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Homewood-Flossmoor
Community High School District 233 999 Kedzie Ave., Flossmoor, IL 60422 (708) 799-3000 |
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College Prep Geometry Course Syllabus
Course Name: College Prep
Geometry
III Course Goals 1. Students will study the basic concepts and properties of geometry. 2. Students will solve and prove congruent triangles. 3. Students will expand their knowledge of parallel lines. 4. Students will explore and discover properties of polygons and similar polygons. 5. Students will study and apply the Pythagorean theorem. 6. Students will study and apply properties of circles. 7. Students will expand their knowledge of area and find surface area and volume of three-dimensional objects.
IV Textbooks and Materials
V Course Outline First Semester – Units of Instruction and Assessments Unit One - Basics of Geometry Patterns and Inductive Reasoning Points, Lines, and Planes Segments and Their Measures Angles and Their Measures Segment and Angle Bisectors Angle Pair Relationships
Unit Two - Reasoning and Proof Conditional Statements Definitions and Biconditional Statements Deductive Reasoning Reasoning with Properties from Algebra Proving Statements about Segments Proving Statements about Angles
Unit Three - Perpendicular and Parallel Lines Lines and Angles Proof and Perpendicular Lines Parallel Lines and Transversals Proving Lines are Parallel Using Properties of Parallel Lines Parallel Lines in the Coordinate Plane Perpendicular Lines in the Coordinate Planes
Unit Four - Congruent Triangles Triangles and Angles Congruence and Triangles Proving Triangles are Congruent: SSS and SAS Proving Triangles are Congruent: ASA and AAS Using Congruent Triangles Isosceles, Equilateral, and Right Triangles Triangles and Coordinate Proof
Unit Five – Properties of Triangles Perpendiculars and Bisectors Medians and Altitudes of a Triangle Midsegment Theorem Inequalities in One Triangle
Unit Six - Quadrilaterals Properties of Parallelograms Proving Quadrilaterals are parallelograms Rhombuses, Rectangles, and Squares Trapezoids and Kites Special Quadrilaterals Area of Polygons and Circles
Major Assessments: Second Semester Units of Instruction and Assessments: Unit Seven - Similarity Ratio and Proportion Problem Solving in Geometry with Proportions Similar Polygons Similar Triangles Proving Triangles are Similar Proportions and Similar Triangles
Unit Eight - Right Triangle and Trigonometry Similar Right Triangles The Pythagorean Theorem The Converse of the Pythagorean Theorem Special Right Triangles Trigonometric Ratios Solving Right Triangles
Unit Nine - Circles Tangents to Circles Arcs and Chords Inscribed Angles Other Angle Relationships in Circles Segment Lengths in Circles Equations of Circles Area of Polygons and Circles (11.4)
Unit Ten - Area of Polygons and Circles Introduction to Perimeter, Circumference, and Area Areas of Triangles and Quadrilaterals Areas of Regular Polygons Perimeters and Areas of Similar Figures Areas of Circles and Sectors Geometric Probability
Unit Eleven - Surface Area and Volume Exploring Solids Surface Area of Prisms and Cylinders Surface Area of Pyramids and Cones Volume of Prisms and Cylinders Volume of Pyramids and Cones Surface Area and Volume of Spheres Similar Solids
Unit Twelve - Transformations Rigid Motion in a Plane Reflections
Major Assessments:
(Parents and students: please consult individual teachers for grading policies, extra credit info, class procedures, etc.)
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