GEOMETRY LEVEL 1 - COURSE SYLLABUS
TEACHER: Mr. Reppert ROOM: 105
PHONE: 610.847.5131 x2323 EMAIL:
SCHEDULE: Meets daily for one semester.
MATERIALS:
Text: Discovering Geometry, An Inductive Approach, Michael Serra, Key Curriculum Press, 2008. 4th edition.
Supplies: A three-ring binder, lined paper, pencil, eraser, and a calculator. For drawing and constructions you will need a straightedge (or ruler), protractor and a compass. Purchase a good compass!
Calculator: You will need a basic calculator in geometry class; however, you will need your own graphing calculator for your algebra classes. I recommend TI-84, or TI-84+.
COURSE CONTENT:
DESCRIPTION OF COURSE:
The objective is to develop knowledge of geometry and its relationships to other mathematics systems. Students will develop and use the processes of inductive and deductive reasoning to affirm or deny conjectures. The course content includes the study of perpendicular and parallel lines; congruent polygons and similar polygons; right triangle properties; circles and related segments, lines, arcs and angles; construction and locus problems; and applications of geometry to angle measure, distances, area, volume problems and problem solving.
TITLES OF UNITS:
Ch 0. Geometric Art
· Line Designs, Circle Designs or Op Art
Ch 1. Introduction to Geometry
· Building Blocks of Geometry and Defining terms, figures, symbols.
· Basic Definitions and representations for polygons, triangles, quadrilaterals, circles and solids
Ch 2. Reasoning in Geometry
· Inductive/ Deductive reasoning and finding the nth term in number and picture patterns
· Creating mathematical models using geometric models and algebraic expressions
· Parallel lines and angle relationships
Ch 3. Using tools of Geometry
· Geometric construction of basic figures: duplicate sides & angles, bisectors and perpendiculars to a line
Ch 4. Discovering and Proving Triangle Properties
· Properties of triangles (angles and triangle inequalities)
· Properties of isosceles triangles
· Triangle congruence properties
· Proofs and flowchart proofs
Ch 5. Discovering and Proving Polygon Properties
· Polygon sum conjecture and exterior angles of a polygon
· Trapezoid properties
· Midsegments
· Properties of parallelograms
Midterm Review and Midterm Exam
Ch 6. Discovering and Proving Circle Properties
· Basic definitions: circles, chords, radii, diameter, secants and tangents
· Properties of tangents, chords, arcs and angles formed in circles
· Circumference and Arc length
Ch 8. Area
· Area and perimeter of polygons
· Area of circles and parts of circles
· Surface Area and nets
Ch 9. Pythagorean Theorem
· The theorem of Pythagoras and its converse
· Isosceles right triangles and 30-60-90 triangles
· Simplifying radicals
Ch 10. Volume
· Volumes of prisms, pyramids, cylinders, cones and spheres
· Problem solving with area and volume
Ch 11. Similarity
· Similar polygons and triangles
· Ratios and proportions with corresponding parts of similar triangles
· Indirect measurement with similar triangles
Final Review and Final Exam
EVALUATION:
Quarter Grade: Test, Quizzes, and Performance Tasks: 80%
Homework/Class work: 20%
Course Grade: First Quarter: 40%
Second Quarter: 40%
Exams (Midterm and/or Cumulative Final): 20%
CLASSROOM POLICIES:
· DO your classwork and homework to really learn the material, not just to get it done!!
· Help yourself and your classmates by fully participating in class and in your groups. Ask questions and explain your understanding of the concepts fully. Carefully check your work!
· A retest will be given only if you have maintained an A average on your homework in that chapter, you have come in for extra help, and you retest within 2 weeks of the original test. The highest score you can get on a retest is a 70%.
· Get help as soon as you start to struggle and be persistent in trying to gain a full understanding of the concepts.
· Absences, lateness, and plagiarism will be dealt with according to school policy. See your student handbook for details.
· If you miss class to participate in a school-approved trip or activity, the assignment is still due. (Student Handbook).
· Extra Help is available after school most days until 3:30pm in ROOM 109.
HOMEWORK POLICY:
Homework will be assigned regularly and is due the following day. Late homework will receive no credit. Work must be shown for each problem, answers only is not acceptable! Grades for homework will be determined as follows:
Full credit: All problems are completed and well explained.
Half credit: Partially done, with at least half completed or many explanations are missing.
No credit: Less than half has been attempted.
PORTFOLIO ENTRIES:
Projects and selected performance assessments all make great portfolio entries.
**Course content may vary from this outline to meet the needs of this particular group.**