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Please click here for a copy of the course syllabus |
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Part I - Perimeter, Area, and Right Triangles 5.1 - Perimeter and Area 5.2 - Areas of Triangles, Parallelograms, and Trapezoids 5.3 - Circumferences and Areas of Circles IG - Simplifying Radicals 5.4 - The Pythagorean Theorem 5.5 - Special Triangles and Areas of Regular Polygons Part II - Right Triangle Trigonometry, Coordinate Proof, and Geometric Probability 10.1 - Tangent Ratios 10.2 - Sines and Cosines 5.6 - The Distance Formula and the Method of Quadrature 5.7 - Proofs Using Coordinate Geometry 11.2 - Taxicab Geometry 5.8 - Geometric Probability |
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Click here for some isometric dot paper Part I - Representation of Three-Dimensional Figures 6.1 - Solid Shapes 6.2 - Spatial Relationships 6.3 - Prisms 6.4 - Coordinates in Three Dimensions 6.5 - Lines and Planes in Space 6.6 (Optional) - Perspective Drawing Part II - Surface Area and Volume of Solids 7.1 - Surface Area and Volume 7.2 - Surface Area and Volume of Prisms 7.3 - Surface Area and Volume of Pyramids 7.4 - Surface Area and Volume of Cylinders 7.5 - Surface Area and Volume of Cones 7.6 - Surface Area and Volume of Spheres |
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8.1 - Dilations and Scale Factor 8.2 - Similar Polygons 11.1 - Golden Connections 8.3 - Triangle Similarity 8.4 - The Side-Splitting Theorem 8.5 - Indirect Measurement and Additional Similarity Theorems IG - Geometric Mean IG - Altitude to the Hypotenuse of a Right Triangle 8.6 - Area and Volume Ratios 11.6 - Fractal Geometry (Optional Enrichment) |
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9.1 - Chords and Arcs 9.2 - Tangents to Circles 9.3 - Inscribed Angles and Arcs 9.4 - Angles Formed by Secants and Tangents 9.5 - Segments of Tangents, Secants, and Chords 9.6 - Circles in the Coordinate Plane (Optional Enrichment) IG - Areas of Sectors and Segments or Circles IG - Loci |
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10.3 - Extending the Trigonometric Ratios 10.4 - The Law of Sines 10.5 - The Law of Cosines 10.6 - Vectors |