Description: Section One: Numbers: Theory and Operation List 1, The Real Numbers 2 List 2, Classification of Real Numbers 3 List 3, Cardinal and Ordinal Numbers 4 List 4, Prime Numbers 5 List 5, Types of Prime Numbers 6 List 6, Composite Numbers 8 List 7, Perfect Squares and Cubes 9 List 8, Abundant, Deficient, and Perfect Numbers 10 List 9, Amicable Numbers 12 List 10, Some Lesser-Known Types of Numbers 13 List 11, Multiplication Table 15 List 12, Rules for Finding Divisibility 16 List 13, Rules for Finding the Greatest Common Factor (GCF) 17 List 14, Rules for Finding the Least Common Multiple (LCM) 18 List 15, Types of Fractions 19 List 16, Rules for Simplifying Fractions 20 List 17, Rules for Operations with Fractions 21 List 18, Rules for Operations with Mixed Numbers 23 List 19, Place Value Chart 25 List 20, Types of Decimals 26 List 21, Rules for Operations with Decimals 27 List 22, Rules for Changing Decimals to Fractions 29 List 23, Rules for Changing Fractions to Decimals 31 List 24, Rules for Changing Decimals to Percents 32 List 25, Rules for Changing Percents to Decimals 33 List 26, Rules for Changing Fractions to Percents 34 List 27, Rules for Changing Percents to Fractions 35 List 28, Percent Equivalents 36 List 29, Rules for Solving Proportions 37 List 30, Rules for Finding Percents of Numbers 38 List 31, Rules for Finding Percent and the Base 39 List 32, Rules for Operations with Integers 40 List 33, Properties of Integers 42 List 34, Rules for Finding the Average (Mean) 43 List 35, Rules for Rounding Numbers 44 List 36, Rules for Finding Prime Factorizations 45 List 37, Scientific Notation 46 List 38, Bases 47 List 39, Big Numbers 48 List 40, Mathematical Signs and Symbols 49 Section Two: Measurement List 41, Things That Measure 52 List 42, The Origin of Measurements 54 List 43, Obsolete Units of Measure 55 List 44, Measurement Abbreviations 56 List 45, The English System of Weights and Measures 58 List 46, Rules for Converting Units in the English System 62 List 47, U.S. and British Units of Measurement 63 List 48, Units of the Metric System 64 List 49, Metric Standards 65 List 50, Metric Prefixes 67 List 51, Weights and Measures in the Metric System 68 List 52, Converting One Unit to Another in the Metric System 69 List 53, Rules for Adding Units of Measurement 70 List 54, Rules for Subtracting Units of Measurement 70 List 55, Rules for Multiplying Units of Measurement 71 List 56, Rules for Dividing Units of Measurement 71 List 57, English-Metric Equivalents 72 List 58, Metric-English Equivalents 74 List 59, Conversion Factors for Length 75 List 60, Conversion Factors for Area 76 List 61, Conversion Factors for Volume 76 List 62, Conversion Factors for Liquid Capacity 77 List 63, Conversion Factors for Dry Capacity 77 List 64, Conversion Factors for Mass (Weight) 78 List 65, Measures of Force and Pressure 79 List 66, Measurement of Time 80 List 67, Temperature Formulas 81 List 68, Getting a Feel for Temperature 82 List 69, The Richter Scale 83 List 70, Wind Speed 84 List 71, The Saffir-Simpson Hurricane Scale 85 List 72, The Fujita Scale of Tornado Intensity 86 List 73, Computer Memory 87 List 74, Paper Measures or Paper Weights 88 List 75, U.S. Money: Coins and Bills 89 Section Three: Geometry List 76, Undefined Terms of Geometry 91 List 77, Euclid''s Axioms and Postulates 92 List 78, Lines and Planes 93 List 79, Steps for Naming an Angle 94 List 80, Measuring Angles 95 List 81, Drawing Angles 96 List 82, Types of Angles and the Facts 97 List 83, Facts About Pairs of Angles 98 List 84, Angles Formed by a Transversal 99 List 85, Principles of Parallel Lines 100 List 86, Principles of Perpendicular Lines 101 List 87, Types of Polygons 101 List 88, Regular Polygons: Terms and Formulas 102 List 89, Principles of Regular Polygons 103 List 90, Shapes of Numbers 104 List 91, Figurate Number Formulas 106 List 92, Polyominoes 106 List 93, Pentominoes and Hexominoes 107 List 94, Basic Figures in Geometry 108 List 95, Tangram Facts and Figures 110 List 96, Triangle Terms 112 List 97, Classifying Triangles 113 List 98, Principles of Triangles 114 List 99, Concurrent Segments of Triangles 115 List 100, Special Right Triangles 116 List 101, Pythagorean Triples 117 List 102, Proving Triangles Congruent 118 List 103, Properties of Similar Triangles 118 List 104, Proving Triangles Similar 119 List 105, Ratio and Proportion 120 List 106, Deriving Proportions 121 List 107, Principles Relating to Parallel and Proportional Lines 122 List 108, Pascal''s Triangle 123 List 109, The Harmonic Triangle 124 List 110, Types of Quadrilaterals 125 List 111, Properties of Special Quadrilaterals 126 List 112, Classification of Quadrilaterals 127 List 113, Proofs for Quadrilaterals 128 List 114, Tessellations 129 List 115, Circles 130 List 116, Special Circles 131 List 117, Circles: Line and Segment Principles 132 List 118, Circles: Arcs and Angles 134 List 119, Principles of Arcs and Angles 135 List 120, Solids 137 List 121, Platonic Solids 139 List 122, Classifications of Solids 140 List 123, Patterns of a Painted Cube 141 List 124, Scale Factors for Similar and Plane Figures and Solids 142 List 125, Types of Symmetry 143 List 126, Types of Transformations 144 List 127, Transformation Matrices 145 List 128, Fractal Facts 146 List 129, Formulas for Perimeter and Circumference 147 List 130, Area Formulas for Basic Figures 148 List 131, More Formulas for Area 149 List 132, Formulas for Surface Area 151 List 133, Formulas for Finding Volume 152 Section Four: Algebra List 134, How to Express Operations Algebraically 154 List 135, Algebraic Grouping Symbols 154 List 136, Properties of Real Numbers 155 List 137, Summary of Properties of Sets of Numbers 156 List 138, Relating Operations on the Real Numbers 157 List 139, Axioms of Equality 158 List 140, Axioms of Order 158 List 141, Properties of Equality 159 List 142, Properties of Inequalities 160 List 143, Powers of Real Numbers 161 List 144, Rules for Exponents 162 List 145, Order of Operations 162 List 146, How to Construct a Number Line 163 List 147, Steps for Graphing on a Number Line 164 List 148, The Absolute Facts on Absolute Value 165 List 149, Steps to Solve an Equation in One Variable 166 List 150, Steps to Solve an Inequality in One Variable 167 List 151, Polynomials 168 List 152, Multiplication with Monomials and Polynomials 169 List 153, Guidelines for Factoring Polynomials of Degree 2 170 List 154, Common Factoring Formulas 171 List 155, Characteristics of the Coordinate Plane 172 List 156, Plotting Points on the Coordinate Plane 173 List 157, Common Forms of Linear Equations 174 List 158, Formulas and the Coordinate Plane 175 List 159, Graphing Linear Equations in Two Variables on the Coordinate Plane 176 List 160, Graphing a Linear Inequality in Two Variables on the Coordinate Plane 177 List 161, Steps to Solve a System of Linear Equations in Two Variables 178 List 162, Types of Functions 180 List 163, Direct Facts on Variation 182 List 164, Functional Facts About Functions 183 List 165, Square Roots 184 List 166, Nth Roots 185 List 167, Powers and Roots 186 List 168, Conditions for Simplifying Radical Expressions 187 List 169, Steps for Solving a Quadratic Equation 188 List 170, Imaginary Numbers and Their Powers 190 List 171, Discriminant and Coefficients 191 List 172, Quadratic Functions 191 List 173, Graph of a Circle 192 List 174, Graph of an Ellipse 193 List 175, Graph of a Parabola 194 List 176, Graph of a Hyperbola 196 List 177, Properties of Complex Numbers 198 List 178, Operations with Complex Numbers 199 List 179, Conjugate Complex Numbers 199 List 180, Vectors 200 List 181, Matrices 202 List 182, Types of Matrices 204 Section Five: Trigonometry and Calculus List 183, Right Triangle Definitions of Trigonometric Functions 206 List 184, Trigonometric Functions of Complementary Angles 207 List 185, How to Express Angles in Circular Measure 208 List 186, Circular Function Definition of Trigonometric Functions 209 List 187, Trigonometric Functions of Quadrantal Angles 210 List 188, The Quadrant Signs of the Functions 211 List 189, Variations of Trigonometric Functions 212 List 190, Trigonometric Functions of Some Special Angles 213 List 191, Fundamental Periods of Trigonometric Functions 214 List 192, Trigonometric Functions: Their Domains, Ranges, and Periods 215 List 193, Graphs of the Trigonometric Functions 216 List 194, General Trigonometric Functions: Their Periods and Amplitudes 217 List 195, Basic Trigonometric Identities 218 List 196, Angle-Sum an

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