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SMCPS Course Syllabus Course: Geometry Standard Course Number: Dates Covered: August 2010 - June 2011 Course Duration: Text Resources: Geometry Concepts and Skills, McDougal Littel (2008) Year Long Supplemental Resources: Scope and Sequence Marking Unit Period 1 Basics of Geometry 1 Segments and Angles 1-2 Parallel and Perpendicular Lines 2 Transformations Learning Targets Finding and Describing Patterns Inductive Reasoning Points, Lines, and Planes Sketching Intersections Segments and Their Measures Angles and Their Measures Segment Bisectors Angle Bisectors Complementary and Supplementary Angles Vertical Angles If-Then Statements and Deductive Reasoning Properties of Equality and Congruence Relationships Between Lines Theorems About Perpendicular Lines Angles Formed by Transversals Showing Lines are Parallel Using Perpendicular and Parallel Lines Translations Instructional Resources (e.g., Text and Chapters), POW Text Chapter 1 Text Chapter 2 Text Chapter 3 Text Chapter 3, Section 3.7 Key Vocabulary Classroom Assessments Key vocabulary to be developed Weekly quizzes? Team problems? etc. 2 Triangle Relationships 2 Congruent Triangles 2 Constructions 2-3 Quadrilaterals 3 Similarity 3 Right Triangles and Trigonometry Reflections and Symmetry Rotations Classifying Triangles Angle Measures of Triangles Isosceles and Equilateral Triangles Pythagorean Theorem and the Distance Formula Converse of the Pythagorean Theorem Medians of a Triangle Triangle Inequalities Congruence and Triangles Proving Triangles are Congruent: SSS and SAS Proving Triangles are Congruent: ASA and AAS Hypotenuse Leg Congruence Theorem: HL Using Congruent Triangles Angle Bisectors and Perpendicular Bisectors Angles Bisectors of a Triangle Perpendicular Bisectors of a Triangle Medians of a Triangle/Centroid Polygons Properties of Parallelograms Showing Quadrilaterals are Parallelograms Rhombuses, Rectangles, and Squares Trapezoids Reasoning About Special Quadrilaterals Ratio and Proportions Similar Polygons Showing Triangles are Similar: AA Showing Triangles are Similar: SSS and SAS Proportions and Similar Triangles Dilations Simplifying Square Roots 45-45-90 Triangles 30-60-90 Triangles Tangent Ratio Text Chapter 5, Section 5.6 Text Chapter 11, Section 11.8 Text , Chapter 4 Text, Chapter 5 Supplement Text, Chapter 6 Text , Chapter 7 Text , Chapter 10 3 3-4 4 4 Polygons and Area Surface Area and Volume Right Triangles and Trigonometry Circles Sine and Cosine Ratios Solving Right Triangles Classifying Polygons Angles in Polygons Area of Squares and Rectangles Area of Triangles Area of Parallelograms Area of Trapezoids Circumference and Area of Circles Solid Figures Surface Area of Prisms and Cylinders Surface Area of Pyramids and Cones Volumes of Prisms and Cylinders Volume of Pyramids and Cones Surface Area and Volume of Spheres Simplifying Square Roots 45-45-90 Triangles 30-60-90 Triangles Tangent Ratio Sine and Cosine Ratios Solving Right Triangles Parts of a Circle Properties of Tangents Arcs and Central Angles Arcs and Chords Inscribed Angles and Polygons Properties of Chords Equations of Circles Rotations Text, Chapter 8 Text, Chapter 9 Text, Chapter 10 Text, Chapter 11 Grading Elements Weight Grading Element Example Evidence of Learning Frequency