Algebra I Syllabus

Angel Website:  http://pcps.myelearning.org/frameIndex.htm
Angela Schmit's Website:  http://manila.esu4.org/angelaschmit/

Course Syllabus

Description of Course

Prerequisites

• Math 7 and/or Math 8 or Pre-Algebra

The Objectives of the Course

• Understand and realize the value of the symbolism of algebra language.
• Use the language of algebra as a natural way of expressing mathematical ideas.
• Help students become independent thinkerd using various learning strategies.
• Learn through "trial and error" and realize that real learning takes place through asking questions, trying guesses, starting down false paths, and trying new methods of approach to algebraic problems.
• Learn problem solving strategies that can help with algebra, as well as other academic courses.
• Appreciate the power of mathematics and see the connections mathematics has with other subject areas, as well as everyday and career applications.
• Improve students' thinking skills, use them more effectively, and acquire additional skills.

Texts

Explanation of Instruction

• Lecture and discussion every day.
• Quizzes every two or three lessons.
• Tests after every unit.
• Spelling/Writing assignments as needed.
• Angel Website--On-Line Learning
  

Visual Aids, Utilized Films, Film Strips, Etc.

• Marker board
• Calculators (Texas Instruments--TI 83, TI 85, and TI 92) provided by the school district
• Computer Software/Technology
• Supplementary Workbooks

Units and Contents

Chapter 1:  Introdution to Algebra

• Variables
• Grouping Symbols
• Equations
• Translating Words into Symbols
• Translating Sentences into Equations
• Translating Problems into Equations
• A Problem Solving Plan
• Number Lines
• Opposites and Absolute Value

Chapter 2:  Working with Real Numbers

• Basic Assumptions
• Addition on a Number Line
• Rules for Addition
• Subtracting Real Numbers
• The Distributive Property
• Rules for Multiplication
• Problem Solving:  Consecutive Integers
• The Reciprocal of a Real Number
• Dividing Real Numbers

Chapter 3:  Solving Equations and Problems

• Transforming Equations: Addition and Subtraction
• Transforming Equations: Multiplication and Division
• Using Several Transformations
• Using Equations to Solve Problems
• Equations with the Variable on Both Sides
• Problem Solving: Using Charts
• Cost, Income, and Value Problems
• Proof in Algebra

Chapter 4:  Polynomials

• Exponents
• Adding and Subtracting Polynomials
• Multiplying Monomials
• Powers of Monomials
• Multiplying Polynomials by Monomials
• Multiplying Polynomials
• Transforming Formulas
• Rate-Time-Distance Problems
• Area Problems
• Problems Without Solutions

Chapter 5:  Factoring Polynomials

• Factoring Integers
• Dividing Monomials
• Monomial Factors of Polynomials
• Multiplying Binomials Mentally
• Differences of Two Squares
• Squares of Binomials
• Factoring Pattern for ax^2 + bx + c, c positive
• Factoring Pattern for ax^2 + bx + c, c negative
• Factoring Pattern for ax^2 + bx + c
• Factoring by Grouping
• Using Several Methods of Factoring
• Solving Equations by Factoring
• Using Factoring to Solve Problems

Chapter 6:  Fractions

• Simplifying Fractions
• Multiplying Fractions
• Dividing Fractions
• Least Common Denominators
• Adding and Subtracting Fractions
• Mixed Expressions
• Polynomial Long Division

Chapter 7:  Applying Fractions

• Ratios
• Proportions
• Equations with Fractional Coefficients
• Fractional Equations
• Percents
• Percent Problems
• Mixture Problems
• Work Problems
• Negative Exponents
• Scientific Notation

Chapter 8:  Introduction to Functions

• Equations in Two Variables
• Points, Lines, and Their Graphs
• Slope of a Line
• The Slope-Intercept Form of a Linear Equation
• Determining an Equation of a Line
• Functions Defined by Tables and Graphs
• Functions Defined by Equations
• Linear and Quadratic Functions
• Direct Variation
• Inverse Variation

Chapter 9:  Systems of Linear Equations

• The Graphing Method
• The Substitution Method
• Solving Problems with Two Variables
• The Addition-or-Subtraction Method
• Multiplication with the Addition-or-Subtraction Method
• Wind and Water Current Problems
• Puzzle Problems

Chapter 10:  Inequalities

• Order of Real Numbers
• Solving Inequalities
• Solving Problems Involving Inequalities
• Solving Combined Inequalities
• Absolute Value in Open Sentences
• Absolute Value of Products in Open Sentences
• Graphing Linear Inequalities
• Systems of Linear Inequalities

Chapter 11:  Rational and Irrational Numbers

• Properties of Rational Numbers
• Decimal Forms of Rationa Numbers
• Rational Square Roots
• Irrational Square Roots
• Square Roots of Variable Expressions
• The Pythagorean Theorem
• Multiplying, Dividing, and Simplifying Radicals
• Adding and Subtracting Radicals
• Multiplication of Binomials Containing Radicals
• Simple Radical Equations

Chapter 12:  Quadratic Functions

• Quadratic Equations with Perfect Squares
• Completing the Square
• The Quadratic Formula
• Graphs of Quadratic Equations; The Discriminant
• Methods of Solution
• Solving Problems Involving Quadratic Equations
• Direct and Inverse Variation Involving Squares
• Joint and Combined Variation

This Page was last update: Tuesday, May 15, 2007 at 11:05:18 AM
This page was originally posted: 5/31/2006; 5:36:47 PM.
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