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| 1.1: Basic Constructions |
| 1.2: Patterns and Inductive Reasoning |
| 1.3: Conditional Statements |
| 1.4: Biconditionals and Definitions |
| 1.5: Deductive Reasoning |
| 1.6: Reasoning in Algebra and Geometry |
| 1.7: Proving Angles Congruent |
| 2.1: Lines and Angles |
| 2.2: Properties of Parallel Lines |
| 2.3: Proving Lines Parallel |
| 2.4: Parallel and Perpendicular Lines |
| 2.5: Parallel Lines and Triangles |
| 2.6: Constructing Parallel and Perpendicular Lines |
| 3.1: Congruent Figures |
| 3.2: Triangle Congruence by SSS and SAS |
| 3.3: Triangle Congruence by ASA and AAS |
| 3.4: Using Corresponding Parts of Congruent Triangles |
| 3.5: Isosceles and Equilateral Triangles |
| 3.6: Congruence in Right Triangles |
| 3.7: Congruence in Overlapping Triangles |
| 3.8: Congruence Transformations |
| 4.1: Midsegments of Triangles |
| 4.2: Perpendicular and Angle Bisectors |
| 4.3: Bisectors in Triangles |
| 4.4: Medians and Altitudes |
| 4.5: Indirect Proof |
| 4.6: Inequalities in One Triangle |
| 4.7: Inequalities in Two Triangles |
| 5.1: The Polygon Angle-Sum Theorem |
| 5.2: Properties of Parallelograms |
| 5.3: Proving That a Quadrilateral Is a Parallelogram |
| 5.4: Properties of Rhombuses, Rectangles, and Squares |
| 5.5: Conditions for Rhombuses, Rectangles, and Squares |
| 5.6: Trapezoids and Kites |
| 5.7: Applying Coordinate Geometry |
| 5.8: Proofs Using Coordinate Geometry |
| 6.1: Ratios and Proportions |
| 6.2: Similar Polygons |
| 6.3: Proving Triangles Similar |
| 6.4: Similarity in Right Triangles |
| 6.5: Proportions in Triangles |
| 6.6: Dilations |
| 6.7: Similarity Transformations |
| 7.1: The Pythagorean Theorem and Its Converse |
| 7.2: Special Right Triangles |
| 7.3: Trigonometry |
| 7.4: Angles of Elevation and Depression |
| 7.5: Areas of Regular Polygons |
| 8.1: Circles and Arcs |
| 8.2: Areas of Circles and Sectors |
| 8.3: Tangent Lines |
| 8.4: Chords and Arcs |
| 8.5: Inscribed Angles |
| 8.6: Angle Measures and Segment Length |
| 9.1: Surface Areas of Prisms and Cylinders |
| 9.2: Surface Areas of Pyramids and Cones |
| 9.3: Volumes of Prisms and Cylinders |
| 9.4: Volumes of Pyramids and Cones |
| 9.5: Surface Areas and Volumes of Spheres |
| 10.1: Multiplying Powers With the Same Base |
| 10.2: More Multiplication Properties of Exponents |
| 10.3: Division Properties of Exponents |
| 10.4: Rational Exponents and Radicals |
| 11.1: Adding and Subtracting Polynomials |
| 11.2: Multiplying and Factoring |
| 11.3: Multiplying Binomials |
| 11.4: Multiplying Special Cases |
| 11.5: Factoring x2 + bx + c |
| 11.6: Factoring ax2 + bx + c |
| 11.7: Factoring Special Cases |
| 11.8: Factoring by Grouping |
| 12.1: Quadratic Graphs and Their Properties |
| 12.2: Quadratic Functions |
| 12.3: Modeling With Quadratic Functions |
| 12.4: Solving Quadratic Equations |
| 12.5: Factoring to Solve Quadratic Equations |
| 12.6: Completing the Square |
| 12.7: The Quadratic Formula and the Discriminant |
| 12.8: Complex Numbers |
| 12.9: Linear, Quadratic, and Exponential Models |
| 12.10: Systems of Linear and Quadratic Equations |
| 12.11: A New Look At Parabolas |
| 12.12: Circles in the Coordinate Plane |
| 13.1: Experimental and Theoretical Probability |
| 13.2: Probability Distributions and Frequency Tables |
| 13.3: Permutations and Combinations |
| 13.4: Compound Probability |
| 13.5: Probability Models |
| 13.6: Conditional Probability Formulas |
| 13.7: Modeling Randomness |
| 14.1: Properties of Exponential Functions |
| 14.2: Graphing Radical Functions |
| 14.3: Piecewise Functions |
| 14.4: Combining Functions |
| 15.1: Mathematical Patterns |
| 15.2: Arithmetic Sequences |
| 15.3: Geometric Sequences |
| 15.4: Arithmetic Series |
| 15.5: Geometric Series |