Download Course Outline - Palisades School District

GEOMETRY LEVEL 2 - COURSE SYLLABUS
Spring 2013
TEACHER: Mr. Danley
PHONE: 610.847.5131 x2306
ROOM: C-12
EMAIL: [email protected]
MATERIALS:
1. Text: Discovering Geometry, An Inductive Approach, Michael Serra, Key Curriculum Press, 2008.
Supplies: A notebook with lined paper, pencil, eraser, and a graphing calculator.
Calculator: Any scientific calculator will be sufficient. The TI-83 or TI-84 is recommended for most math classes.
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;
coordinate geometry; and applications of geometry to angle measure, distance, area, volume problems and
problem solving.
TITLES OF UNITS:
0. Geometric Art
 Line Designs
 Circle Designs
 Op Art
1. Introduction to Geometry
 Building Blocks of Geometry
 Defining terms, figures, symbols
 Basic Properties of polygons, triangles, quadrilaterals and circles
2. Reasoning in Geometry
 Inductive/ Deductive reasoning and finding the nth term in number and picture patterns
 Creating mathematical models using geometric and algebraic expressions
 Parallel lines, angle relationships
3. Using tools of Geometry
 Geometric construction of angles, segments, perpendiculars, perpendicular bisectors, angle bisectors,
and parallel lines
4. Discovering and Proving Triangle Properties
 Properties of triangles (angles and triangle inequalities)
 Properties of isosceles triangles
 Triangle congruence properties
 Proof and flowchart proofs
5. Discovering and Proving Polygon Properties
 Polygon sum conjecture, Exterior angles of a polygon
 Trapezoid properties, Midsegments
 Properties of parallelograms
6. Discovering and Proving Circle Properties
 Basic terms: circles, chords, radii, diameter, secants and tangents
 Properties of tangents, chords, secants, arcs and angles
 Circumference
 Arc length
Midterm Review and Midterm Exam
7. Area
 Area and perimeter of polygons and circles
 Arc lengths and areas of sectors
 Area and perimeter of similar figures
 Surface Area
 Maximizing area
8. Pythagorean Theorem
 The theorem of Pythagoras and its converse
 Isosceles right triangles, 30-60-90 triangles
9. Volume
 Area and volumes of prisms, pyramids, cylinders, cones and spheres
 Area and volumes of similar solids
10. Similarity
 Similar polygons and triangles
 Indirect measurement with similar triangles
Final Review and Final Exam
EVALUATION:
Quarter Grade:
Course Grade:
Test, Quizzes, and Performance Tasks: 70%
Homework/Class work: 30%
First Quarter: 40%
Second Quarter: 40%
Exams (Midterm and/or Cumulative Final): 20%
CLASSROOM POLICIES:
 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).
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.
Half credit: Partially done, with at least half completed.
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.**