Geometry

  1. Right Triangles and Trigonometry
    1. The Pythagorean Theorem
      1. Statement of the Theorem
        1. Geometric Proof
          1. Algebraic Applications
            1. Finding Missing Side Lengths
              1. Converse of the Pythagorean Theorem
                1. Determining Right Triangles
                  1. Classifying Triangles by Angles
                  2. Pythagorean Triples
                    1. Common Pythagorean Triples
                      1. Generating Pythagorean Triples
                    2. Special Right Triangles
                      1. 45-45-90 Triangles
                        1. Side Ratios
                          1. Deriving the Ratios
                            1. Applications and Problem Solving
                            2. 30-60-90 Triangles
                              1. Side Ratios
                                1. Deriving the Ratios
                                  1. Applications and Problem Solving
                                2. Introduction to Trigonometry
                                  1. Trigonometric Ratios in Right Triangles
                                    1. Sine Ratio
                                      1. Definition and Calculation
                                      2. Cosine Ratio
                                        1. Definition and Calculation
                                        2. Tangent Ratio
                                          1. Definition and Calculation
                                        3. Using Trigonometric Ratios
                                          1. Finding Side Lengths
                                            1. Finding Angle Measures
                                              1. Choosing the Appropriate Ratio
                                            2. Inverse Trigonometric Functions
                                              1. Inverse Sine
                                                1. Definition and Notation
                                                  1. Finding Angle Measures
                                                  2. Inverse Cosine
                                                    1. Definition and Notation
                                                      1. Finding Angle Measures
                                                      2. Inverse Tangent
                                                        1. Definition and Notation
                                                          1. Finding Angle Measures
                                                          2. Calculator Use and Rounding
                                                          3. Solving Right Triangles
                                                            1. Complete Solution Process
                                                              1. Finding All Missing Parts
                                                                1. Real-World Applications
                                                                  1. Angle of Elevation
                                                                    1. Angle of Depression
                                                                      1. Construction Applications

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                                                                  7. Similarity