Mr. Kelly s Geometry Syllabus

Transcription

1 Geometry Syllabus The following is a general description and an outline of the topics covered in a full year of geometry. The outline is broken into parts A and B to correspond to our trimesters. Steven Kelly St. Louis High School 113 E. Saginaw St. St. Louis, MI, (989) skelly@edzone.net web.mac.com/xcountry Calculators Each student is required to have their own calculator for class. A scientific calculator will work well for all topics in geometry. A graphing calculator will be required for future classes, but is not a requirement for geometry. Expectations Students are expected to take part in all aspects of classroom discussion and group work. Students are expected to be in class everyday. Students are expected to communicate mathematics in both written and verbal forms. Students are expected to explain concepts, results, and problems graphically, numerically, analytically, and verbally. Students are expected to have their own calculator. Students are expected to keep a notebook of class notes and homework problems. Students are expected to study geometry for minutes each night. Geometry-Syllabus 1

2 Grading Policy Grades for each trimester will be given on a points earned basis from the following: Class Participation Homework Tests Final Exam 300 Points 200 Points 500 Points 200 Points Letters grades will be assigned from the St. Louis High School Grade policy: 100% to 94% A 94% to 90% A- 90% to 87% B+ 87% to 84% B 84% to 80% B- 80% to 77% C+ 77% to 74% C 74% to 70 % C- 70% to 67% D+ 67% to 64% D 64% to 60% D- 60% to 0% F Primary Textbook Boyd, Cindy. Geometry, 1st ed. New York, NY: Glencoe/McGraw Hill, Geometry-Syllabus 2

3 St. Louis High School Mathematics Curriculum Geometry Geometry Part A Text Reference Chapter 1 Discovering Points, Lines, Planes, and Angles Points, Lines, Planes Using Formulas Measuring Segments and Angles Midpoints and Segment Congruence Exploring Angles Content expectations: L2.1.6, L3.1.1, G1.1.5, G1.1.6 Chapter 2 Connecting Reasoning and Proof Inductive Reasoning and Conjecturing If-Then Statements and Postulates Deductive Reasoning Using proofs in Algebra Geometry-Syllabus 3

4 Verifying Segment Relationships Verifying Angle Relationships Content Expectations: L4.1.1, L4.1.2, L4.1.3, L4.2.1, L4.2.2, L4.2.3, L4.2.4, L4.3.1, L4.3.2, L4.3.3, G1.1.1 Chapter 3 Using Perpendicular and Parallel Lines Parallel Lines and Transversals Angles and Parallel Lines Slope Proving Lines Parallel Content Expectations: G1.1.2 Chapter 4 Identifying Congruent Triangles Classifying Triangles Angles in Triangles Congruent Triangles Proving Triangles Congruent Content Expectations: G1.2.1, G2.3.1, G2.3.2 Geometry-Syllabus 4

5 Chapter 5 Applying Congruent Triangles Special segments in Triangles Right Triangles Indirect Proof and Inequalities Content Expectations: G1.2.5 Chapter 8 Applying Right Triangle and Trigonometry The Pythagorean Theorem and Radical Reduction Geometric Mean Ratios in Right Triangles Law of Sines/Cosines Content Expectations: L1.1.6, L2.1.6, G1.2.3, G1.2.4, G1.3.1, G1.3.2, G1.3.3 Constructions Copy segments Copy Angles Bisect Angles Perpendicular Bisector of Segments Construct Perpendicular Segments to a Line Construct Parallel o a Segment Content Expectations: G1.1.3, G1.1.4, G1.2.5 Geometry-Syllabus 5

6 Geometry Part B Text Reference Chapter 6 Exploring Quadrilaterals Parallelograms Rectangles Squares Rhombi Kites Trapezoids Content Expectations: G1.1.4, G1.4.2, G1.4.3, G1.4.4, G1.5.2 Chapter 7 Connecting Proportions and Similarity Similar Polygons Similar Triangles Content Expectations: G2.3.3, G2.3.4 Geometry-Syllabus 6

7 Chapter 9 Analyzing Circles Exploring Circles Angles and Arcs Arcs and Chords Inscribed Angles Tangents Secants, Tangents, and Angle Measures Content Expectations: G1.6.1, G1.6.2, G1.6.3 Chapter 10 Exploring Polygons and Area Polygons Tessellations Areas of Parallelograms Areas of Triangles, Rhombi and Trapezoids Areas of Regular Polygons and Circles Content Expectations: G1.2.2, G1.4.1, G1.5.1, G1.6.1, G1.6.4, G2.1.1, G2.1.2, G2.3.5 Chapter 11 Investigating Surface Area and Volume Exploring Three Dimensional Figures Geometry-Syllabus 7

8 Surface Area of Prisms, Cylinders, Pyramids, Cones, and Spheres Volume of prisms, Cylinders, Pyramids, Cones, and Spheres Content Expectations: G1.8.1, G1.8.2, G2.1.3, G2.2.1, G2.2.2 Chapter 12 Coordinate Geometry Graphing Linear equations Vectors Content Expectations: L1.2.3 Chapter 13 Locus Mapping Translations Dilations Rotations Content Expectations: G3.1.1, G3.1.2, G3.1.3, G3.2.1, G3.2.2 Geometry-Syllabus 8