Welcome to the Mathematics Classroom 


 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

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 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 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 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 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 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 7.1 Locus of Points

Unit 7.2 Concurrence of Lines

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 9.2 Cylinders and Cones

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 10.4 Analytic Proofs

Unit 10.5 Equations of Lines

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 Syllabus

Chapter 1

Unit 1.1 Radian and Degree Measure

Unit 1.1 Quiz

Unit 1.2 Trigonometric Functions: The Unit Circle

Unit 1.2 Quiz

Unit 1.3 Right Triangle Trigonometry

Unit 1.3 Quiz

Unit 1.4 Trigonometric Functions of Any Angle

Unit 1.4 Quiz

Unit 1.5 Graphs of Sine and Cosine Functions

Unit 1.5 Quiz

Unit 1.6 Graphs and Other Trigonometric Functions

Unit 1.6 Quiz

Unit 1.7 Inverse Trigonometric Functions

Unit 1.7 Quiz

Unit 1. 8 Applications and Models

Unit 1.8 Quiz


Chapter 2 Analytic Trigonometry

Unit 2.1 Using Fundamental Identities

Unit 2.1 Quiz

Unit 2.2 Solving Trigonometric Equations

Unit 2.2 Quiz

Unit 2.3 Verifying Trigonometric Identities

Unit 2.3 Quiz

Unit 2.4 Sum and Difference Formulas

Unit  2.4 Quiz

Unit 2.5 Multiple -Angle and  Product-to-Sum Formulas

Unit 2.5 Quiz


Chapter 3 Additional Topics in Trigonometry

Unit 3.1 Law of Sines

Unit 3.1 Quiz

Unit 3.2 Law of Cosines

Unit 3.2 Quiz

Unit 3.3 Vectors in the Plane

Unit 3.3 Quiz

Unit 3.4 Vectors and Dot Products

Unit 3.4 Quiz


Chapter 4 Complex Numbers

Unit 4.1 Complex Numbers

Unit 4.1 Quiz

Unit 4.2 Complex Solutions of Equations

Unit 4.2 Quiz

Unit 4.3 Trigonometric form of a complex Number

Unit 4.3 Quiz

Unit 4.4 DeMoivre's Theorem

Unit 4.4 Quiz


Chapter 5 Exponential and Logarithmic Functions

Unit 5.1 Exponential Functions and Their Graphs

Unit 5.1 Quiz

Unit 5.2 Logarithmic Functions and Their Graphs

Unit 5.2 Quiz

Unit 5.3 Properties of Logarithms

Unit 5.3 Quiz

Unit 5.4 Exponential and Logarithmic Equations

Unit 5.4 Quiz

Unit 5.5 Exponential and Logarithmic Models

Unit 5.5 Quiz


Chapter 6 Exponential and Logarithmic Equations

Unit 6.1 Lines

Unit 6.1 Quiz

Unit 6.2 Introduction to Conics Parabolas

Unit 6.2 Quiz

Unit 6.3 Ellipses

Unit 6.3 Quiz

Unit 6.4 Hyoerbikas

Unit 6.4 Quiz

Unit 6.5 Rotation of Conics

Unit 6.5 Quiz

Unit 6.6 Parametric Equations

Unit 6.6 Quiz

Unit 6.7 Polar Coordinates

Unit 6.7 Quiz

Unit 6.8 Graphs of Polar Equations

Unit 6.8 Quiz

Unit 6.9 Polar Equations of Comics

Unit 6.9 Quiz