**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