Download Syllabus - Salesianum School

GEOMETRY - 423
2012 – 2013
Instructor: Mrs. Katie Godfrey
(302)654-2495 x 201
[email protected]
Website: http://faculty.salesianum.org/korga/
Book’s Website: www.pearsonsuccessnet.com
Course Description
Phase 3
1credit/full year
Grade 9, 10
Students will study postulates and theorems from Euclidean geometry, both from a theoretical and, when practical, an
applied sense. Topics covered include the undefined terms, logic, parallel and perpendicular lines, triangles, triangle
congruence and similarity, quadrilaterals and other polygons, inequalities, right triangles, basic trigonometry,
transformations, circles, areas, volumes, and probability. Proofs are also presented in each topic as a logical connection
between observation and conclusion. Upon completion of the course, the student should have a thorough working
knowledge of the importance and beauty of Euclid’s Geometry, as well as a stronger logical base that can be carried into
later math courses.
Text
Geometry Common Core
Pearson Prentice Hall, 2012
Assignments
Students will be assigned problems of varying difficulty – from the type “A” and “B” and some “C” exercises. Students
will also complete SAT/ACT prep problems.
Syllabus
First Quarter
Chapter 1: Tools of Geometry
Chapter 2: Reasoning and Proof
Chapter 3: Parallel and Perpendicular Lines
Third Quarter
Chapter 7: Similarity
Chapter 8: Right Triangles and Trigonometry
Chapter 9: Transformations
Second Quarter
Chapter 4: Congruent Triangles
Chapter 5: Relationships within Triangles
Chapter 6: Polygons and Quadrilaterals
Fourth Quarter
Chapter 10: Area
Chapter 11: Surface Area and Volume
Chapter 12: Circles
Final Exam
The final examination will be composed by the teacher and include questions based on the course objectives listed below
as well as questions that reflect those seen in the SATs.
Grading Policy
To calculate your quarter grade, simply divide the number of points you have earned by the total number of points that
you could have earned at that time in the quarter. Look at the resulting number:
A
100-92.5
B+
92-88.5
B
88-84.5
C+
84-80.5
C
80-76.5
D+
76-72.5
D
72-69.5
F
69-0
Your quarterly grade will be comprised of the following components:
√ GAMEDAY – Your tests will generally be free response and partial credit is awarded so it is best to show your
work. There will be an SAT oriented final exam.
√ SCRIMMAGES – Quizzes will also be free response, but can be unannounced.
√ PRACTICES – This includes class work, laboratories, and homework assignments. I will check your
homework each time it is assigned. For every four homeworks not completed a student’s grade level will drop. It
is always best to complete all assignments.
√ PARTICIPATION/SPORTSMANSHIP - Asking and answering questions during class will be noted. Board
work and group work will also be taken into account. This is based on focus, pride of work, ability to work with
others, being prepared, and contributing to discussions.
√ EXTRA POINT - There will be different projects and laboratories (Geometry Sketchpad – computer software)
assigned throughout the semester.
CLASSROOM POLICIES
 Salesian Standard: Your work in this class is your personal property. Academic integrity is the expectation of
every Salesianum student. Any student who jeopardizes this by plagiarism, cheating, or taking another’s work
will be held to the consequences of the Salesian Standard. Please see the Student Handbook for more
information.
 Failure Policy: Failure in the course can result in loss of eligibility for school activities. Any student who
has a failure for a final grade must make up that failure before moving on to the next year.
 Make-Up Policy: All tests and quizzes must be made up 48 hours upon your return from an absence
(barring exceptional circumstances). If not, a zero will be issued.
 If school is canceled (due to snow, etc.), whatever was planned on the canceled day will be done on the day we
come back (tests, quizzes, homework, etc.).
 To obtain information for the class please use NetClassroom. Homework assignments and powerpoints will be
posted. FAWeb/Netclassroom will be updated weekly with grades and upcoming tests/quizzes.
STUDENT RESPONSIBILITIES
 I promise to come to class PREPARED and expect the same from you. Bring your textbook, notebook,
PENCILS, and calculator to every class unless instructed otherwise.
 Students should write down all assignments and upcoming assessments in their Student Planbook.
Organization will lead to success!
 LATENESS will not be tolerated. You will have to go to the office to get a late pass, unless you have a note
from your last period's teacher. You should be in your seat when the bell rings with your homework out on your
desk.
 Be respectful and raise your hand to be called on. Do not talk or call out in class.
 Copy all notes from the board and powerpoints if you want to be successful!
 I am available for extra help from 7:45 to 8:05 am and 2:40 – 3:30 pm. Please come see me if you have any
questions!
TESTING POLICIES
 During tests and quizzes, I will not answer any questions pertaining to material on the test or quiz that
you should have studied! If you believe there is a typographical error, please raise your hand for me to
check it.
 There is absolutely no talking during a test or quiz.
 No one will be permitted to go to the bathroom during a test or quiz, except for absolute emergencies.
EXTENDED TIME STUDENTS
 If you choose to use extended time (per your accommodations), you must finish the test after school the same
day.
Course Objectives
On completion of this course, the student should be able to:
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To make nets and drawings of three-dimensional figures.
To understand basic terms and postulates of geometry.
To find and compare lengths of segments.
To find and compare measures of angles.
To identify special angle pairs and use their relationships to find angle measures.
To find the midpoint of a segment.
To find the distance between two points in the coordinate plane.
To find the perimeter or circumference of basic shapes.
To find the area of basic shapes.
To use inductive reasoning to make conjectures.
To recognize conditional statements and their parts.
To write converses, inverses, and contrapositives of conditionals.
To write biconditionals and recognize good definitions.
To use the Law of Detachment and the Law of Syllogism.
To connect reasoning in algebra and geometry.
To prove and apply theorems about angles.
To identify relationships between figures in space.
To identify angles formed by two lines and a transversal.
To prove theorems about parallel lines.
To use properties of parallel lines to find angles measures,
To determine whether two lines are parallel.
To relate parallel and perpendicular lines.
To use parallel lines to prove a theorem about triangles.
To find measures of angles of triangles.
To graph and write linear equations.
To recognize congruent figures and their corresponding parts.
To prove two triangles congruent using the SSS, SAS, ASA, AAS Postulates.
To use and apply properties of isosceles and equilateral triangles.
To prove right triangles congruent using the HL Theorem.
To identify congruent overlapping triangles.
To prove two triangles congruent using other congruent triangles.
To use properties of midsegments to solve problems.
To use properties of perpendicular bisectors and angle bisectors.
To identify properties of perpendicular bisectors and angle bisectors.
To identify properties of medians and altitudes of a triangle.
To use inequalities involving angles and sides of triangles.
To apply inequalities in two triangles.
To find the sum of the measures of the interior angles of a polygon.
To find the sum of the measures of the exterior angles of a polygon.
To use relationships among sides and angles of parallelograms.
To use relationships among diagonals of parallelograms.
To determine whether a quadrilateral is a parallelogram.
To define and classify special types of parallelograms.
To use properties of diagonals of rhombuses and rectangles.
To determine whether a parallelogram is a rhombus or rectangle.
To verify and use properties of trapezoids and kites.
To classify polygons in the coordinate plane.
To name coordinates of special figures by using their properties.
To write ratios and solve proportions.
To identify and apply similar polygons.
To use AA~ Postulate and the SAS~ and SSS~ Theorems.
To use similarity to find indirect measurements.
To find and use relationships in similar right triangles.
To use the Side-Splitter Theorem and the Triangle-Angle-Bisector Theorem.
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To use the Pythagorean Theorem and its converse.
To use the properties of 45o-45o-90o and 30o-60o-90o triangles.
To use sine, cosine, and tangent ratios to determine side lengths and angle measures in right triangles.
To use angles of elevation and depression to solve problems.
To apply the Law of Sines.
To apply the Law of Cosines.
To identify isometries.
To find translation images of figures.
To find reflection images of figures.
To draw and identify rotation images of figures.
To find composition of isometries, including glide reflections.
To classify isometries.
To understand dilation images of figures.
To find the area of parallelograms and triangles.
To find the area of a trapezoid, rhombus, or kite.
To find the area of a regular polygon.
To find the perimeters and areas of similar polygons.
To find the measures of central angles and arcs.
To find the circumference and arc length.
To find the areas of circles, sectors, and segments of circles.
To use segment and area models to find the probabitlies of events.
To recognize polyhedral and their parts.
To visualize cross sections of space figures.
To find surface area of a prism and a cylinder.
To find surface area of a pyramid and a cone.
To find the volume of a prism and a cylinder.
To find the volume of a pyramid and a cone.
To find the surface area and volume of a sphere.
To use properties of a tangent to a circle.
To use congruent chords, arcs, and central angles.
To use perpendicular bisectors to chords.
To find the measure of an inscribed angle.
To find the measure of an angle formed by a tangent and a chord.
To find measures of angles formed by chords, secants, and tangents.
To find the lengths of segments associated with circles.
To write the equation of a circle.
To find the center and radius of a circle.
To draw and describe a locus.