GENERAL COURSE OUTLINE
Miss Bradford
Honors Algebra I

 FIRST QUARTER

 SECOND QUARTER

 THIRD QUARTER

FOURTH QUARTER

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DEPARTMENT : Mathematics COURSE: Honors Algebra I

TEXT BOOK : Algebra: Structure and Method, Book 1 Houghton Mifflin. (2000 ed.)

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First Quarter
Chapter 1 Introduction to Algebra

  • 1.1 Variables p.1
  • 1.2 Grouping symbols p. 6
  • 1.3 Equations p. 10
  • 1.4 Translating Words into Symbols p.14
  • 1.5 Translating sentences into Equations p. 19
  • 1.6 Translating Problems into equations p.23
  • 1.7 A Problem Solving Plan p. 27
  • 1.8 Opposites and Absolute Value p. 36
 

 

Chapter 2 Working With Real Numbers ( I have done this chapter as an in class independent study exercise.)

  • 2.1 Basic Assumptions p.45
  • 2.2 Addition on the Number Line p.49
  • 2.3 Rules for Addition p. 54
  • 2.4 Subtracting Real Numbers p. 59
  • 2.5 The Distributive Property p. 65
  • 2.6 Rules for Multiplication p. 70
  • 2.7 Problem Solving: Consecutive Integers p. 75
  • 2.8 The Reciprocal of a Real Number p. 79
  • 2.9 Dividing Real Numbers p. 83
 

 

Chapter 3 Solving Equations and Problems

  • 3.1 Transforming Equations : Addition and Subtraction p. 95
  • 3.2 Transforming Equations : Multiplication and Division p. 102
  • 3.3 Using Several Transformations p. 107
  • 3.4 Using Equations to Solve Problems p. 112
  • 3.5 Equations with the variable on Both Sides p. 116
  • 3.6 Problem Solving Using Charts p. 126 ( sometimes given as independent study)
  • 3.7 Cost, Income, and value Problems p.126
  • 3.8 Proof in Algebra p. 130
 

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SECOND QUARTER

Chapter 4 Polynomials

  • 4.1 Exponents p.141
  • 4.2 Adding and Subtracting Polynomials p. 146
  • 4.3 Multiplying Monomials p.152
  • 4.4 Powers of Monomials p. 152
  • 4.5 Multiplying Polynomials by Monomials p. 158
  • 4.6 Multiplying Polynomials p. 161
  • 4.7 Transforming Formulas p. 165
  • 4.8 Rate-Time-Distance Problems p.167
  • 4.9 Area Problems p. 172
  • 4.10 Problems Without Solutions p. 175

 

Chapter 5 Factoring Polynomials

  • 5.1 Factoring Integers p. 185
  • 5.2 Dividing Monomials p.189
  • 5.3 monomial Factors of Polynomials p. 194
  • 5.4 Multiplying Binomials Mentally p. 200
  • 5.5 Difference of Two Squares p. 204
  • 5.6 Squares of Binomials p. 208
  • 5.7 Factoring Pattern for x² + bx + c, c positive p. 213
  • 5.8 Factoring Pattern for x² + bx + c, c negative p. 217
  • 5.9 Factoring pattern for ax² + bx + c p. 220
  • 5.10 Factoring by Grouping p. 224
  • 5.11 Using Several Methods of Factoring p. 227
  • 5.12 Solving Equations by Factoring p. 230
  • 5.13 Using Factoring to Solve Problems p. 234
 

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THIRD QUARTER

Chapter 6 Fractions

  • 6.1 Simplifying Fractions p. 247
  • 6.2 Multiplying Fractions p. 251
  • 6.3 Dividing Fractions p. 255
  • 6.4 Least Common Denominators p. 259
  • 6.5 Adding and Subtracting Fractions p. 264
  • 6.6 Mixed Expressions p. 270
  • 6.7 Polynomial Long Division p. 274
 

 

Chapter 7 Applying Fractions

  • 7.1 Ratios p. 287
  • 7.2 Proportions p. 293
  • 7.3 Equations with Fractional Coefficients p. 298
  • 7.4 Fractional Equations p. 304
  • 7.5 Percents p. 309
  • 7.6 Percent Problems p. 315
  • 7.7 Mixture Problems p. 321
  • 7.8 Work Problems p. 326
  • 7.9 Negative Exponents p. 331
  • 7.10 Scientific Notation p. 336
 

Chapter 8 Introduction to Functions

  • 8.1 Equations in Two Variables p. 349
  • 8.2 Points, Lines, and Their Graphs p. 353
  • 8.3 Slope of a Line p. 360
 

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FOURTH QUARTER

Chapter 8 Introduction to Functions

  • 8.4 The Slope-Intercept Form of a Linear Equation p. 366
  • 8.5 Determining an Equation of a Line p. 371
  • 8.6 Functions determined by Tables and Graphs p. 374
  • 8.7 Functions Defined By Equations p. 379
  • 8.8 Linear and Quadratic Functions p. 383
  • 8.9 Direct Variation p. 391
  • 8.10 Inverse Variation p. 397
 

Chapter 11 Rational and Irrational Numbers (Sometimes done as an independent study exercise in class)

  • 11.1 Properties of rational Numbers p. 507
  • 11.2 Decimal Forms of rational Numbers p. 512
  • 11.3 Rational Square Root p. 517
  • 11.4 Irrational Square roots p. 521
  • 11.5 Square Root of Variable Expressions p. 525
  • 11.6 The Pythagorean Theorem p. 529 (sometimes skipped)
  • 11.7 Multiplying, Dividing, and Simplifying Radicals p. 537
  • 11.8 Adding and Subtracting Radicals p. 540
  • 11.9 Multiplying of Binomials containing Radicals p. 544
  • 11.10 Simple Radical equations p. 547
 

 

Chapter 9 Systems of Linear Equations

  • 9.1 The Graphing Method p. 413
  • 9.2 The Substitution Method p. 417
  • 9.3 Solving Problems with Two Variables p. 421
  • 9.4 The Addition-or-Subtraction Method p.426
  • 9.5 Multiplication with the Addition-or-Subtraction Method p. 430
  • 9.6 Wind and Water Current Problems p. 438
  • 9.7 Puzzle Problems p. 444 (sometimes skipped)
 

 

Chapter 10 Inequalities

  • 10.1 Order of Real Numbers p. 457
  • 10.2 SolvingIinequalities p. 462
  • 10.3 Solving Problems Involving Inequalities p. 469
  • 10.4 Solving Combined Inequalities p. 478
  • 10.5 Absolute Value in Open Sentences p. 482 (time permitted)
  • 10.6 Absolute Values of products in Open sentences p. 486 (time permitted)
  • 10.7 Graphing linear Inequalities p. 490 (time permitted)
  • 10.8 Systems of inequalites p. 495 (time permitted)

Chapter 12 Quadratic Functions - Time permitting

Please note : timing of where each quarter ends will vary with school schedule.Chapter 10 will usually be covered in part or all

 

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