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0.1: Changing Units of Measure Within Systems |
0.2: Changing Units of Measure Between Systems |
0.3: Simple Probability |
0.4: Algebraic Expressions |
0.5: Linear Equations |
0.6: Linear Inequalities |
0.7: Ordered Pairs |
0.8: Systems of Linear Equations |
0.9: Square Roots and Simplifying Radicals |
1.1: Points, Lines, and Planes |
1.2: Line Segments and Distance |
1.3: Locating Points and Midpoints |
1.4: Angle Measure |
1.5: Angle Relationships |
1.6: Two-Dimensional Figures |
1.7: Transformations in the Plane |
1.8: Three-Dimensional Figures |
1.9: Two-Dimensional Representations of Three-Dimensional Figures |
1.10: Precision and Accuracy |
2.1: Conjectures and Counterexamples |
2.2: Statements, Conditionals, and Biconditionals |
2.3: Deductive Reasoning |
2.4: Writing Proofs |
2.5: Proving Segment Relationships |
2.6: Proving Angle Relationships |
2.7: Parallel Lines and Transversals |
2.8: Slope and Equations of Lines |
2.9: Proving Lines Parallel |
2.10: Perpendiculars and Distance |
3.1: Reflections |
3.2: Translations |
3.4: Compositions of Transformations |
3.5: Symmetry |
4.1: Angles of Triangles |
4.2: Congruent Triangles |
4.3: Proving Triangles Congruent – SSS, SAS |
4.4: Proving Triangles Congruent – ASA, AAS |
4.5: Proving Right Triangles Congruent |
4.6: Isosceles and Equilateral Triangles |
4.7: Triangles and Coordinate Proof |
5.1: Bisectors of Triangles |
5.2: Medians and Altitudes of Triangles |
5.3: Inequalities in One Triangle |
5.4: Indirect Proof |
5.5: The Triangle Inequality |
5.6: Inequalities in Two Triangles |
6.1: Angles of Polygons |
6.2: Parallelograms |
6.3: Tests for Parallelograms |
6.4: Special Parallelograms: Rectangles |
6.5: Special Parallelograms: Rhombi, Squares |
6.6: Trapezoids and Kites |
7.1: Dilations |
7.2: Similar Polygons |
7.3: Similar Triangles: AA Similarity |
7.4: Similar Triangles: SSS and SAS Similarity |
7.5: Parallel Lines and Proportional Parts |
7.6: Parts of Similar Triangles |
8.1: Geometric Mean |
8.2: The Pythagorean Theorem and Its Converse |
8.3: Special Right Triangles |
8.4: Trigonometry |
8.5: Angles of Elevation and Depression |
8.6: The Law of Sines |
8.7: The Law of Cosines |
9.1: Circles and Circumference |
9.2: Measuring Angles and Arcs |
9.3: Arcs and Chords |
9.4: Inscribed Angles |
9.5: Tangents |
9.6: Secants, Tangents, and Angle Measures |
9.7: Equations of Circles |
9.8: Equations of Parabolas |
10.1: Areas of Parallelograms and Triangles |
10.2: Areas of Trapezoids, Rhombi, and Kites |
10.3: Areas of Circles and Sectors |
10.4: Areas of Regular Polygons and Composite Figures |
10.5: Area and Nonrigid Transformations |
10.6: Surface Area |
11.1: Cross Sections and Solids of Revolution |
11.2: Volumes of Prisms and Cylinders |
11.3: Volumes of Pyramids and Cones |
11.4: Spheres |
11.5: Spherical Geometry |
11.6: Volume and Nonrigid Transformations |
11.7: Applying Measurements |
12.1: Representing Sample Spaces |
12.2: Probability and Counting |
12.3: Probability with Permutations and Combinations |
12.4: Geometric Probability |
12.5: Probability and the Multiplication Rule |
12.6: Probability and the Addition Rule |
12.7: Conditional Probability |
12.8: Two-Way Frequency Tables |