Syllabus
Algebra/Geometry
Course Syllabus
Course Title: Algebra/Geometry
Course Resources: Students are to come to class prepared to learn. Students will walk in grab materials (books, binder, notebooks) and have a seat in their desk.
Course Objective and/or Description:
The purpose is “to enable all of students to acquire the mathematical skills, understandings and attitudes that they will need to be successful in their careers and daily lives.
Expectations:
I have high expectations for this class. I know you all can perform to the best of your ability. I believe success is very important; therefore, I expect this from each student. I look forward to helping you learn as much as you can. As always, I hope to learn as much from you as you learn from me. I look forward to helping you in any way possible this semester.
Text: Mathematical Uses
By: Carter, Cuevas, Day, Malloy, Holliday, Luchin
First Quarter:
Chapter 1: Expressions, Equations, and Functions
- Variables and Expressions
- Order of Operations
- Properties of Numbers
- The Distributive Property
- Representing Relations and Functions
Chapter 2: Linear Equations
- Writing and Solving Equations
- Solving Multi-Step Equations
- Solving Equations with a Variable on Each Side
- Ratios and Proportions
- Percent of Change
Chapter 3: Linear Functions
- Graphing Linear Equations
- Solving Linear Equations by Graphing
- Rate of Change and Slope
- Direct Variation
Second Quarter:
Chapter 4: Linear Functions and Relations
- Graphing and Writing Equations in Slope-Intercept Form
- Writing Equations in Point-Slope Form
- Parallel and Perpendicular Lines
- Special Functions
Chapter 5: Linear Inequalities
- Solving Inequalities by Addition and Subtraction
- Solving Inequalities by Multiplication and Division
- Solving Multi-Step Inequalities
- Solving Compound Inequalities
- Graphing Inequalities in Two Variables
Chapter 6: System of Linear Equations and Inequalities
- Graphing Systems of Equations
- Substitution
- Applying Systems of Linear Equations
- Using Matrices to Solve Systems of Equations
- Systems of Inequalities
Third Quarter:
Chapter 7: Polynomials
- Multiplying and Dividing Monomials
- Scientific Notation
- Adding and Subtracting Polynomials
- Multiplying Polynomials
Chapter 8: Factoring and Quadratic Equations
- Monomials and Factoring
- Using the Distributive Property
- Quadratic Equations
- Quadratic Equations: Differences of Squares, Perfect Squares
Chapter 9: Quadratic and Exponential Functions
- Solving and Graphing Quadratic Equations
- Transformations of Quadratic Functions
- Solving Quadratic Functions by Completing the Square and Using the Quadratic Formula
- Exponential Functions
- Geometric Sequences as Exponential Functions
Fourth Quarter:
Chapter 10: Radical Functions and Geometry
- Square Root Functions
- Simplifying Radical Expressions
- Operations with Radical Expressions
- The Pythagorean Theorem
- The Distance and Midpoint Formulas
Chapter 11: Rational Functions and Equations
- Inverse Variation
- Rational Functions
- Simplifying Rational Expressions
- Multiplying and Dividing Rational Expressions
- Adding and Subtracting Rational Expressions
Chapter 12: Statistics and Probability
- Statistics and Parameters
- Permutations and Combinations
- Probability of Compound Events
- Probability Distributions
- Probability Simulations
