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Algebra I Syllabus

Angel Website: http://pcps.myelearning.org/frameIndex.htm
Angela Schmit's Website: http://manila.esu4.org/angelaschmit/
Course Syllabus
Instructor: Angela Schmit Pawnee City High School Phone: (402) 852-2988 email: aschmit@esu6.org Planning Hour: 2nd period
Description of CourseThis course introduces problem solving
early and integrates it thoughout the academic year. Applications
of algebra are presented using interesting and varied word
problems. Students will develop and use various reasoning skills
and apply them to real-world problems. Students will use algebra
as a means of expressing their mathematical ideas and concepts.
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.
TextsTitle: Algebra: Structure and Method, Book 1 Author: Brown, Dolciani, Sorgenfrey, and Cole Publisher: McDougall Littell Date: 2000
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.
Copyright 2008 Pawnee City Schools
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