Welcome to the Mathematics Classroom
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
Unit 7 Quiz
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 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 12-3 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
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 9.1 Pyramids, Area, and Volume
Unit 9.3 Polyhedrons and Spheres
Unit 10.1 The Cosine Ratio and Applications
Unit 10.1 The Rectangular Coordinate System
Unit 10.1 The Unit Sign Ratio and Applocatins
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 11.3 The Tangent Ratio and Other Ratios
Unit 11.4 Applications with Acute Triangles
Trigonometry
Chapter 1
Unit 1.1 Radian and Degree Measure
Unit 1.2 Trigonometric Functions: The Unit Circle
Unit 1.3 Right Triangle Trigonometry
Unit 1.4 Trigonometric Functions of Any Angle
Unit 1.5 Graphs of Sine and Cosine Functions
Unit 1.6 Graphs and Other Trigonometric Functions
Unit 1.7 Inverse Trigonometric Functions
Unit 1. 8 Applications and Models
Chapter 2 Analytic Trigonometry
Unit 2.1 Using Fundamental Identities
Unit 2.2 Solving Trigonometric Equations
Unit 2.3 Verifying Trigonometric Identities
Unit 2.4 Sum and Difference Formulas
Unit 2.5 Multiple -Angle and Product-to-Sum Formulas
Chapter 3 Additional Topics in Trigonometry
Unit 3.1 Law of Sines
Unit 3.2 Law of Cosines
Unit 3.4 Vectors and Dot Products
Chapter 4 Complex Numbers
Unit 4.1 Complex Numbers
Unit 4.2 Complex Solutions of Equations
Unit 4.3 Trigonometric form of a complex Number
Chapter 5 Exponential and Logarithmic Functions
Unit 5.1 Exponential Functions and Their Graphs
Unit 5.2 Logarithmic Functions and Their Graphs
Unit 5.3 Properties of Logarithms
Unit 5.4 Exponential and Logarithmic Equations
Unit 5.5 Exponential and Logarithmic Models
Chapter 6 Exponential and Logarithmic Equations
Unit 6.2 Introduction to Conics Parabolas
Unit 6.8 Graphs of Polar Equations
Unit 6.9 Polar Equations of Comics