3rd edition

Buy BookSaxon Math Algebra 1/2 is a comprehensive pre-algebra math textbook that also serves as an introduction to geometry and discrete mathematics. It is typically used after the completion of either Saxon Math 7/6 or Saxon Math 8/7. Saxon Math uses a spiral approach, employing incremental development of new math concepts and continuous review of previous concepts. This book consists of 123 lessons covering topics such as fractions and decimals, order of operations, prime and composite numbers, exponents, square roots, ratios, coordinates, algebraic phrases, 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 courses.

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Lesson 1 - Whole Number Place Value - Expanded Notation - Reading and Writing Whole Numbers - Addition |

Lesson 2 - The Number Line and Ordering - Rounding Whole Numbers |

Lesson 3 - Subtraction - Addition and Subtraction Patterns |

Lesson 4 - Multiplication - Division - Multiplication and Division Patterns |

Lesson 5 - Addition and Subtraction Word Problems |

Lesson 6 - Reading, Writing, Adding, Subtracting, and Rounding Decimal Numbers |

Lesson 7 - Multiplying and Dividing Decimal Numbers - Estimation |

Lesson 8 - Multiplying and Dividing by Powers of 10 - Ordering Decimal Numbers |

Lesson 9 - Points, Lines, Rays, and Line Segments - Angles - Perimeter |

Lesson 10 - Divisibility |

Lesson 11 - Word Problems about Equal Groups |

Lesson 12 - Prime Numbers and Composite Numbers - Products of Prime Numbers |

Lesson 13 - Common Factors and the Greatest Common Factor - Multiplication Word Problems |

Lesson 14 - Fractions - Expanding and Reducing Fractions |

Lesson 15 - Fractions and Decimals - Fractions to Decimals - Rounding Repeaters - Decimals to Fractions |

Lesson 16 - Exponents |

Lesson 17 - Area of Rectangles |

Lesson 18 - Multiplying Fractions and Whole Numbers - Fractional Part of a Number |

Lesson 19 - Symbols for Multiplication - Multiplying Fractions - Dividing Fractions |

Lesson 20 - Multiples - Least Common Multiple |

Lesson 21 - Average |

Lesson 22 - Multiple Fractional Factors |

Lesson 23 - US Customary System - Unit Multipliers |

Lesson 24 - Metric System |

Lesson 25 - Area as Difference |

Lesson 26 - Mode, Median, Mean, and Range - Average in Word Problems |

Lesson 27 - Areas of Triangles |

Lesson 28 - Improper Fractions, Mixed Numbers, and Decimal Numbers |

Lesson 29 - Graphs |

Lesson 30 - Adding and Subtracting Fractions |

Lesson 31 - Order of Operations |

Lesson 32 - Variables and Evaluation |

Lesson 33 - Multiple Unit Multipliers - Converting Units of Area |

Lesson 34 - Adding Mixed Numbers - Rate |

Lesson 35 - Subtracting Mixed Numbers |

Lesson 36 - Rate Word Problems |

Lesson 37 - Equations - Answers and Solutions |

Lesson 38 - Rectangular Coordinates |

Lesson 39 - Equivalent Equations - Addition-Subtraction Rule for Equations |

Lesson 40 - Reciprocals - Multiplication Rule - Division Rule |

Lesson 41 - Overall Average |

Lesson 42 - Symbols of Inclusion - Division in Order of Operations |

Lesson 43 - Multiplying Mixed Numbers - Dividing Mixed Numbers |

Lesson 44 - Roots - Order of Operations with Exponents and Roots |

Lesson 45 - Volume |

Lesson 46 - Order of Operations with Fractions |

Lesson 47 - Evaluation of Exponential Expressions and Radicals |

Lesson 48 - Fractional Part of a Number - Fractional Equations |

Lesson 49 - Surface Area |

Lesson 50 - Scientific Notation for Numbers Greater than Ten and Between Zero and One |

Lesson 51 - Decimal Part of a Number |

Lesson 52 - Fractions and Symbols of Inclusion |

Lesson 53 - Percent |

Lesson 54 - Ratio and Proportion - Evaluating Expressions |

Lesson 55 - Fractions, Decimals, and Percents - Reference Numbers |

Lesson 56 - Equations with Mixed Numbers |

Lesson 57 - Mixed Number Problems |

Lesson 58 - The Distance Problem |

Lesson 59 - Proportions with Fractions |

Lesson 60 - Circles |

Lesson 61 - Solving Equations in Two Steps |

Lesson 62 - Fractional Part Word Problems |

Lesson 63 - Changing Rates |

Lesson 64 - Semicircles |

Lesson 65 - Proportions with Mixed Numbers - Using Proportions with Similar Triangles |

Lesson 66 - Ratio Word Problems |

Lesson 67 - Using Ratios to Compare |

Lesson 68 - Percent Word Problems - Visualizing Percents Less Than 100 |

Lesson 69 - Absolute Value - Adding Signed Numbers |

Lesson 70 - Rules for Addition of Signed Numbers |

Lesson 71 - Powers of Fractions - Roots of Fractions |

Lesson 72 - Graphing Inequalities |

Lesson 73 - Right Circular Cylinders |

Lesson 74 - Inserting Parentheses - Order of Addition |

Lesson 75 - Implied Ratios |

Lesson 76 - Multiplication with Scientific Notation |

Lesson 77 - Percents Greater Than 100 |

Lesson 78 - Opposites |

Lesson 79 - Simplifying More Difficult Notations |

Lesson 80 - Increases in Percent |

Lesson 81 - Multiplication and Division of Signed Numbers |

Lesson 82 - Evaluation with Signed Numbers |

Lesson 83 - Rate Problems as Proportion Problems |

Lesson 84 - Formats for the Addition Rule - Negative Coefficients - Properties of Equality |

Lesson 85 - Equation of a Line - Graphing a Line |

Lesson 86 - Algebraic Phrases |

Lesson 87 - Properties of Algebra |

Lesson 88 - Surface Area of a Right Solid |

Lesson 89 - Trichotomy - Symbols of Negation |

Lesson 90 - Algebraic Sentences |

Lesson 91 - Order of Operations with Signed Numbers and Symbols of Inclusion |

Lesson 92 - Estimating Roots |

Lesson 93 - Fraction Bars as Symbols of Inclusion |

Lesson 94 - Terms - Adding Like Terms, Part 1 |

Lesson 95 - Variables on Both Sides |

Lesson 96 - Multiple-Term Equations |

Lesson 97 - Two-Step Problems |

Lesson 98 - Adjacent Angles - Complementary and Supplementary Angles - Measuring Angles |

Lesson 99 - Exponents and Signed Numbers |

Lesson 100 - Advanced Ratio Problems |

Lesson 101 - Multiplication of Exponential Expressions - Variable Bases |

Lesson 102 - Adding Like Terms, Part 2 |

Lesson 103 - Distributive Property |

Lesson 104 - Classifying Triangles - Angles in Triangles |

Lesson 105 - Evaluating Powers of Negative Bases |

Lesson 106 - Roots of Negative Numbers - Negative Exponents - Zero Exponents |

Lesson 107 - Roman Numerals |

Lesson 108 - Fractional Percents |

Lesson 109 - Simple Interest - Compound Interest |

Lesson 110 - Markup and Markdown |

Lesson 111 - Commission - Profit |

Lesson 112 - Probability, Part 1 |

Lesson 113 - Inch Scale - Metric Scale |

Lesson 114 - Probability, Part 2 - Independent Events |

Lesson 115 - Polygons - Congruence and Transformation |

Lesson 116 - Area of Parallelograms and Trapezoids |

Lesson 117 - Equations with x² - Pythagorean Theorem - Demonstration of the Pythagorean Theorem |

Lesson 118 - English Volume Conversions |

Lesson 119 - Metric Volume Conversions |

Lesson 120 - Volume of Pyramids, Cones, and Spheres - Surface Area of Pyramids and Cones |

Lesson 121 - Forming Solids - Symmetry |

Lesson 122 - Permutations |

Lesson 123 - Numerals and Numbers - The Subsets of the Real Numbers |