Fullerton Joint Union High School District
COURSE SYLLABUS
Geometry
Course Description
Geometry continues the three

year college

preparatory mathematics sequence begun in Algebra I. The
course introduces the student to the principle of inductive and d
eductive and deductive reasoning
implications, coordinate and transformational geometry, the properties of polygons and circles, and
concepts of area and volume. The student expands his/her ability to explore and solve problems
mathematically, think logic
ally and critically, and communicate mathematical ideas clearly.
District Content Standards for Geometry
Geometric Principles
1.0
Students demonstrate understanding by identifying and giving examples of undefined terms,
postulates, theorems, and inductive an
d deductive reasoning.
2.0
Students write geometric proofs, including proofs by contradiction.
3.0
Students construct and judge the validity of a logical argument. This includes giving counter
examples to disprove a statement.
4.0
Students prove basic theorems inv
olving congruence and similarity.
5.0
Students prove triangles are congruent or similar and are able to use the concept of
corresponding parts of congruent triangles.
6.0
Students know and are able to use the Triangle Inequality Theorem
7.0
Students prove
and use theorems involving the properties of parallel lines cut by a
transversal and the properties of quadrilaterals.
8.0
Students know, derive, and solve problems involving perimeter, circumference, area,
volume, lateral area, and surface area of com
mon geometric figures.
9.0
Students compute the volumes and surface areas of cylinders, spheres, prism, cones, and
pyramids.
10.0
Students compute areas of polygons including rectangles, scalene triangles, equilateral
triangles, rhombi, para
llelograms, and trapezoids.
11.0
Students determine how changes in dimensions affect the area and volume in spheres.
12.0
Students find and use measures of sides, interior and exterior angles of triangles,
quadrilaterals, and other polygons to classify f
igures and solve problems.
13.0
Students prove and solve relationships between angles in triangles and quadrilaterals
using
properties of complementary, supplementary, vertical, and exterior angles.
14.0
Students prove the Pythagorean Theorem.
15.0
Stu
dents use the Pythagorean Theorem to determine distance and find missing lengths of
sides
of right triangles.
16.0
Students perform basic constructions with straightedge and compass such as angle
bisectors, perpendicular bisectors, and the line parallel
to a given line through a point off
the
line.
17.0
Students prove theorems using coordinate geometry, including the midpoint of a line
segment, distance formula, and various forms of equations of lines
18.0
Students know the definitions of the basic t
rigonometric functions defined by the angles
of a
right triangle. They also know and are able to use elementary relationships between
them, (e.g.,
tan(x) = sin (x)/cos(x), (sin(x))
2
+ (cos (x))
2
=1).
19.0
Students use trigonometric functions to solve
for an unknown side or angle of a right
triangle.
20.0
Students know and are able to use angle and side relationships in problems with special
right
triangles such as 30

60

90 triangles and 45

45

90 triangles.
21.0
Students prove and solve problems reg
arding relationships among chords, secants,
tangents, inscribed angles, and inscribed and circumscribed polygons of circles
22.0
Students know the effect on figures in the coordinate plane of rigid motions including
rotations, translations, and reflecti
ons.
Introductory Algebraic Principles
1.0
Students graph a linear equation, and compute the x

and y

intercepts. They are also able to
sketch the region defined by linear inequality.
2.0
Students understand the concepts of parallel and perpendicular lines and
their slopes. Students
are able to find the equation of a line perpendicular and/or parallel to a given line that passes
through a given point.
Course Objectives
1.
The student will investigate the formal rules of logic, and apply these rues to a variety
of
mathematical reasoning styles. The student will demonstrate a knowledge and
understanding of geometry from the synthetic, algebraic, coordinate, and transformational
perspectives.
2.
The student will demonstrate a knowledge and understanding of the ski
lls, processes, and
concepts of algebra and their relationship to geometry. The student will begin to recognize
how broad, unifying ideas such as functions, equations, and mathematical modeling apply
to algebraic and geometric reasoning.
Geometry
Cla
ss Work
Students will complete a Packet of worksheets and Notes for each chapter.
Students must show all
work to receive credit.
Class work packets are due as soon as completed without prior notice.
Notes
are due on the day of the Final Exam
Home Work
Hom
ework is
assigned every day but over the weekend.
Monday’s homework
is
to correct Friday’s test/quiz and
is
worth 10 points.
Tuesday through Thursday’s homework
is
out of Geometry textbook and
is
worth 5 points.
Late homework
is
worth 2 points.
Any ot
her late work
is
worth half credit.
Homework is graded on effort. Students must show work in order to receive credit.
Homework is posted on the school’s website on the day it is assigned.
Test/Quiz
There
is
a test/quiz every
Friday. In case
of an absenc
e, students are
allowed to be excused from
making up one test/quiz per quarter. Test make

ups are to be arranged with the teacher
Students are allowed to retake one test/quiz per quarter.
Absent work
Students are to make up all work missed due to absence
. Students are allowed one day to make up
absent work for each day of absence.
Classroom Expectations
Students are to be in class and ready to work as soon the bell rings. School wide tardy policy
will be applied to students who are tardy.
Students will
be given three hall passes per
semester. Students who do not return to class
within 5 minutes will be assigned a detention.
Students are
not
allowed to bring food to
class. Beverages are allowed in closed bottles only.
Grading Policy/Guidelines
Tests/Qui
z category will count as 80% of the grade, Homework/Classwork
–
20%.
Geometry
Student and Parent Signatures
This verifies that I have read and understood the above information as it was explained in the handout
and discussed in class.
Student Name
______
___________________________________
Date
____________
(please print)
Student Signature
_______________________________________________________
Parent/Guardian Name _________________________________ Date
____________
(please print)
Patent/
Guardian Signature ________________________________________________
Telephone Number ________________________ Email ________________________
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