GEOMETRY LEVEL 1 - COURSE SYLLABUS
TEACHER: Ms. Stirling ROOM: C-13
PHONE: 610.847.5131 x2335 EMAIL: firstname.lastname@example.org
SCHEDULE: Meets daily for one semester.
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+.
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
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
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
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%
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
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
If you miss class to participate in a school-approved trip or activity, the assignment is still due. (Student
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.
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.**