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Mathematics- Tutorial Program

Basic Mathematics

This is a remedial course that includes the essentials of mathematics. It is a very basic and preparatory course covering calucations to strengthen the student's knowledge and skills in preparation for more advance levels of mathematics.

Chapter 2 Decimals

Chapter 3 Word Problems and Equations

Chapter 4 International System of Units

Chapter 5 Percents

Chapter 6 Commissions

Chapter 7 Discounts

Chapter 8 Markup

Quiz Chapters 6-8

Pre-Algebra

Whole Numbers

Introduction to Algebra

Fractions and Mixed Numbers

Solving Equations

Decimals

Ratio and Proportion

Percent

Measurement

Exponents and Polynomials

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 5-2 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

Chapter 8 Rational Exponents

Unit 8-1 Rational Exponents and Radical Expressions

Unit 8-2 Operations and Radical Expressions

Unit 8-4 Solving Equations Containing Radical Expressions

Unit 8-5 Complex Numbers

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

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

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

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

Geometry

Geometry Syllabus

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 4.4 Trapezoid

Unit 4 Quiz

Trigonometry

Trigonometry Syllabus

Chapter 1 The Six Trignonmetric Functions

Chapter 2 Right Triangle Trigonometry

Chapter 4 Graphing and Inverse Functions

Chapter 5 Identities and Formulas

Chapter 6 Equations

Chapter 7 Triangles

Chapter 8 Complex Numbers and Polar Coordinate

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