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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 3 Word Problems and Equations
Chapter 4 International System of Units
Pre-Algebra
Whole Numbers
Unit 1.1 Place, Value, and Names of Numbers
Unit 1.2.pdf - Addition with Whole Numbers, and Perimeter
Unit 1.3.pdf Rounding Numbers and Estimating Answers
Unit 1.4.pdf Subtracting with Whole Numbers
Unit 1.5.pdf Multiplication with Whole Numbers
Unit 1.6.pdf Division with Whole Numbers
Unit 1.7.pdf Exponents, Order of Operations, and Averages
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 4.7 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
Decimals
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 6.2 Rates and Unit Pricing
Unit 6.4 Applications of Proportions
Pre-Algebra Unit 6 Ratio and Proportion Quiz
Percent
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
Pre-Algebra Unit 7 Percent Quiz
Measurement
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 9.6 Multiplication and Division wtih Scientific Notation
Pre-Algebra Unit 9 Exponents and Polynomials Quiz
Algebra I
Chapter I Real Numbers And Variable Expressions
Unit 1-1 Introduction to Integers
Unit 1-2 Operations with Integers
Unit 1-4 Exponents and the Order of Operations Agreement
Unit 1-6 Translating Variable Expressions into Verbal Expressions
Chapter 2 Solving Equations and Inequalities
Unit 2-1 Introduction to Equations
Unit 2-3 Value Mixture and Uniform Motions Problem
Unit 2-5 Mark Up and Discount Problems
Unit 2-6 Applications: Problems Involving Percents
Unit 2-7 Inequalities in one Variable
Chapter 3 Linear Functions and Inequalities in two Variables
Unit 3-1 The Rectangular Coordinate System
Unit 3-2 Introduction to 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 4-5 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 6-2 Factoring Polynomials of the Form x2+bx+c
Unit 6-3 Factoring Polynomials of the Form ax2+bx+c
Unit 6-5 Factor Polynomials Completely
Unit 6 Quiz
Algebra II
Chapter 7 Rational Expressions
Unit 7-1 Introductions to Rational Functions
Unit 7-2 Operations on Rational Expressions
Unit 7-5 Proportions and Variation
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
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
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 12-3 The Ellipse and the Hyperbola
Unit 12-4 Solving Nonlinear Systems of Equations
Unit 12-5 Quadratic Inequalities and Systems of Inequalities
Geometry
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 2.1 The Parallel Postulate and Special Angles
Unit 2.3 Proving Lines Parallel
Unit 2.6 Symmetry and Transformation
Unit 3.2 Corresponding Parts of Congruent Triangle
Unit 3.4 Basic Constructions Justified
Unit 3.5 Inequalities in a Triangle
Unit 4.1 Properties of Parallelogram
Unit 4.2 The Parallelogram and Kite
Unit 4.3 The Rectangle, Square, and Rhombus
Unit 5.1 Ratios, Rates, and Proportions
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 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 7.3 More About Regular Polygons
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 9.1 Prisms, Area, and Volume
Unit 9.2 Pyramids, Area, and Volume
Unit 9.4 Polyhedrons and Spheres
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 10.6 The Three-Demensional Coordinate System
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
Trigonometry
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
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 2.5 Vectors: A Geometric Approach
Chapter 3
Radian Measurement
Section 3.2 Radians and Degrees
Section 3.3 Definition III: Circular Functions
Section 3.4 Arc Length and Area of a Sector
Chapter 4
Graphing and Inverse Functions
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 5.2 Sum and Difference Formulas
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 7.2 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 8.2 Trigonometric Form for Complex Numbers
Section 8.3 Products and Quotients in Trigonometric Form
Section 8.4 Roots of a Complex Number
Section 8.6 Equations in Polar Coordinates and Their Graphs