Saxon Math Algebra 1/2

3rd edition

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Saxon 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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Table of Contents

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