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Geometry Syllabus 2016-2017
First Six Weeks
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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
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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
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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
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Perpendicular and Angle Bisectors
Medians and Altitudes
Bisectors in Triangles
Inequalities in One Triangles
Inequalities in Two Triangles
Fourth Six Weeks
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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
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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
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Radian Measure
Circles in a Coordinate Plane
Tangent Lines
Chords and Arcs
Sixth Six Weeks
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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
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