Saxon Math 87, 2nd edition

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.


Video Lessons

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Table of Contents

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