Algebra I

Course Syllabus 2011-2012

**Instructor: Jeff Garmon **

**Room #: 209**

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__Course Description:__

Algebra I is a math course that counts towards graduation and your math requirements. This course will tentatively include the following topics: real number properties, solving, graphing, and writing linear equations & functions, solving & graphing linear inequalities, systems of equations & inequalities, exponents & exponential functions, quadratic equations/functions, polynomials and factoring, rational expressions and equations, applications of radicals with geometry.

__Course Objectives: __

Ø Use the distributive property to multiply polynomials.

Ø Know how to compose and decompose functions and how to find inverses of basic functions.

Ø Simplify and perform basic operations on rational expressions, including finding common denominators.

Ø Understand exponents, roots and their properties.

Ø Know basic theorems of exponents and roots.

Ø Solve linear equations and absolute value equations.

Ø Solve linear inequalities and absolute value inequalities.

Ø Solve systems of linear equations and inequalities using algebraic and graphical methods.

Ø Solve quadratic equations using various methods.

Ø Know when it is possible to simplify, solve, substitute or evaluate equations and expressions.

Ø Understand the algebraic language and notation for functions.

__Supplemental Materials__

Students must supply:

· Pencils

· 3-ring binder: a 1-inch (or larger) it will be used for my class only.

· Paper

· TI-84 Plus or TI-84 Silver Edition graphing calculators are recommended after unit two.

**BINDERS: ** The binder must include notes, quizzes, tests, and any handouts. Binders will be checked at unannounced times. If your binder is not in class a grade of zero will be assigned for that check.

__Grading Policy__

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**GRADING POLICY: Nine-weeks grades will ****be** **based on the percentage of your total points compared to the total possible.**

A – 90% and up B – 80%-89% C – 70%-79%

D - 60%-69% F - 59% and below

Quiz and Test Retakes are available outside of normal class hours. Arrangements must be made with teacher for retakes.

Grades will be broken down as follows per grading period:

10% Bellringers/Homework

35% Quizzes

55% Tests

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__Expectations for Class/ Student Responsibilities__

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**MAKE-UP PROCEDURE: **Make-up work is the responsibility of the student and must be completed according to school policy.

**"PROOF": **Proof is the work that must accompany a given solution. Grades on homework and evaluations are based on the "Proof' shown. Showing no work will result in no credit.

Even problems completed on a calculator must show the key sequence used in order to receive credit.

**CLASSROOM RULES: **

- Be RESPECTFUL! This applies to all faculty, all students, and all school rules.

**EXTRA HELP: **Extra help will be available by appointment. Times generally are before & after school.

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**Course Outline: **

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**Unit 1: Foundations For Algebra**

· Variables and Expressions

· Order of Operations and Evaluating Expressions

· Real Numbers and the Number Line

· Properties of Real Numbers

· Adding and Subtracting Real Numbers

· Multiplying and Dividing Real Numbers

· The Distributive Property

**Unit 2: Solving Equations**

· Solving One-Step Equations

· Solving Two-Step Equations

· Solving Multi-Step Equations

· Solving Equations with Variables on Both Sides

· Literal Equations and Formulas

· Ratios, Rates, and Conversions

· Solving Proportions

· Proportions and Similar Figures

· Percents

· Change Expressed as a Percent

**Unit 3: Solving Inequalities**

· Inequalities and Their Graphs

· Solving Inequalities Using Addition or Subtraction

· Solving Inequalities Using Multiplication or Division

· Solving Multi-Step Inequalities

· Working with Sets

· Compound Inequalities

· Absolute Value Equations and Inequalities

· Unions and Intersections of Sets

**Unit 4: An Introduction to Functions**

· Using Graphs to Relate Two Quantities

· Patterns and Linear Functions

· Patterns and Nonlinear Functions

· Graphing a Function Rule

· Writing a Function Rule

· Formalizing Relations and Functions

· Sequences and Functions

**Unit 5: Linear Functions**

· Rate of Change and Slope

· Direct Variation

· Slope-Intercept Form

· Point-Slope Form

· Standard Form

· Parallel and Perpendicular Lines

· Scatterplot and Trend Lines

· Graphing Absolute Value Functions

**Unit 6: Systems of Equations and Inequalities**

· Solving Systems by Graphing

· Solving Systems Using Substitution

· Solving Systems Using Elimination

· Applications of Linear Systems

· Linear Inequalities

· Systems of Linear Inequalities

**Unit 7: Exponents and Exponential Functions**

· Zero and Negative Exponents

· Scientific Notation

· Multiplying Powers With the Same Base

· More Multiplication Properties of Exponents

· Division Properties of Exponents

· Exponential Functions

· Exponential Growth and Decay

**Unit 8: Polynomials and Factoring**

· Adding and Subtracting Polynomials

· Multiplying and Factoring

· Multiplying Binomials

· Multiplying Special Cases

· Factoring x^2 + bx + c

· Factoring ax^2 + bx + c

· Factoring Special Cases

· Factoring by Grouping

**Unit 9: Quadratic Functions and Equations**

· Quadratic Graphs and Their Properties

· Quadratic Functions

· Solving Quadratic Equations

· Factoring to Solve Quadratic Equations

· Completing the Square

· The Quadratic Formula and the Discriminant

· Linear, Quadratic, and Exponential Models

· Systems of Linear and Quadratic Equations

**Unit 10: Radical Expressions and Equations**

· Pythagorean Theorem

· Simplifying Radicals

· Operations With Radical Expressions

· Solving Radical Equations

· Graphing Square Root Functions

· Trigonometric Ratios

**Unit 11: Rational Expressions and Functions**

· Simplifying Rational Expressions

· Multiplying and Dividing Rational Expressions

· Dividing Polynomials

· Adding and Subtracting Rational Expressions

· Solving Rational Equations

· Inverse Variation

· Graphing Rational Functions

**Unit 12: Probability and Statistics**

· Organizing Data Using Matrices

· Frequency and Histograms

· Measures of Central Tendency and Dispersion

· Box and Whisker Plots

· Samples and Surveys

· Permutations and Combinations

· Theoretical and Experimental Probability

· Probability of Compound Events