9781565771352

Algebra 1: An Incremental Development Teacher Edition

by
  • ISBN13:

    9781565771352

  • ISBN10:

    1565771354

  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 2003-06-01
  • Publisher: Saxon Pub

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Table of Contents

Preface x
Lesson 1 Addition and Subtraction of Fractions Lines and Segments 1(3)
Lesson 2 Angles Polygons Triangles Quadrilaterals 4(6)
Lesson 3 Perimeter Circumference 10(4)
Lesson 4 Review of Arithmetic 14(9)
Lesson 5 Sets Absolute Value Addition of Signed Numbers 23(6)
Lesson 6 Rules for Addition Adding More Than Two Numbers Inserting Parentheses Mentally Definition of Subtraction 29(5)
Lesson 7 The Opposite of a Number Simplifying More Difficult Notations 34(2)
Lesson 8 Area 36(7)
Lesson 9 Rules for Multiplication of Signed Numbers Inverse Operations Rules for Division of Signed Numbers Summary 43(4)
Lesson 10 Division by Zero Exchange of Factors in Multiplication Conversions of Area 47(4)
Lesson 11 Reciprocal and Multiplicative Inverse Order of Operations Identifying Multiplication and Addition 51(3)
Lesson 12 Symbols of Inclusion Order of Operations 54(3)
Lesson 13 Multiple Symbols of Inclusion More on Order of Operations Products of Signed Numbers 57(6)
Lesson 14 Evaluation of Algebraic Expressions 63
Lesson 15 Surface Area 61(11)
Lesson 16 More Complicated Evaluations 72(2)
Lesson 17 Factors and Coefficients Terms The Distributive Property 74(5)
Lesson 18 Like Terms Addition of Like Terms 79(3)
Lesson 19 Exponents Powers of Negative Numbers Roots Evaluation of Powers 82(4)
Lesson 20 Volume 86(5)
Lesson 21 Product Rule for Exponents Addition of Like Terms with Exponents 91(4)
Lesson 22 Review of Numerical and Algebraic Expressions Statements and Sentences Conditional Equations 95(4)
Lesson 23 Equivalent Equations Additive Property of Equality 99(3)
Lesson 24 Multiplicative Property of Equality 102(4)
Lesson 25 Solution of Equations 106(4)
Lesson 26 More Complicated Equations 110(3)
Lesson 27 More on the Distributive Property Simplifying Decimal Equations 113(3)
Lesson 28 Fractional Parts of Numbers Functional Notation 116(5)
Lesson 29 Negative Exponents Zero Exponents 121(4)
Lesson 30 Algebraic Phrases Decimal Parts of a Number 125(3)
Lesson 31 Equations with Parentheses 128(3)
Lesson 32 Word Problems 131(3)
Lesson 33 Products of Prime Factors Statements About Unequal Quantities 134(4)
Lesson 34 Greatest Common Factor 138(2)
Lesson 35 Factoring the Greatest Common Factor Canceling 140(6)
Lesson 36 Distributive Property of Rational Expressions that Contain Positive Exponents Minus Signs and Negative Exponents 146(3)
Lesson 37 Inequalities Greater Than and Less Than Graphical Solutions of Inequalities 149(4)
Lesson 38 Ratio Problems 153(3)
Lesson 39 Trichotomy Axiom Negated Inequalities Advanced Ratio Problems 156(4)
Lesson 40 Quotient Rule for Exponents Distributive Property of Rational Expressions that Contain Negative Exponents 160(5)
Lesson 41 Addition of Like Terms in Rational Expressions Two-Step Problems 165(3)
Lesson 42 Solving Multivariable Equations 168(3)
Lesson 43 Least Common Multiple Least Common Multiples of Algebraic Expressions 171(5)
Lesson 44 Addition of Rational Expressions with Equal Denominators Addition of Rational Expressions with Unequal Denominators 176(5)
Lesson 45 Range, Median, Mode, and Mean 181(4)
Lesson 46 Conjunctions 185(2)
Lesson 47 Percents Less Than 100 Percents Greater Than 100 187(5)
Lesson 48 Polynomials Degree Addition of Polynomials 192(5)
Lesson 49 Multiplication of Polynomials 197(3)
Lesson 50 Polynomial Equations Ordered Pairs Cartesian Coordinate System 200(5)
Lesson 51 Graphs of Linear Equations Graphs of Vertical and Horizontal Lines 205(6)
Lesson 52 More on Addition of Rational Expressions with Unequal Denominators Overall Average 211(4)
Lesson 53 Power Rule for Exponents Conversions of Volume 215(3)
Lesson 54 Substitution Axiom Simultaneous Equations Solving Simultaneous Equations by Substitution 218(6)
Lesson 55 Complex Fractions Division Rule for Complex Fractions 224(4)
Lesson 56 Finite and Infinite Sets Membership in a Set Rearranging Before Graphing 228(4)
Lesson 57 Addition of Algebraic Expressions with Negative Exponents 232(3)
Lesson 58 Percent Word Problems 235(4)
Lesson 59 Rearranging Before Substitution 239(3)
Lesson 60 Geometric Solids Prisms and Cylinders 242(5)
Lesson 61 Subsets Subsets of the Set of Real Numbers 247(5)
Lesson 62 Square Roots Higher Order Roots Evaluating Using Plus or Minus 252(5)
Lesson 63 Product of Square Roots Rule Repeating Decimals 257(3)
Lesson 64 Domain Additive Property of Inequality 260(4)
Lesson 65 Addition of Radical Expressions Weighted Average 264(4)
Lesson 66 Simplification of Radical Expressions Square Roots of Large Numbers 268(3)
Lesson 67 Review of Equivalent Equations Elimination 271(5)
Lesson 68 More About Complex Fractions 276(4)
Lesson 69 Factoring Trinomials 280(4)
Lesson 70 Probability Designated Order 284(4)
Lesson 71 Trinomials with Common Factors Subscripted Variables 288(4)
Lesson 72 Factors That Are Sums Pyramids and Cones 292(6)
Lesson 73 Factoring the Difference of Two Squares Probability Without Replacement 298(3)
Lesson 74 Scientific Notation 301(4)
Lesson 75 Writing the Equation of a Line Slope-Intercept Method of Graphing 305(8)
Lesson 76 Consecutive Integers 313(3)
Lesson 77 Consecutive Odd and Consecutive Even Integers Fraction and Decimal Word Problems 316(4)
Lesson 78 Rational Equations 320(3)
Lesson 79 Systems of Equations with Subscripted Variables 323(3)
Lesson 80 Operations with Scientific Notation 326(4)
Lesson 81 Graphical Solutions Inconsistent Equations Dependent Equations 330(7)
Lesson 82 Evaluating Functions Domain and Range 337(5)
Lesson 83 Coin Problems 342(3)
Lesson 84 Multiplication of Radicals Functions 345(6)
Lesson 85 Stem-and-Leaf Plots Histograms 351(1)
Lesson 86 Division of Polynomials 351(11)
Lesson 87 More on Systems of Equations Tests for Functions 362(5)
Lesson 88 Quadratic Equations Solution of Quadratic Equations by Factoring 367(4)
Lesson 89 Value Problems 371(3)
Lesson 90 word Problems with Two Statements of Equality 374(4)
Lesson 91 Multiplicative Property of Inequality Spheres 378(5)
Lesson 92 Uniform Motion Problems About Equal Distances 383(5)
Lesson 93 Products of Rational Expressions Quotients of Rational Expressions 388(3)
Lesson 94 Uniform Motion Problems of the Form D1 + D2 = N 391(4)
Lesson 95 Graphs of Non-Linear Functions Recognizing Shapes of Various Non-Linear Functions 395(7)
Lesson 96 Difference of Two Squares Theorem 402(3)
Lesson 97 Angles and Triangles Pythagorean Theorem Pythagorean Triples 405(7)
Lesson 98 Distance Between Two Points Slope Formula 412(6)
Lesson 99 Uniform Motion-Unequal Distances 418(4)
Lesson 100 Place Value Rounding Numbers 422(5)
Lesson 101 Factorable Denominators 427(3)
Lesson 102 Absolute Value Inequalities 430(5)
Lesson 103 More on Rational Equations 435(4)
Lesson 104 Abstract Rational Equations 439(4)
Lesson 105 Factoring by Grouping 443(3)
Lesson 106 Linear Equations Equation of a Line Through Two Points 446(4)
Lesson 107 Line Parallel to a Given Line Equation of a Line with a Given Slope 450(4)
Lesson 108 Square Roots Revisited Radical Equations 454(4)
Lesson 109 Advanced Trinomial Factoring 458(4)
Lesson 110 Vertical Shifts Horizontal Shifts Reflection About the x Axis Combinations of Shifts and Reflections 462(6)
Lesson 111 More on Conjunctions Disjunctions 468(3)
Lesson 112 More on Multiplication of Radical Expressions 471(2)
Lesson 113 Direct Variation Inverse Variation 473(6)
Lesson 114 Exponential Key Exponential Growth Using the Graphing Calculator to Graph Exponential Functions 479(6)
Lesson 115 Linear Inequalities 485(5)
Lesson 116 Quotient Rule for Square Roots 490(3)
Lesson 117 Direct and Inverse Variation Squared 493(3)
Lesson 118 Completing the Square 496(5)
Lesson 119 The Quadratic Formula Use of the Quadratic Formula 501(4)
Lesson 120 Box-and-Whisker Plots 505(6)
Appendix A Properties of the Set of Real Numbers 511(4)
Appendix B Glossary 515(8)
Answers 523(54)
Index 577

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