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Transcript
Geometry Syllabus
2013 - 2014 School Year ~ Semester I
Teacher: Ms. Kimberly Schulze
Email: [email protected]
Room: 077
Website: http://sites.google.com/site/PirateAngles
School Phone: 206-631-6700
Online Gradebook: Illuminate
Welcome to Geometry!
Geometry (from the Greek “geo” (earth) and “meter” (to measure), is the field within mathematics that focuses on visual patterns.
We’ll be constructing and drawing A LOT this year; if you like art, this may be your favorite math course ever! We will study familiar
topics such as area, perimeter, and volume, while also exploring new ideas in deductive reasoning, proof, similarity and congruence,
transformations, and coordinate geometry. We will look for practical applications of geometry all around us, and we will talk to
people who use geometric principles in their work each day. Each person in this class has the ability to master the basic principles of
geometry and be successful in this class. This syllabus is intended to help all of us have the most successful year possible; please
familiarize yourself with the following procedures and guidelines.
The following mathematical standards will be met throughout the first semester:
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G.Co.A.1. Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment based on undefined notions of
point, line, and distance along line segment and circular arc.
G.Co.B.7 Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if
corresponding pairs of sides and corresponding pairs of angles are congruent.
G.Co.B.6 Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a given
figure; given two figures, use the definition of congruence in terms of rigid motions to decide if they are congruent.
G.Co.D.12 Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective
devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an
angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a
given line through a point not on the line.
G.C.A.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in
a circle.
G.C.A.2 Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central,
inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the
tangent where the radius intersects the circle.
G.Co.A.3 Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.
G.Co.A.2 Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as
functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and
angle to those that do not (e.g., translation versus horizontal stretch).
G.Co.A.4 Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines,
and line segments.
G.Co.A.5 Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using, e.g., graph paper,
tracing paper, or geometry software. Specify a sequence of transformations that will carry a given figure onto another.
Standards of Practice 3: Construct viable arguments and critique the reasoning of others: Uses theorems, postulates, and definitions to
justify reasoning.
(from current state standards- expires june 2014, but is still on the Benchmark assessments) G.1D Write the converse, inverse, and
contrapositive of a valid proposition and determine their validity.
G.Co.C.9 Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel
lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line
segment are exactly those equidistant from the segment’s endpoints.
G.Co.D.13 Construct an equilateral triangle, a square, and regular hexagon inscribed in a circle.
G.GPE.B.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance
formula.★
G.GPE.B.5 Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the
equation of a line parallel or perpendicular to a given line that passes through a given point).
G.Co.B.8 Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of
rigid motions.
G.Co.C.10 Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of
isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the
length; the medians of a triangle meet at a point.
G.Co.C.11 Prove theorems about parallelograms. Theorems include: opposite sides are congruent, opposite angles are congruent, the
diagonals of a parallelogram bisect each other, and conversely, rectangles are parallelograms with congruent diagonals.
Schulze Syllabus
Geometry ~ Semester 1, 2013 – 2014
Geometry Syllabus
2013 - 2014 School Year ~ Semester I
SUPPLIES:, graph paper, pencils, ruler, 3-ring binder, highlighter, calculator (scientific or graphing), compass, protractor.
CORE VALUES: Persistent, Responsible, Engaged, Positive, Respectful
CLASSROOM RULES:
 Respect learning of yourself and class members.
 Maintain a safe learning environment.
 Follow directions of all adults.
GRADES:
Grades will be determined by student mastery of the performance standards. For each standard, students will receive a
numerical score from 0 to 4, based on their mastery of the standard. The score may be based on homework, classwork,
tests, presentations, and computer lab projects. Students may improve their grade on any standard by re-taking a test or
assessment IF their homework for that standard is complete. While homework may not always be used to assess a
standard, it will be recorded and posted online so students have a record of their practice. Final grades will be the
average of all standards studied during the grading period. Letter grades will be assigned as follows:
Grade (out of 4)
A (3.5 - 4)
B (3)
C (2.5)
F (0)
Percentage
87.5-100%
75 – 87.499%
62.5 – 74.499%
0 - 62.499%
Passing the course requires a final grade of A, B, or C.
LEADERSHIP
All students are expected to be involved in class leadership opportunities throughout the year. These involve but are not
limited to: leading a class discussion, presenting group findings, leading a class meeting, or teaching a lesson.
ACTIVITIES: Success in geometry starts with ACHIEVE. Different types of activities have different expectations for
what students need to do to demonstrate learning.
Speaker-Directed Instruction
Seatwork
 Teacher Instruction
 Entry or Exit Task
 Individual/Group Presentations
 Skill Practice
Group Work: Activities
 Activity Analysis/Reflection
TARDY TO CLASS: If you class after the bell rings, then you are tardy and must present a slip from the attendance
office. If you arrive to class more than 10 minutes late, this is counted as an unexcused absence.
ABSENCES: All work must be made up in the case of an absence.
ELECTRONICS: Cell phones must be silent and stored out of sight during schools hours between 7:25 am – 2:05 pm or
risk confiscation. See Ms. Schulze to use the class phone.
FOOD: Food must be stored in the backpack or out of student reach during after the first 10 minutes of class.
CONSEQUENCES FOR CLASSROOM RULES VIOLATIONS:
 Verbal Warning
 Owe time after class
 Detention after school (15 minutes, 30 minutes for missed appointment)
& Parental Contact
 Administrative Referral
Consequences for Responsibilities and Rights Violations: If a student breaks a rule that is covered by the Responsibilities
and Rights of Highline Public Schools, the situation must be referred an administrator.
Schulze Syllabus
Geometry ~ Semester 1, 2013 – 2014
Geometry Syllabus
2013 - 2014 School Year ~ Semester I
Geometry Syllabus Contract
Directions: Please sign and return this page to Ms. Schulze in Room 073 by Friday, September 6, 2013. Note to parents: I will use
the email you give me here to create distribution lists for contacting you about what we are doing in class. Please give me your
email addresses one more time, even if you have already given them to the main office.
Date: ____________________________
Dear Ms. Schulze: By signing below we acknowledge that we have read and clearly understand the information and policies
included in this Geometry Course Syllabus. We also give permission for this student’s work to be posted on the class website,
as long as all identifying information has been removed. We will contact you if we have any questions.
Parent Contact Information:
Email Address: _______________________________________________________________
Parent/guardian’s printed name: ___________________________________________________
Signature ________________________________________ cell phone #:___________________
Is there anything you think I need to know about your son/daughter/ward? Please write your comments here (or email me at
[email protected]) :
____________________________________________________________________________________________________________
____________________________________________________________________________________________________________
____________________________________________________________________________________________________________
____________________________________________________________________________________________________________
____________________________________________________________________________________________________________
Student’s printed name: ________________________________________________________________________________________
Signature ___________________________________________________________________________________________________
Student’s email: _____________________________________________________________________________________________
Student’s cell phone number: ___________________________________________________________________________________
Schulze Syllabus
Geometry ~ Semester 1, 2013 – 2014