Saxon Math Algebra 1
Saxon Math Algebra 1 is a comprehensive algebra math textbook. It is typically used after the completion of either Saxon Math 8/7 or Saxon Math Algebra 1/2. Saxon Math uses a spiral approach, employing incremental development of new math concepts and continuous review of previous concepts. This book consists of 120 lessons covering topics such as including signed numbers, exponents, and roots; absolute value; equations and inequalities; scientific notation; unit conversions; polynomials; graphs; factoring; quadratic equations; direct and inverse variations; exponential growth; statistics; probability, and more (see table of contents below).
Each lesson includes practice exercises and problem sets, along with cumulative reviews to ensure students have a firm understanding of previously covered material. The book provides ample opportunities for students to develop their problem-solving skills and critical thinking abilities, making it a valuable resource for both teachers and students. Overall, the book aims to prepare students for high school algebra 2 courses.
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Table of Contents
| Lesson 1 - Addition and Subtraction of Fractions - Lines and Segments |
| Lesson 2 - Angles - Polygons - Triangles - Quadrilaterals |
| Lesson 3 - Perimeter - Circumference |
| Lesson 4 - Review of Arithmetic |
| Lesson 5 - Sets - Absolute Value - Addition of Signed Numbers |
| Lesson 6 - Addition - Adding More Than Two Numbers - Inserting Parentheses - Subtraction |
| Lesson 7 - The Opposite of a Number - Simplifying More Difficult Notations |
| Lesson 8 - Area |
| Lesson 9 - Multiplication of Signed Numbers - Inverse Operations - Division of Signed Numbers |
| Lesson 10 - Division by Zero - Exchange of Factors in Multiplication - Conversions of Area |
| Lesson 11 - Reciprocal and Multiplicative Inverse - Order of Operations - Identifying Multiplication and Addition |
| Lesson 12 - Symbols of Inclusion - Order of Operations |
| Lesson 13 - Multiple Symbols of Inclusion - More on Order of Operations - Products of Signed Numbers |
| Lesson 14 - Evaluation of Algebraic Expressions |
| Lesson 15 - Surface Area |
| Lesson 16 - More Complicated Evaluations |
| Lesson 17 - Factors and Coefficients - Terms - The Distributive Property |
| Lesson 18 - Like Terms - Addition of Like Terms |
| Lesson 19 - Exponents - Powers of Negative Numbers - Roots - Evaluation of Powers |
| Lesson 20 - Volume |
| Lesson 21 - Product Rule for Exponents - Addition of Like Terms with Exponents |
| Lesson 22 - Review of Numerical and Algebraic Expressions - Statements and Sentences - Conditional Equations |
| Lesson 23 - Equivalent Equations - Additive Property of Equality |
| Lesson 24 - Multiplicative Property of Equality |
| Lesson 25 - Solution of Equations |
| Lesson 26 - More Complicated Equations |
| Lesson 27 - More on the Distributive Property - Simplifying Decimal Equations |
| Lesson 28 - Fractional Parts of Numbers - Functional Notation |
| Lesson 29 - Negative Exponents - Zero Exponents |
| Lesson 30 - Algebraic Phrases - Decimal Parts of a Number |
| Lesson 31 - Equations with Parentheses |
| Lesson 32 - Word Problems |
| Lesson 33 - Products of Prime Factors - Statements About Unequal Quantities |
| Lesson 34 - Greatest Common Factor |
| Lesson 35 - Factoring the GCF - Canceling |
| Lesson 36 - Distributive Property of Rational Expressions - Minus Signs and Negative Exponents |
| Lesson 37 - Inequalities - Greater Than and Less Than - Graphical Solutions of Inequalities |
| Lesson 38 - Ratio Problems |
| Lesson 39 - Trichotomy Axiom - Negated Inequalities - Advanced Ratio Problems |
| Lesson 40 - Quotient Rule for Exponents - Distributive Property of Rational Expressions |
| Lesson 41 - Addition of Like Terms in Rational Expressions - Two-Step Problems |
| Lesson 42 - Solving Multivariable Equations |
| Lesson 43 - Least Common Multiple - Least Common Multiples of Algebraic Expressions |
| Lesson 44 - Addition of Rational Expressions |
| Lesson 45 - Range, Median, Mode, and Mean |
| Lesson 46 - Conjunctions |
| Lesson 47 - Percents Less Than 100 - Percents Greater Than 100 |
| Lesson 48 - Polynomials - Degree - Addition of Polynomials |
| Lesson 49 - Multiplication of Polynomials |
| Lesson 50 - Polynomial Equations - Ordered Pairs - Cartesian Coordinate System |
| Lesson 51 - Graphs of Linear Equations - Graphs of Vertical and Horizontal Lines |
| Lesson 52 - Addition of Rational Expressions with Unequal Denominators - Overall Average |
| Lesson 53 - Power Rule for Exponents - Conversions of Volume |
| Lesson 54 - Substitution Axiom - Simultaneous Equations - Solving Simultaneous Equations by Substitution |
| Lesson 55 - Complex Fractions - Division Rule for Complex Fractions |
| Lesson 56 - Finite and Infinite Sets - Membership in a Set - Rearranging Before Graphing |
| Lesson 57 - Addition of Algebraic Expressions with Negative Exponents |
| Lesson 58 - Percent Word Problems |
| Lesson 59 - Rearranging Before Substitution |
| Lesson 60 - Geometric Solids - Prisms and Cylinders |
| Lesson 61 - Subsets - Subsets of the Set of Real Numbers |
| Lesson 62 - Square Roots - Higher Order Roots - Evaluating Using Plus or Minus |
| Lesson 63 - Product of Square Roots Rule - Repeating Decimals |
| Lesson 64 - Domain - Additive Property of Inequality |
| Lesson 65 - Addition of Radical Expressions - Weighted Average |
| Lesson 66 - Simplification of Radical Expressions - Square Roots of Large Numbers |
| Lesson 67 - Review of Equivalent Equations - Elimination |
| Lesson 68 - More About Complex Fractions |
| Lesson 69 - Factoring Trinomials |
| Lesson 70 - Probability - Designated Order |
| Lesson 71 - Trinomials with Common Factors - Subscripted Variables |
| Lesson 72 - Factors That Are Sums - Pyramids and Cones |
| Lesson 73 - Factoring the Difference of Two Squares - Probability Without Replacement |
| Lesson 74 - Scientific Notation |
| Lesson 75 - Writing the Equation of a Line - Slope-Intercept Method of Graphing |
| Lesson 76 - Consecutive Integers |
| Lesson 77 - Consecutive Odd and Even Integers - Fraction and Decimal Word Problems |
| Lesson 78 - Rational Equations |
| Lesson 79 - Systems of Equations with Subscripted Variables |
| Lesson 80 - Operations with Scientific Notation |
| Lesson 81 - Graphical Solutions - Inconsistent Equations - Dependent Equations |
| Lesson 82 - Evaluating Functions - Domain and Range |
| Lesson 83 - Coin Problems |
| Lesson 84 - Multiplication of Radicals - Functions |
| Lesson 85 - Stem-and-Leaf Plots - Histograms |
| Lesson 86 - Division of Polynomials |
| Lesson 87 - More on Systems of Equations - Tests for Functions |
| Lesson 88 - Quadratic Equations - Solution of Quadratic Equations by Factoring |
| Lesson 89 - Value Problems |
| Lesson 90 - Word Problems with Two Statements of Equality |
| Lesson 91 - Multiplicative Property of Inequality - Spheres |
| Lesson 92 - Uniform Motion Problems About Equal Distances |
| Lesson 93 - Products of Rational Expressions - Quotients of Rational Expressions |
| Lesson 94 - Uniform Motion Problems |
| Lesson 95 - Graphs of Non-Linear Functions - Recognizing Shapes of Various Non-Linear Functions |
| Lesson 96 - Difference of Two Squares Theorem |
| Lesson 97 - Angles and Triangles - Pythagorean Theorem - Pythagorean Triples |
| Lesson 98 - Distance Between Two Points - Slope Formula |
| Lesson 99 - Uniform Motion - Unequal Distances |
| Lesson 100 - Place Value - Rounding Numbers |
| Lesson 101 - Factorable Denominators |
| Lesson 102 - Absolute Value Inequalities |
| Lesson 103 - More on Rational Equations |
| Lesson 104 - Abstract Rational Equations |
| Lesson 105 - Factoring by Grouping |
| Lesson 106 - Linear Equations - Equation of a Line Through Two Points |
| Lesson 107 - Line Parallel to a Given Line - Equation of a Line with a Given Slope |
| Lesson 108 - Square Roots Revisited - Radical Equations |
| Lesson 109 - Advanced Trinomial Factoring |
| Lesson 110 - Vertical Shifts - Horizontal Shifts - Reflection About the x Axis - Combinations of Shifts and Reflections |
| Lesson 111 - More on Conjunctions - Disjunctions |
| Lesson 112 - More on Multiplication of Radical Expressions |
| Lesson 113 - Direct and Inverse Variation |
| Lesson 114 - Exponential Key - Exponential Growth - Using the Graphing Calculato |
| Lesson 115 - Linear Inequalities |
| Lesson 116 - Quotient Rule for Square Roots |
| Lesson 117 - Direct and Inverse Variation Squared |
| Lesson 118 - Completing the Square |
| Lesson 119 - The Quadratic Formula - Use of the Quadratic Formula |
| Lesson 120 - Box-and-Whisker Plots |
Corrections/Errata
Corrections and errata for this book can be found here.