2nd edition

Saxon Math 87 is a comprehensive math textbook designed for 7th or 8th-grade students, intended to be used after the completion of either Saxon Math 76, Saxon Math 7/6, or Course 1. 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 plus 10 investigations organized into 12 sections covering topics such as arithmetic calculation, measurements, ratios, probability, geometry, fraction arithmetic, scientific notation, and statistics. The book also includes an introduction to pre-algebraic concepts, including solving linear equations and graphing linear equations, 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. Additionally, the book includes real-world applications of mathematical concepts, encouraging students to see the relevance of math in everyday life. Overall, the book aims to prepare students for high school math courses.

*Note:* This book is an older edition of Saxon Math 8/7. Both editions will work with My Math Assistant.

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Lesson 1 - Arithmetic with Whole Numbers and Money |

Lesson 2 - Properties of Operations - Sequences |

Lesson 3 - Missing Numbers in Addition, Subtraction, Multiplication, and Division |

Lesson 4 - Number Line |

Lesson 5 - Place Value through Hundred Trillions - Reading and Writing Whole Numbers |

Lesson 6 - Factors - Divisibility |

Lesson 7 - Lines and Angles |

Lesson 8 - Fractions and Percents - Inch Ruler |

Lesson 9 - Adding, Subtracting, and Multiplying Fractions - Reciprocals |

Lesson 10 - Writing Division Answers as Mixed Numbers - Improper Fractions |

Investigation 1 - Investigating Fractions and Percents with Manipulatives |

Lesson 11 - Problems About Combining - Problems About Separating |

Lesson 12 - Problems About Comparing - Elapsed-Time Problems |

Lesson 13 - "Equal Groups" Word Problems |

Lesson 14 - Problems About Parts of a Whole |

Lesson 15 - Equivalent Fractions - Reducing Fraction Part 1 |

Lesson 16 - US Customary System |

Lesson 17 - Measuring Angles with a Protractor |

Lesson 18 - Polygons - Similar and Congruent |

Lesson 19 - Perimeter |

Lesson 20 - Exponents - Rectangular Area Part 1 - Square Root |

Investigation 2 - Using a Compass and Straightedge, Part 1 |

Lesson 21 - Prime and Composite Numbers - Prime Factorization |

Lesson 22 - Problems About a Fraction of a Group |

Lesson 23 - Subtracting Mixed Numbers with Regrouping |

Lesson 24 - Reducing Fractions Part 2 |

Lesson 25 - Dividing Fractions |

Lesson 26 - Multiplying and Dividing Mixed Numbers |

Lesson 27 - Multiples - Least Common Multiple - Equivalent Division Problems |

Lesson 28 - Two-Step Word Problems - Average Part 1 |

Lesson 29 - Rounding Whole Numbers - Rounding Mixed Numbers - Estimating Answers |

Lesson 30 - Common Denominators - Adding and Subtracting Fractions with Different Denominators |

Investigation 3 - Coordinate Plane |

Lesson 31 - Reading and Writing Decimal Numbers |

Lesson 32 - Metric System |

Lesson 33 - Comparing Decimals - Rounding Decimals |

Lesson 34 - Decimal Numbers on the Number Line |

Lesson 35 - Adding, Subtracting, Multiplying, Dividing Decimal Numbers |

Lesson 36 - Ratio - Simple Probability |

Lesson 37 - Area of a Triangle - Rectangular Area, Part 2 |

Lesson 38 - Interpreting Graphs |

Lesson 39 - Proportions |

Lesson 40 - Sum of the Angle Measures of a Triangle - Angle Pairs |

Investigation 4 - Stem-and-Leaf Plots - Box-and-Whisker Plots |

Lesson 41 - Using Formulas - Distributive Property |

Lesson 42 - Repeating Decimals |

Lesson 43 - Converting Decimals to Fractions, Fractions to Decimals, Percents to Decimals |

Lesson 44 - Division Answers |

Lesson 45 - Dividing by a Decimal Number |

Lesson 46 - Unit Price - Rates - Sales Tax |

Lesson 47 - Powers of 10 |

Lesson 48 - Fraction-Decimal-Percent Equivalents |

Lesson 49 - Adding Mixed Measures |

Lesson 50 - Unit Multipliers and Unit Conversion |

Investigation 5 - Creating Graphs |

Lesson 51 - Scientific Notation for Large Numbers |

Lesson 52 - Order of Operations |

Lesson 53 - Multiplying Rates |

Lesson 54 - Ratio Word Problems |

Lesson 55 - Average, Part 2 |

Lesson 56 - Subtracting Mixed Measures |

Lesson 57 - Negative Exponents - Scientific Notation for Small Numbers |

Lesson 58 - Line Symmetry - Functions, Part 1 |

Lesson 59 - Adding Integers on the Number Line |

Lesson 60 - Fractional Part of a Number, Part 1 - Percent of a Number, Part 1 |

Investigation 6 - Classifying Quadrilaterals |

Lesson 61 - Area of a Parallelogram - Angles of a Parallelogram |

Lesson 62 - Classifying Triangles |

Lesson 63 - Symbols of Inclusion |

Lesson 64 - Adding Signed Numbers |

Lesson 65 - Ratio Problems Involving Totals |

Lesson 66 - Circumference - Pi |

Lesson 67 - Geometric Solids |

Lesson 68 - Algebraic Addition |

Lesson 69 - More on Scientific Notation |

Lesson 70 - Volume |

Investigation 7 - Balanced Equations |

Lesson 71 - Finding the Whole Group When a Fraction Is Known |

Lesson 72 - Implied Ratios |

Lesson 73 - Multiplying and Dividing Signed Numbers |

Lesson 74 - Fractional Part of a Number, Part 2 |

Lesson 75 - Area of a Complex Figure - Area of a Trapezoid |

Lesson 76 - Complex Fractions |

Lesson 77 - Percent of a Number, Part 2 |

Lesson 78 - Graphing Inequalities |

Lesson 79 - Insufficient Information - Quantitative Comparison |

Lesson 80 - Transformations |

Investigation 8 - Using a Compass and Straight Edge, Part 2 |

Lesson 81 - Using Proportions to Solve Percent Problems |

Lesson 82 - Area of a Circle |

Lesson 83 - Multiplying Powers of 10 - Multiplying Numbers in Scientific Notation |

Lesson 84 - Algebraic Terms |

Lesson 85 - Order of Operations with Signed Numbers - Functions, Part 2 |

Lesson 86 - Number Families |

Lesson 87 - Multiplying Algebraic Terms |

Lesson 88 - Multiple Unit Multipliers - Converting Units of Area |

Lesson 89 - Diagonals - Interior Angles - Exterior Angles |

Lesson 90 - Mixed Number and Negative Coefficients |

Investigation 9 - Graphing Functions |

Lesson 91 - Evaluations with Signed Numbers - Sign Numbers Without Parentheses |

Lesson 92 - Percent of Change |

Lesson 93 - Two-Step Equations and Inequalities |

Lesson 94 - Compound Probability - Independent Events |

Lesson 95 - Volume of a Right Solid |

Lesson 96 - Estimating Angle Measures - Distributive Property with Algebraic Terms |

Lesson 97 - Similar Triangles - Indirect Measures |

Lesson 98 - Scale - Scale Factor |

Lesson 99 - Pythagorean Theorem |

Lesson 100 - Estimating Square Roots - Irrational Numbers |

Investigation 10 - Probability, Chance, and Odds |

Lesson 101 - Translating Expressions into Equations |

Lesson 102 - Transversals - Simplifying Equations |

Lesson 103 - Powers of Negative Numbers - Dividing Terms |

Lesson 104 - Semicircles, Arcs, and Sectors |

Lesson 105 - Surface Area of a Right Solid and Sphere - More on Roots |

Lesson 106 - Solving Literal Equations - Transforming Formulas |

Lesson 107 - Slope |

Lesson 108 - Formulas and Substitution |

Lesson 109 - Equations with Exponents |

Lesson 110 - Simple Interest and Compound Interest - Successive Discounts |

Investigation 11 - Effect of Scaling on Perimeter, Area, and Volume |

Lesson 111 - Dividing in Scientific Notation |

Lesson 112 - Applications of the Pythagorean Theorem |

Lesson 113 - Volume of Pyramids, Cones, and Spheres |

Lesson 114 - Negative Exponents |

Lesson 115 - Volume, Capacity, and Mass in the Metric System |

Lesson 116 - Factoring Algebraic Expressions |

Lesson 117 - Slope-Intercept Form of Linear Equations |

Lesson 118 - Copying Angles and Triangles |

Lesson 119 - Division by Zero |

Lesson 120 - Graphing Nonlinear Equations |

Investigation 12 - Proof of the Pythagorean Theorem |