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Geometry Syllabus Geometry is a full year course that expands and accelerates all objectives in the Tennessee State Standards for Geometry. Students in the course are expected to be diligent and are to complete all assignments of the topics covered which will be aligned with the standards of the course. If there is sufficient time, projects may be given and field trips may be taken to aid and reinforce students in understanding and applying key concepts presented in this course. Course Outline: Unit One – Tools of Geometry Points, Lines, Planes Linear Measure Distance and Midpoints Angle Measurement Angle Relationships Two-Dimensional Figures Three-Dimensional Figures Inductive Reasoning and Conjecture Logic Conditional Statements Deductive Reasoning Postulates and Paragraph Proofs Algebraic Proof Proving Segment Relationships Proving Angle Relationships Parallel Lines and Transversals Angles and Parallel Lines Slopes of Lines Equations of Lines Proving Lines Parallel Perpendiculars and Distance Classifying Triangles Unit Two – Reasoning and Proof Unit Three – Parallel and Perpendicular Lines Unit Four – Congruent Triangles Angles of Triangles Congruent Triangles Proving Triangles Congruent Isosceles and Equilateral Triangles Congruent Transformations Triangles and Coordinate Proof Bisectors of Triangles Medians and Altitudes of Triangles Inequalities in One Triangle Indirect Proof The Triangle Inequality Inequalities in Two Triangles Angles of Polygons Parallelograms Tests for Parallelograms Rectangles, Rhombi, Squares, Trapezoids and Kites Ratios and Proportions Similar Polygons Similar Triangles Parallel Lines and Proportional Parts Parts of Similar Triangles Similarity Transformations Scale Drawings and Models Geometric Mean The Pythagorean Theorem and Its Converse Special Right Triangles Trigonometry Angels of Elevation and Depression The Law of Sines and Law of Cosines Vectors Reflections Translations Unit Five – Relationships in Triangles Unit Six – Quadrilaterals Unit Seven – Proportions and Similarity Unit Eight – Right Triangles and Trigonometry Unit Nine – Transformation and Symmetry Rotations Compositions of Transformations Symmetry Dilations Circles and Circumference Measuring Angles and Arcs Arcs and Chords Inscribed Angles Secants, Tangents, and Angle Measures Special Segments in a Circle Equations of Circles Areas of Parallelograms and Triangles, Trapezoids, Rhombi and Kites Areas of Circles and Sectors Areas of Regular Polygons and Composite Figures Areas of Similar Figures Representations of Three- Dimensional Figures Surface Areas of Prisms and Cylinders, Pyramids and Cones Volumes of Prisms and Cylinders, Pyramids and Cones Surface Areas and Volumes of Spheres Spherical Geometry Congruent and Similar Solids Representing Sample Spaces Probability with Permutations and Combinations Geometric Probability Simulations Probabilities of Independent and Dependent Events Probabilities of Mutually Exclusive Events Unit Ten – Circles Unit Eleven – Areas of Polygons and Circles Unit Twelve – Extending Surface Area and Volume Unit Thirteen – Probability and Measurement