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Common Core Geometry
Teacher: Mr. Tracz
Room #: 308
Phone: 842-6289 ext# 355
E-mail: [email protected]
OFFICE HOURS
Monday – Friday, before 7:45am, and after 3:30pm
*You are welcome to come to 9th period as well.
TEXTBOOK:
None, The course learnings and review will be done through guided notes and problem sets.
COURSE DESCRPTION:
In this second year of the Common Core High School Track, students have the opportunity to extend
their mathematical knowledge beyond that was learned in Foundations of Math and Common Core
Algebra in a way that will prepare them for the introduction to Common Core Advanced Algebra.
Students will be provided the opportunity to develop their analytical and problem solving skills and to
solve problems in mathematical and real-world settings. Graphing calculators are required for students’
use in plotting functions, analyzing data, calculating probabilities, experimenting with Trigonometric
ratios and simulating experiments. Completion of this sequence prepares a student for further work in
pre-calculus in their senior year and also prepares them any college math course.
In short, although there are many types of geometry, this course will explore Euclidean geometry (in
the plane), both with (analytically) and without coordinates (synthetically). Topics covered in this
course will be diverse; from estimating the amount of wood needed to frame a sloping roof to
proving an essential property like the Pythagorean Theorem, experimental and modeling tools
and tactics will allow the investigation of these geometric phenomena.
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COURSE DESCRPTION:
Unit #1 – Constructions
-Knowing and using angles, circles,
perpendicular and parallel lines and being
able to create geometric “staples” using a
compass
-Proving theorems about lines and angles,
including vertical angles are congruent,
transversal theorems, and perpendicular
bisectors.
Unit #2 – Unknown Angles
Unit #3 – Transformations and Rigid Motions
-Understand how transformations are
functions that input and output coordinate
points and or shapes.
-Develop working definitions for Rotations,
Reflections, Translations, and Dilations.
-Show how multiple transformations can
map objects onto itself to prove congruence
in reflections and rotations.
Unit #4 – Congruence/Proving Properties and
Advanced Constructions
-
Prove theorems about congruence
in triangles (ASA AAS SAS SSS HL).
-Describe special properties in the
triangles (Mid-segments, Medians,
Concurrency).
-Use Dilations and Scale factors to explore
transformations.
-Use AA Similarity to explain Dilations and
similarity between triangles with congruent
angles.
-Use Similarity to solve for missing
information in right triangles and verify
similarity.
-Understand the relationship between sine
and cosine of complimentary angles.
-Use Geometric Terms to describe physical
objects and apply concepts of area and
volume to model mathematically.
-Determine the volume and areas of a
cylinder, cone, pyramid, and circle.
- Use the Distance, Midpoint, and Slope
formulas to prove or disprove previously
learned theorems about shapes and
properties of shapes.
-Prove all circles are similar and identify
relationships among radii, diameters,
inscribed angles, tangents, secants, and other
“accepted” properties of circles.
Unit #5 – Triangle Similarity
Unit #6-Triangle Trigonometry
Unit #7-Problem Solving
Unit #8 - Solids
Unit #9 –Algebra and Coordinate Proofs
Unit #10 - Circles
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COMPETENCIES: Students must have successfully completed Common Core Algebra and passed the
State Exam with it.
TESTING/MEANS OF EVALUATION:
Final grades will be determined according to the following grading policy:
1. Exams/Essay/Projects-35%
= 100 points (each)
2. Quizzes-20%
= 25 points (each)
3. Homework-20%
= 5 points (each)
4. Participation-15%
= 50 points
5. Classwork/Weeklys-10%
= 50 points
 A minimum of 20 grades and 400 points are required per marking period.
 The Final Exam will be added to the 4 marking periods to determine the Final Average.
 An exam is required, this exam is a standalone grade and will not count towards the Final
Average.
 “Weeklys” will be distributed and collected on Fridays and will be comprised of topics we
have previously covered. THESE ARE MANDATORY!
 If a student fails a test, they may be asked to stay for 9th period at the teacher’s discretion.
GRADING DETERMINATION:
A = 90 – 100
B = 80 – 89
C = 70 - 79
D = 65 - 69
F = < 64
ATTENDANCE:
The school believes that classroom participation is related to and affects a student's performance and grasp of the subject
matter and, as such, is properly reflected in a student's final grade. For purposes of this policy, classroom participation
means that a student is in class and prepared to work.
Consequently, for each marking period, a certain portion of a student's final grade will be based on classroom
participation as well as the student's performance on homework, tests, papers, projects, etc. as determined by the building
administrator and/or classroom teacher.
Students are expected to attend all scheduled classes. Consistent with the importance of classroom participation,
unexcused student absences, tardiness, and early departures will affect a student's grade, including credit for classroom
participation, for the marking period.
As a requisite part of course completion in order to obtain credit and gain admission to final examinations,
students must not miss more than 8 days of class in a semester course or 16 days of class in the school year due to
unexcused absence.
Transfer students and students re-enrolling after having dropped out will be expected to attend a prorated minimum
number of the scheduled class meetings during their time of enrollment.
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***Students at Maritime are preparing to be young adults and for College. In College when you are absent your
teacher will not seek you out to “catch you up” due to your absences. When a student’s is absent it is THERE
responsibility to get the notes (from a classmate or me), the assignment (which will be in a folder in the back of the
room), and other information they may need from class.
MATERIALS NEEDED:
 Pen/Pencil.
 3 Ring Notebook with dividers.
 College rule 3 hole punched paper.
 Texas Instruments Scientific/Graphing Calculator (TI-84 Plus) – calculator is provided for cadets
during class period time. Cadets may need to purchase a scientific calculator for any homework
given and eventually is needed for college.
Parents/Guardians: After you have read this, please sign and return this portion of it to class by Friday. (Please
keep my contact information.)
X________________________________________
Name:____________________________________
Phone Number:______________________________
e-mail:_____________________________________
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