Saxon Math Advanced Math
Saxon Math Advanced Math is typically used after completing Saxon Math Algebra 2. It provides in-depth coverage of trigonometry, logarithms, analytic geometry, and upper-level algebraic concepts. It also includes continued practice of intermediate algebraic concepts and trigonometry introduced in Algebra 2 and features new lessons on functions, matrices, statistics, and the graphing calculator (see table of contents below).
Each lesson includes practice problems along with cumulative review questions 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 calculus at the high school or college level.
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Video Lessons
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Table of Contents
| Lesson 1 - Geometry Review |
| Lesson 2 - More on Area - Cylinders and Prisms - Cones and Pyramids - Spheres |
| Lesson 3 - Pythagorean Theorem - Triangle Inequalities - Similar Polygons and Triangles |
| Lesson 4 - Construction |
| Lesson 5 - Exponents and Radicals - Complex Numbers - Areas of Similar Figures - Diagonals |
| Lesson 6 - Fractional Equations - Radical Equations - Systems of Three Linear Equations |
| Lesson 7 - Inductive and Deductive Reasoning - Logic - Contrapositive - Converse and Inverse |
| Lesson 8 - Statements of Similarity - Proportional Segments - Angle Bisectors and Side Ratios |
| Lesson 9 - Congruent Figures - Proof Outlines |
| Lesson 10 - Equation of a Line - Rational Denominators - Completing the Square |
| Lesson 11 - Circles - Properties of Circles - The Quadratic Formula |
| Lesson 12 - Angles and Diagonals in Polygons - Proof of the Chord-Tangent Theorem |
| Lesson 13 - Intersecting Secants and Tangents - Products of Chord Segments - Products of Secant and |
| Lesson 14 - Sine, Cosine, and Tangent - Angles of Elevation and Depression - Rectangular and Polar Coordinates - Coordinate Conversion |
| Lesson 15 - Assumptions - Proofs |
| Lesson 16 - Complex Fractions - Abstract Equations - Division of Polynomials |
| Lesson 17 - Proofs of the Pythagorean Theorem - Proofs of Similarity |
| Lesson 18 - Advanced Word Problems |
| Lesson 19 - Nonlinear Systems - Factoring Exponentials - Sum and Difference of Two Cubes |
| Lesson 20 - Two Special Triangles |
| Lesson 21 - Evaluating Functions - Domain and Range - Types of Functions - Tests for Functions |
| Lesson 22 - Absolute Value - Reciprocal Functions |
| Lesson 23 - The Exponential Function - Sketching Exponentials |
| Lesson 24 - Sums of Trigonometric Functions - Combining Functions |
| Lesson 25 - Age Problems - Rate Problems |
| Lesson 26 - The Logarithmic Form of the Exponential - Logarithmic Equations |
| Lesson 27 - Related Angles - Signs of Trigonometric Functions |
| Lesson 28 - Factorial Notation - Abstract Rate Problems |
| Lesson 29 - The Unit Circle - Very Large and Very Small Fractions - Quadrantal Angles |
| Lesson 30 - Addition of Vectors - Overlapping Triangles |
| Lesson 31 - Symmetry - Reflections - Translations |
| Lesson 32 - Inverse Functions - Four Quadrant Signs - Inverse Trigonometric Functions |
| Lesson 33 - Quadrilaterals - Parallelograms - Trapezoids |
| Lesson 34 - Summation Notation - Linear Regression - Decomposing Functions |
| Lesson 35 - Change in Coordinates - The Name of a Number - Distance Formula |
| Lesson 36 - Angles Greater Than 360° - Sums of Trig Functions - Boat-in-the-Rive |
| Lesson 37 - The Line as a Locus - The Midpoint Formula |
| Lesson 38 - Fundamental Counting Principle and Permutations - Designated Roots - |
| Lesson 39 - Radian Measure of Angles - Forms of Linear Equations |
| Lesson 40 - The Argument in Mathematics - The Laws of Logarithms - Properties of |
| Lesson 41 - Reciprocal Trigonometric Functions - Permutation Notation |
| Lesson 42 - Conic Sections - Circles - Constants in Exponential Functions |
| Lesson 43 - Periodic Functions - Graphs of Sin T and Cos T |
| Lesson 44 - Abstract Rate Problems |
| Lesson 45 - Conditional Permutations - Two-Variable Analysis Using a Graphing Ca |
| Lesson 46 - Complex Roots - Factoring Over the Complex Numbers |
| Lesson 47 - Vertical Sinusoid Translations - Arctan |
| Lesson 48 - Powers of Trigonometric Functions - Perpendicular Bisectors |
| Lesson 49 - The Logarithmic Function - Development of the Rules for Logarithms |
| Lesson 50 - Trigonometric Equations |
| Lesson 51 - Common Logarithm and Natural Logarithms |
| Lesson 52 - The Inviolable Argument - Arguments in Trigonometric Equations |
| Lesson 53 - Review of Unit Multipliers - Angular Velocity |
| Lesson 54 - Parabolas |
| Lesson 55 - Circular Permutations - Distinguishable Permutations |
| Lesson 56 - Triangular Areas - Areas of Segments - Systems of Inequalities |
| Lesson 57 - Phase Shifts in Sinusoids - Period of a Sinusoid |
| Lesson 58 - Distance From a Point to a Line - Narrow and Wide Parabolas |
| Lesson 59 - Advanced Logarithm Problems - The Color of the White House |
| Lesson 60 - Factorable Trigonometric Equations - Loss of Solutions Caused by Div |
| Lesson 61 - Single-Variable Analysis - The Normal Distribution - Box-and-Whisker |
| Lesson 62 - Abstract Coefficients - Linear Variation |
| Lesson 63 - Circles and Completing the Square |
| Lesson 64 - The Complex Plane - Polar Form of a Complex Number - Sums and Products of Complex Numbers |
| Lesson 65 - Radicals in Trigonometric Equations - Graphs of Logarithmic Functions |
| Lesson 66 - Formulas for Systems of Equations - Phase Shifts and Period Changes |
| Lesson 67 - Antilogarithms |
| Lesson 68 - Locus Definition of a Parabola - Translated Parabolas - Applications |
| Lesson 69 - Matrices - Determinants |
| Lesson 70 - Percentiles and z Scores |
| Lesson 71 - The Ellipse (1) |
| Lesson 72 - One Side Plus Two Other Parts - Law of Sines |
| Lesson 73 - Regular Polygons |
| Lesson 74 - Cramer's Rule |
| Lesson 75 - Combinations |
| Lesson 76 - Functions of (-x) - Functions of the Other Angle - Trigonometric Identities (1) - Rules |
| Lesson 77 - Binomial Expansions (1) |
| Lesson 78 - The Hyperbola |
| Lesson 79 - De Moivre's Theorem - Roots of Complex Numbers |
| Lesson 80 - Trigonometric Identities (2) |
| Lesson 81 - Law of Cosines |
| Lesson 82 - Taking the Logarithm of - Exponential Equations |
| Lesson 83 - Simple Probability - Independent Events - Replacement |
| Lesson 84 - Factorable Expressions - Sketching Sinusoids |
| Lesson 85 - Advanced Trigonometric Equations - Clock Problems |
| Lesson 86 - Arithmetic Progressions and Arithmetic Means |
| Lesson 87 - Sum and Difference Identities - Tangent Identities |
| Lesson 88 - Exponential Functions (Growth and Decay) |
| Lesson 89 - The Ellipse (2) |
| Lesson 90 - Double-Angle Identities - Half-Angle Identities |
| Lesson 91 - Geometric Progressions |
| Lesson 92 - Probability of Either - Notations for Permutations and Combinations |
| Lesson 93 - Advanced Trigonometric Identities - Triangle Inequalities (2) |
| Lesson 94 - Graphs of Secant and Cosecant - Graphs of Tangent and Cotangent |
| Lesson 95 - Advanced Complex Roots |
| Lesson 96 - More Double-Angle Identities - Triangle Area Formula - Proof of the Law of Sines - Equal Angles Imply Proportional Sides |
| Lesson 97 - The Ambiguous Case |
| Lesson 98 - Change of Base - Contrived Logarithm Problems |
| Lesson 99 - Sequence Notations - Advanced Sequence Problems - The Arithmetic and Geometric Means |
| Lesson 100 - Product Identities - More Sum and Difference Identities |
| Lesson 101 - Zero Determinants - 3 x 3 Determinants - Determinant Solutions of 3 x 3 Systems - Independent Equations |
| Lesson 102 - Binomial Expansions (2) |
| Lesson 103 - Calculations with Logarithms - Power of the Hydrogen |
| Lesson 104 - Arithmetic Series - Geometric Series |
| Lesson 105 - Cofactors - Expansion of Cofactors |
| Lesson 106 - Translations of Conic Sections - Equations of the Ellipse - Equations of the Hyperbola |
| Lesson 107 - Convergent Geometric Series |
| Lesson 108 - Matrix Addition and Multiplication |
| Lesson 109 - Rational Numbers |
| Lesson 110 - Graphs of arcsine and arccosine - Graphs of arcsecant and arccosecant - Graphs of arctangent and arccotangent |
| Lesson 111 - Logarithmic Inequalities (Base Greater Than 1) - Logarithmic Inequalities (Base Less Than 1) |
| Lesson 112 - Binomial Theorem |
| Lesson 113 - Synthetic Division - Zeros and Roots |
| Lesson 114 - Graphs of Factored Polynomial Functions |
| Lesson 115 - The Remainder Theorem |
| Lesson 116 - The Region of Interest |
| Lesson 117 - Prime and Relatively Prime Numbers - Rational Roots Theorem |
| Lesson 118 - Roots of Polynomial Equations |
| Lesson 119 - Descartes' Rule of Signs - Upper and Lower Bound Theorem - Irrational Roots |
| Lesson 120 - Matrix Algebra - Finding Inverse Matrices |
| Lesson 121 - Piecewise Functions - Greatest Integer Function |
| Lesson 122 - Graphs of Rational Functions - Graphs That Contain Holes |
| Lesson 123 - The General Conic Equation |
| Lesson 124 - Point of Division Formulas |
| Lesson 125 - Graphing Calculators |