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Geometry Syllabus 2016-2017 First Six Weeks Treasure Map Project – Basic Constructions Patterns, Inductive Reasoning, and Conjectures Conditional Statements Bi-conditional Statements and Definitions Deductive Reasoning Conditional Statement Project – Book Algebraic Reasoning and Proof Points, Lines, and Planes Measuring Segments Measuring Angles Exploring Angle Pairs Basic Constructions: congruent segments and angles, bisecting segments and angles Second Six Weeks Treasure Map Project – Basic Construction Project Geometric Reasoning and Proof Proving Angles Congruent Lines and Angles Properties of Parallel Lines Proving Lines are Parallel Equations of Lines in a Coordinate Plane Slopes of Parallel and Perpendicular Lines Non Euclidean Geometry Parallel Lines and Triangles Constructing Parallel and Perpendicular Lines Third Six Weeks Map Project – Construction of Parallel and Perpendicular Lines Congruent Figures Using Corresponding Parts of Congruent Figures Triangle Congruence Congruence in Right Triangles Congruence in Overlapping Triangles Fast Food Factory – Construction of Congruent Triangles Midsegments of Triangles Perpendicular and Angle Bisectors Medians and Altitudes Bisectors in Triangles Inequalities in One Triangles Inequalities in Two Triangles Fourth Six Weeks Polygon Angle-Sum Theorem Properties of Parallelograms Proving a Quadrilateral is a Parallelogram Properties of Rhombuses, Rectangles, and Squares Trapezoids and Kites Midpoint and Distance in a Coordinate Plane Polygons in a Coordinate Plane Applying Coordinate Geometry Proofs Using Coordinate Geometry Translations Reflections Rotations Symmetry Rigid Transformations Congruence Transformations Dilations Other Non-Rigid Transformations Dilation Project – Constructing Dilations Similar Polygons & Transformations Proving Triangles Similar Similarity in Right Triangles Fifth Six Weeks Proportions in Triangles Pythagorean Theorem and Its Converse Special Right Triangles Trigonometry Angle of Elevation and Depression Flag Pole Project – using Geometric methods to calculate the height of a pole Circles and Arcs Areas of Circles and Sectors Radian Measure Circles in a Coordinate Plane Tangent Lines Chords and Arcs Sixth Six Weeks Inscribed Angles in Circles Angle Measures and Segment Lengths in Circles Areas of Polygons Perimeters and Areas of Similar Polygons Area of Regular Polygons Trigonometry and Area Three Dimensional Cross Sections Surface Areas of Solids Volumes of Solids Surface area and Volumes of Spheres Experimental and Theoretical Probability Geometric Probability Permutations and Combinations Compound Probability