
CHAPTER 3
OTHER WAYS TO SOLVE SYSTEMS OF LINEAR EQUATIONS
LINEAR PROGRAMING

1. Using Determinants to Solve Systems of Linear Equations: Cramer's Rule. 
2. Using Augmented Matrix to Solve Systems of Linear Equations. Introduction of Matrices and their operations. 
3. Linear Programing: Using a Set of Conditions to Create a Polygon and Using the Vertices to Optimize an Optimizing Function. 
CHAPTER 4
ARITHMATIC OF POLYNOMIALS AND PROPERTIES OF EXPONENTS
RADICAL EQUATIONS AND ONE INTRODUCTION TO COMPLEX NUMBERS.

1. Adding, Substracting, Multiplying and Dividing Polynomials 1* 
2. Adding, Substracting, Multiplying and Dividing Polynomials 2* 
3. Algebra Tiles Adding Polynomials* (modeling: Concrete to abstract) 
4. Algebra Tiles Multiplying and factoring Polynomials* (modeling: Concrete to abstract) 
5. Properties of Exponents. Adding, Subtracting, Multiplying and Dividing.* 
6. Simplifying Numeric Rational and Irrational Radicals.. Learn to simplify numerical radical expressions, multiply and divide them. 
7. Rational Exponents and Radicals. Adding, Subtracting, Multiplying and Dividing. Including expressions with variables. 
8. Radical Equations and Inequalities. Determining valid domain and solution.* 
9. Complex Numbers. Adding, Subtracting, Multiplying and Dividing. 
CHAPTER 5
ANALYTIC GEOMETRY
CONICS: PARABOLA, CIRCLE, ELLIPSE, HYPERBOLE

1. Quadratic Functions.* 
2. Discriminant and Sum & Product of Roots.* 
3. Distance Formula, and Midpoint Formula.* 
4. Parabola: From Graph to Equation and From Equation to Graph. 
5. Circle: From Graph to Equation and From Equation to Graph. 
6. Ellipse: From Graph to Equation and From Equation to Graph. 
7. Hyperbole: From Graph to Equation and From Equation to Graph. 
10. Inequalities with All Conics. 
CHAPTER 6
REAL WORLD APPLICATIONS AND PROOFS
FOR CONICS AND POLYNOMIAL FUNCTIONS AND INEQUALITIES

1. Conic Sections ad Their Generator 
2. Conic Sections and The General Equation for Conics. 
3. Parabola Formula Proof. 
4. Ellipse Formula Proof. 
5. Hyperbole Formula Proof. 
6. A Ball Up to a Ramp Generates a Parabolic Model.* 
7. Animation for the Ball Up to a Ramp (Vernier LabPro 2) 
8. Finding the Maximum Area of a Rectangle with 24 wood sticks. Quadratic Model: Parabola* 
9. Geometry and Algebra to Represent Arithmetic with Polynomials using Base 10 or Foam Prisms.* 
CHAPTER 7
FUNCTIONS THAT INVOLVE POLYNOMIALS

1. Polynomials and Zeros, Roots or Solutions (Intersections with xaxis) 
2. Mathematical Models Activity that Yields Polynomial Functions. 
3. Rational Zero Theorem 
4. Quadratic Technics to Solve Polynomial Functions of Higher Degree. 
5. Composition of Functions, and Inverse of Functions. 
INSIDE EACH LESSON YOU MAY DO AS THIS GRAPHIC SHOWS

CHAPTER 8
RATIONAL EQUATIONS, EXPONENTIAL AND LOGARITMIC EQUATIONS
AND AN INTRODUCTION TO SEQUENCES AND SERIES (ARITHMETIC AND GEOMETRIC)

1. Rational Equations.* 
2. Base Number Systems Introduction: Base 10 to Base 2, Binary and Base 20. Converting between basis and Basic Math Operations with Properties of Real Numbers and Properties of Equality. 
3. Base Number Systems Introduction: Arithmetic Operations 
4. Arithmetic Operations With Base 16 or Hexadecimal in particular Multiplications 
5. Arithmetic Operations With Base Different than base 10: Divisions 
6. Exponential and Logarithmic Equations. 
7. Arithmetic and Geometric Sequences and Series. 
CHAPTER 9
PROBABILITY AND STATISTICS TOPICS
(Topics in these lessons are also in the section for statistics)

1. Measures of Central Tendency and Dispersion: Mean, Median and Mode. Standard Deviation and Variance. 
2. Counting Principle. 
3 Combinations and Permutations. 
4. Experimental Probability (Introduction) 
5. Adding Probabilities (Module "OR") and Multiplying Probabilities (Module "AND") (From Informal to Formal) 
6 Binomial Probability. Calculated with the formula, the tables and with Ti83 Texas Instrument Calculator. 
7 Normal Distribution: Introduction to Standard Normal Distribution and Zscore 
CHAPTER 10
PLAYING DICE, CARDS AND THE WHEEL OF FORTUNE.
A HANDS ON APPROACH TO LEARN PROBABILITY.

1. Real World Probability with a Spinning Wheel. (You fill in the tables) 
2. Real World Probability with a Spinning Wheel (Tables already fill) 
3. Real World Probability with Dice and Cards (You fill the tables) 
3. Real World Probability with Dice and Cards (Tables already fill) 
CHAPTER 11
ADVANCED TOPICS OF TRIGONOMETRY

1. Trigonometry An In Depth Approach to Sine, Cosine, Tangent, Cotangent, Secant and Cosecant: Trigonometry Ratios and Their Graphs and Real World Applications. 
2. Trigonometric Graphing of Functions with an emphasis in parameters. 
3. Trigonometry Identities. Sum and Difference, Double Angle and Half Angle. PROOFS 
4. Graphing Polar Functions: Limazon, Cardioid, Even or odd number of Leaves Rose (odd and even), Leminiscate, etc 
5. Complex Roots and their graphs: with emphasis on phases and solution polygons. (Same lesson posted in trigonometry as Modeling in Trigonometry title.) 