Fullerton Joint Union High School District COURSE SYLLABUS

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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 ________________________