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Basic Mathematics

Addition and Subtraction I

Addition and Subtraction II

Subtraction Quiz

Decimals Addition and Subtraction

Quiz I Addition Quiz

Decimals The Number System

Fractions Addition and Subtraction

Fractions-The Number System.

Multiplication and Division I

Multiplication and Division II

Multiplication Quiz

Multiplication and Division III

Division Quiz

Multiplication and Division of Fractions

The Number System

Word Problems and Equations



Pre-Algebra Syllabus

Whole Numbers

Unit 1.1  Place, Value, and Names of Numbers

Unit 1.2.- Addition with Whole Numbers, and Perimeter

Unit 1.3 Rounding Numbers and Estimating Answers

Unit 1.4 Subtracting with Whole Numbers

Unit 1.5 Multiplication with Whole Numbers

Unit 1.6 Division with Whole Numbers

Unit 1.7 Exponents, Order of Operations, and Averages

Unit 1.8f Area and Volume

Pre- Algebra Unit 1.1 Whole Numbers Quiz


Introduction to Algebra

Unit 2.1 Positive and Negative Numbers

Unit 2.2 Addition with Negative Numbers

Unit 2.3 Subtraction with Negative Numbers

Unit 2.4 Multiplication with Negative Numbers

Unit 2.5 Division with Negative Numbers

Unit 2.6 Simplifying Algebraic Expressions

Pre-Algebra Unit 2 Introduction to Algebra Quiz


Fractions and Mixed Numbers

Unit 3.1 The Meaning and Properties of Fractions

Unit 3.2 Prime Numbers, Factors, and Reducing to Lowest Terms

Unit 3.3 Multiplication with Fractions, and the Area of a Triangle.

Unit 3.4 Division with Fractions

Unit 3.5 Addition and Subtraction with Fractions

Unit 3.6 Mixed- Number Notation

Unit 3.7 Multiplication and Division with Mixed Numbers

Unit 3.8 Addition and Subtraction with Mixed Numbers

Pre-Algebra Unit 3 Fractions and Mixed Numbers Quiz


Solving Equations

Unit 4.1 The Distributive Property and Algebraic Expressions

Unit 4.2 The Addition Property of Equality

Unit 4.3 The Multiplication of Equality

Unit 4.4 Linear Equations in One Varibale

Unit 4.5 Applications

Unit 4.6 Evaluating Formulas

Unit 4.7 Paired Data and Equations in Two Variables

Unit 4.8 The Rectangular Coordinate System

Unit 4.9 Graphing Straight Lines

Pre- Algebra Unit 4 Solving Equations



Unit 5.1 Decimal Notation and Place Value

Unit 5.2 Addition and Subtraction with Decimals

Unit 5.3 Multiplication with Decimals; Circumference and Area of a Circle

Unit 5.4 Division with Decimals

Unit 5.5 Fraction with Decimals

Unit 5.6 Equations Containing Decimals

Unit 5.7 Square Roots and the Pythagorean Theorem

Unit 5.8 Simplifying Square Roots

Unit 5.9 Adding and Subtracting Roots

Pre-Algebra Unit 5 Decimals Quiz


Ratio and Proportion

Unit 6.1 Ratios

Unit 6.2 Rates and Unit Pricing

Unit 6.3 Proportions

Unit 6.4 Applications of Proportions

Unit 6.5 Similar Figures

Pre-Algebra Unit 6 Ratio and Proportion Quiz



Unit 7.1 Percents, Decimal and Fractions

Unit 7.2 Basic Percent Problems

Unit 7.3 General Applications of Percent

Unit 7.4 Sales Tax and Commissions

Unit 7.5 Percent Increase or Decrease, and Discount

Unit 7.6 Interest

Unit 7.7 Pie Charts

Pre-Algebra Unit 7 Percent Quiz



Unit 8.1 Unit Analysis I: Length

Unit 8.2 Unit Analysis II: Volume

Unit 8.3 Unit Analysis III: Weight

Unit 8.4 Converting Between the Two Systems and Temperature

Unit 8.5 Operations with Time and Mixed Units

Pre-Algebra Unit 8 Measurement Quiz


Exponents and Polynomials

Unit 9.1 Multiplication Properties of Exponents

Unit 9.2 Adding and Subtracting Polynomials

Unit 9.3 Multiplying Polynomials: An Introduction

Unit 9.4 Negative Exponents

Unit 9.5 Scientific Notation

Unit 9.6 Multiplication and Division wtih Scientific Notation

Pre-Algebra Unit 9 Exponents and Polynomials Quiz


Algebra I

Algebra I Syllabus

Chapter I Real Numbers And Variable Expressions

Unit 1-1 Introduction to Integers

Unit 1-2 Operations with Integers

Unit 1-3 Rational Numbers

Unit 1-4 Exponents and the Order of Operations Agreement

Unit 1-5 Variable Expressions

Unit 1-6 Translating Variable Expressions into Verbal Expressions

Unit 1 Quiz


Chapter 2 Solving Equations and Inequalities

Unit 2-1 Introduction to Equations

Unit 2-2 General Equations

Unit 2-3 Value Mixture and Uniform Motions Problem

Unit 2-4 Geometry Problems

Unit 2-5 Mark Up and Discount Problems

Unit 2-6 Applications: Problems Involving Percents

Unit 2-7 Inequalities in one Variable

Unit 2 Quiz


Chapter 3 Linear Functions and Inequalities in two Variables

Unit 3-1 The Rectangular Coordinate System

Unit 3-2 Introduction to Functions

Unit 3-3 Linear Functions

Unit 3-4 Slope of a Straight Line

Unit 3-5 Finding Equations of Lines

Unit 3-6 Parallel and Perpendicular Lines

Unit 3-7 Inequalities in Two Variables

Unit 3 Quiz


Chapter 4 System of Equations

Unit 4-1  Solving Systems of Linear Equations by Graphing and by the Substitution Method

Unit 4-2 Solving the Systems of Linear Equations by the Addition Method

Unit 4-3 Solving System of Equations by Using Determinants and by Using Matrices

Unit 4-4 Application Problems

Unit 4-5 Solving Systems of Linear Inequalities

Unit 4 Quiz


Chapter 5 Polynomials

Unit 5-1 Introduction to Polynomials

Unit 5-1 Study Guide

Unit 5-2 Multiplication of Monomials

Unit 5-3 Multiplication of Polynomials

Unit 5-4 Integer Exponents and Scientific Notation

Unit 5-5 Division of Polynomials

Unit 5 Quiz


Chapter 6 Factoring

Unit 6-1 Common Factors

Unit 6-2 Factoring Polynomials of the Form x2+bx+c

Unit 6-3 Factoring Polynomials of the Form ax2+bx+c

Unit 6-4 Special Factoring

Unit 6-5 Factor Polynomials Completely

Unit 6-6 Solving Equations

Unit 6 Quiz


Algebra II

Algebra II Syllabus

Chapter 7 Rational Expressions

Unit 7-1 Introductions to Rational Functions

Unit 7-2 Operations on Rational Expressions

Unit 7-3 Complex Fractions

Unit 7-4 Rational Equations

Unit 7-5 Proportions and Variation

Unit 7-6 Literal Equations

Unit 7 Quiz


Chapter 8 Rational Exponents

Unit 8-1 Rational Exponents and Radical Expressions

Unit 8-2 Operations and Radical Expressions

Unit 8-3 Radical Functions

Unit 8-4 Solving Equations Containing Radical Expressions

Unit 8-5 Complex Numbers

 Unit 8 Quiz


Chapter 9 Quadratic Equations

Unit 9-1 Solving Quadratic Equations by Factoring or Taking Square Root

Unit 9-2 Solving Quadratic Equations Completing the Square and by Using Quadric Formula 

Unit 9-3 Equations that are Reducible to Quadratic Equations

Unit 9-4 Applications of Quadratic Equations

Unit 9-5 Properties of Quadratic Functions

Unit 9-6 Applications of Quadratic Functions

Unit 9-7 Nonlinear Inequalities

Unit 9 Quiz


Chapter 10 Functions and Relations

Unit 10-1 Translations of Graphs

Unit 10-2 Algebra of Functions

Unit 10-3 One-to-One and Inverse Functions

Unit 10 Quiz


Chapter 11 Exponential Logarithmic

Unit 11-1 Exponential Functions

Unit 11-2 Introduction to Logarithms

Unit 11-3 Graphs of Logarithmic Functions

Unit 11-4 Exponential and Logarithmic Equations

Unit 11-5 Applications of Exponential and Logarithmic Functions

Unit 11 Quiz


Chapter 12 Coric Sections

Unit 12-1 The Parabola

Unit 12-2 The Circle

Unit 12-3 The Ellipse and the Hyperbola

Unit 12-4 Solving Nonlinear Systems of Equations

Unit 12-5 Quadratic Inequalities and Systems of Inequalities

Unit 12 Quiz



Geometry Syllabus

Unit 1.1 Sets Statements and Reasons.

Unit 1.2 Informal Geometry and Measurement

Unit 1.3 Definitions and Posulates

Unit 1.4 Angles and Their Relationships

Unit 1.5 Introduction to Geometric Proof

Unit 1.6 Relationships: Perpendicular Lines

Unit 1.7 The Formal Proof of a Theorem

Unit I Quiz


Unit 2.1 The Parallel Postulate and Special Angles

Unit 2.2 Indirect Proof

Unit 2.3 Proving Lines Parallel

Unit 2.4 Angles and Triangles

Unit 2.5 Convex Polygons

Unit 2.6 Symmetry and Transformation

Unit 2 Quiz


Unit 3.1 Congruent Triangles

Unit 3.2 Corresponding Parts of Congruent Triangle

Unit 3.3 Isosceles Triangles

Unit 3.4 Basic Constructions Justified

Unit 3.5 Inequalities in a Triangle

Unit 3 Quiz


Unit 4.1 Properties of Parallelogram

 Unit 4.2 The Parallelogram and Kite

Unit 4.3 The Rectangle, Square, and Rhombus

Unit 4.4 Trapezoid

Unit 4 Quiz


Unit 5.1 Ratios, Rates, and Proportions

Unit 5.2 Similar Polygons

Unit 5.3 Proving Triangles Similar

Unit 5.4 The Pythagorean Theorem

Unit 5.5 Special Right Triangles

Unit 5.6 Segments Divided Proportionally


Unit 5 Study Guide

Unit 5 Quiz


Unit 6.1 Circles and Related Segments and Angles

Unit 6.2 More Angle Measures in the Circles

 Unit 6.3 Line and Segment Relationships in the Circle

Unit 6.4 Some Constructions and Inequalities for the Circle

Unit 6 Quiz


Unit 7.1 Locus of Points

Unit 7.2 Concurrence of Lines

Unit 7.3 More About Regular Polygons

Unit 7 Quiz


Unit 8.1 Aeas and Initial Postulates

Unit 8.2 Perimeter and Area of Polygons

Unit 8.4 Regular Polygons and Areas

Unit 8.5 More Area Relationships in a Circle

Unit 8 Quiz


Unit 9.1 Prisms, Area, and Volume

Unit 9.2 Pyramids, Area, and Volume

Unit 9.3 Cylinders and Cones

Unit 9.4 Polyhedrons and Spheres

Unit 9 Quiz


Unit 10.1 The Rectangular Coordinate System

Unit 10.2 Graphs of Linear Equations and Scope

Unit 10.3 Preparing to Do Analytic Proofs

Unit 10.4 Analytic Proofs

Unit 10.5 Equations of Lines

Unit 10.6 The Three-Demensional Coordinate System

Unit 10 Quiz


Unit 11.1 The Unit Sign Ratio and Applocatins

Unit 11.2 The Cosine Ratio and Applications

Unit 11.3 The Tangent Ratio and Other Ratios

Unit 11.4 Applications with Acute Triangles

Unit 11 Quiz



Trigonometry Syllabus


Chapter 1 The Six Trignonmetric Functions

Section 1.1 Angles, Degrees, and Special Triangles


Section 1.2 The Rectangular Coordinate System


Section 1.3 Definition I: Trigonometric Functions


 Section 1.4 Introduction to Identities


 Section 1.5 More on Identities


Chapter 2 Right Triangle Trigonometry

Section 2.1 Definition II: Right Triangle Trigonometry


Section 2.2 Calculators and Trigonometric Functions of an Acute Angle


Section 2.3 Solving Right Triangles


Section 2.4 Applications


Section 2.5 Vectors: A Geometric Approach


Chapter 3 Radian Measurement

Section 3.1 Reference Angle


Section 3.2 Radians and Degrees


Section 3.3 Definition III: Circular Functions


Section 3.4 Arc Length and Area of a Sector


Section 3.5 Velocities



Chapter 4 Graphing and Inverse Functions

Section 4.1 Basic Graphs


Section 4.2 Amplitude, Reflection, and Period


Section 4.3 Vertical and Horizontal Translations


Section 4.4 The Other Trigonometric Functions


Section 4.5 Finding an Equation from Its Graph


Section 4.6 Graphing Combinations of Functions


Section 4.7 Inverse Trigonometric Functions



Chapter 5 Identities and Formulas

 Section 5.1 Providing Identities


Section 5.2 Sum and Difference Formulas


 Section 5.3 Double-Angle Formulas


 Section 5.4 Half-Angle Formulas


 Section 5.5 Additional Identities



Chapter 6 Equations

Section 6.1 Solving Trigonometric Equations


Section 6.2 More on Trigonometric Equations


Section 6.3 Trigonometric Equations Involving Multiple Angles


Section 6.4 Parametric Equations and Further Graphing


Chapter 7 Triangles

Section 7.1 The Law of  Sines


Section 7.2 The Law of Cosines


Section 7.3 The Ambiguous Case


Section 7.4 The Area of a Triangle


Section 7.5 Vectors: An Algebraic Approach


Section 7.6 Vectors: The Dot Product



Chapter 8 Complex Numbers and Polar Coordinate

Section 8.1 Complex Numbers 


Section 8.2 Trigonometric Form for Complex Numbers 


Section 8.3 Products and Quotients in Trigonometric Form 


Section 8.4 Roots of a Complex Number 


Section 8.5 Polar Coordinates 


Section 8.6 Equations in Polar Coordinates and Their Graphs