GEOMETRY SKILLS
COURSE SYLLABUS
INSTRUCTOR:
Mr. Rick Stoutamyer
Seneca High School
Phone: 824-3400 Ext 5542
Email: rick.stoutamyer@wattsburg.org
CREDIT:
1.0
DESCRIPTION: This course will prepare students with the skills necessary to master the
content of the Pennsylvania Department of Education Standards for Geometry. Emphasis will be
placed on geometric concepts that include essentials of geometry, reasoning and proof, parallel and
perpendicular lines, congruent triangles, relationships within triangles, similarity, right triangles and
trigonometry, quadrilaterals, properties of transformations, properties of circles, measuring length and
area, and surface area and volume of solids. Practice testing will be incorporated using the Classroom
Diagnostic Tools testing format. Students will develop a better understanding of geometric concepts
as they apply to Pennsylvania State Standards. In addition, this course will broaden the curriculum of
study and emphasize key concepts required by the Pennsylvania Department of Education
Mathematics Curriculum.
OBJECTIVES:
After completing the course, students will be able to:
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Calculate the distance and/or midpoint between two points on a number line or on a
coordinate plane.
Measure and/or compare angles in degrees (up to 360).
Find the measurement of a missing length given the perimeter, circumference, area or
volume.
Analyze data and/or answer questions based on displayed data.
Apply the formula for the slope of a line to solve problems.
Identify properties of triangles (medians, altitudes, angle bisectors, side/angle relationships,
Triangle Inequality Theorem).
Identify and/or use proportional relationships in problem solving settings.
Identify and/or use properties of congruent and similar polygons or solids.
Find the measure of a side of a right triangle using the Pythagorean Theorem.
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Identify and/or use properties of triangles.
Use estimation to solve problems.
Identify and/or use properties of quadrilaterals.
Identify and/or use proportional relationships in problem solving settings.
Identify and/or use the properties of a radius, diameter, and/or tangent of a circle.
Identify and/or use the properties of arcs, semicircles, inscribed angles, and/or central
angles.
Calculate the surface area of prisms, cylinders, cones, pyramids, and/or spheres.
Calculate the volume of prisms, cylinders, cones, pyramids, and/or spheres.
GEOMETRY SKILLS
Course Content and Units
A. Essentials of Geometry
1. Identify Points, Lines, and Planes
2. Use Segments and Congruence
3. Use Midpoint and Distance Formulas
4. Measure and Classify Angles
5. Describe Angle Pair Relationships
6. Classify Polygons
7. Find Perimeter, Circumference, and Area
B. Reasoning and Proof
1. Use Inductive Reasoning
2. Analyze Conditional Statements
3. Apply Deductive Reasoning
4. Use Postulates and Diagrams
5. Reason Using Properties from Algebra
6. Prove Statements about Segments and Angles
7. Prove Angle Pair Relationships
C. Parallel and Perpendicular Lines
1. Identify Pairs of Lines and Angles
2. Use parallel Lines and Transversals
3. Prove Lines are Parallel
4. Find and Use Slopes of Lines
5. Write and Graph Equations of Lines
6. Prove Theorems about Perpendicular Lines
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D. Congruent Triangles
1. Apply Triangle Sum Properties
2. Apply Congruence and Triangles
3. Prove Triangles Congruent by SSS
4. Prove Triangles Congruent by SAS and HL
5. Prove Triangles Congruent by ASA and AAS
6. Use Congruent Triangles
7. Use Isosceles and Equilateral Triangles
8. Perform Congruence Transformations
E. Relationships within Triangles
1. Midsegment Theorem and Coordinate Proof
2. Use Perpendicular Bisectors
3. Use Angle Bisectors of Triangles
4. Use Medians and Altitudes
5. Use Inequalities in a Triangle
6. Inequalities in Two Triangles and Indirect Proof
F. Similarity
1. Ratios, Proportions, and the Geometric Mean
2. Use Proportions to Solve Geometry Problems
3. Use Similar Polygons
4. Prove Triangles Similar by AA
5. Prove Triangles Similar by SSS and SAS
6. Use Proportionality Theorems
7. Perform Similarity Transformations
G. Right Triangles and Trigonometry
1. Apply the Pythagorean Theorem
2. Use the Converse of the Pythagorean Theorem
3. Use Similar Right Triangles
4. Special Right Triangles
5. Apply the Tangent Ratio
6. Apply the Sine and Cosine Ratios
7. Solve Right Triangles
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H. Quadrilaterals
1. Find Angle Measures in Polygons
2. Use Properties of Parallelograms
3. Show that a Quadrilateral is a Parallelogram
4. Properties of Rhombuses, Rectangles, and Squares
5. Use Properties of Trapezoids and Kites
6. Identify Special Quadrilaterals
I. Properties of Transformations
1. Translate Figures and Use Vectors
2. Use Properties of Matrices
3. Perform Reflections
4. Perform Rotations
5. Apply Compositions of Transformations
6. Identify Symmetry
7. Identify and Perform Dilations
J. Properties of Circles
1. Use Properties of Tangents
2. Find Arc Measures
3. Apply Properties of Chords
4. Use Inscribed Angles and Polygons
5. Apply Other Angle Relationships in Circles
6. Find Segment Lengths in Circles
7. Write and Graph Equations of Circles
K. Measuring Length and Area
1. Areas of Triangles and Parallelograms
2. Areas of Trapezoids, Rhombuses, and Kites
3. Perimeter and Area of Similar Figures
4. Circumference and Arc Length
5. Areas of Circles and Sectors
6. Areas of Regular Polygons
7. Use Geometric Probability
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L. Surface Area and Volume of Solids
1. Explore Solids
2. Surface Area of Prisms and Cylinders
3. Surface Area of Pyramids and Cones
4. Volume of Prisms and Cylinders
5. Volume of Pyramids and Cones
6. Surface Area and Volume of Spheres
7. Explore Similar Solids
Grades
Grading Scale
93 – 100%
85 – 92
77 – 84
70 – 76
75 – 0
A
B
C
D
F
Final Course Grade
First Marking Period
Second Marking Period
Course Final
40 %
40%
20%
Total
100%
Student Evaluation
Level
Marking Percentage
Level 1
Chapter Tests
Quizzes
Independent Projects
65%
Class Lessons
Group Activities
25%
Homework
Outside work
10%
Level 2
Level 3
TOTAL
100%
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You are encouraged to keep track of your own grades during
the grading period. Any discrepancies between your records
and information provided in progress reports should be
discussed immediately. It is also suggested that all graded
assignments (Level 1 & 2) be returned and filed in your class
assessment folder for future reference.
Missed Classes
MAKE UP WORK IS YOUR RESPONSIBILITY. I will not track you down and beg for
work missed. Be sure to read your student handbook about absences and suspensions. I am
available by appointment in the morning and after school. It may be wise to make use of
homeroom time to meet with me so that “WE” can catch you up.
Notes
Note taking is not required for this course. Your book and notes will be your study guides.
You should maintain a folder for all materials not found in the books. Hard copies of notes
and guided notes will be provided as per your IEP.
Environment
We are here for a reason and I expect us to work together to achieve our purpose. For many
of you, the credits you earn for Geometry Skills A and B are required for graduation. You
should strive to achieve a mastery level of geometry high enough to pass both the course and
CDT examinations. You need to be respectful of yourself, your fellow students and the
teacher. You need to be on time, ready to participate and prepared for class (Items with younotebook, pencil, text, work, etc.).
Behavior that is disrespectful or interferes with the learning experience of others is not
acceptable. Doing work for other classes, arranging your social life, sleeping, discussing extracurricular activities, or distracting others during class is highly inappropriate. Please make sure
you understand the student handbook for all other rules and expectations.
Supplies
You should arrive for each class prepared with a pencil or pen, your textbooks, a calculator,
and paper or a notebook.
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Extra Credit
There will NOT be extra-credit offered for this course. However, you may redo any
assignment or retake any test or quiz by scheduling time with me during homeroom or after
school. This is by appointment only.
Extra Help
I am available in the mornings during homeroom and after school to work together to help
you learn the material. Please do not wait until a day or two before the test or towards the
end of the semester and expect a miracle. This is by appointment only. This material is
challenging! You will need to study and put in the time.
Graduation
Passing the Geometry Skills class will earn you one credit toward graduation. I will put in as
much time as you do to make you successful. I will stay after if you do. I will help you if you
are really working at it! There is not an EASY OUT for this course. If you are in danger of not
passing the examinations, please come see me while there is time.
Electronic Devices
Please be aware there is a new clarification of the District policy regarding electronic devices.
If the device is seen or heard in the classroom, the teacher is required to confiscate it and send
it to the office. The device would be returned to the student only after a personal or
telephone conference with a parent. For students who are permitted through their IEP to
listen to music while testing, this music can only be played on an electronic device that does
NOT have the capability of recording sound, video, or pictures.
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Student Signature
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Parent Signature
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Teacher Signature
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