# Geometry A September 9, 2009 Prerequisite: C or better in Algebra 1AB (or equivalent). This California Standards-based course presents patterns, which are important to the development of thinking skills and problem-solving skills. Students will work with the

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Geometry
A

September 9, 2009

Prerequisite: C or better in Algebra 1AB (or equivalent).

This California Standards
-
based course presents patterns, which are important to the
development of thinking skills and problem
-
solving skills. Students will work
with the
body of geometry theorems, including the geometry of two and three dimensions.
Successful completion of Geometry AB prepares students for Algebra 2AB and

Class Rules

1.

You
must

be in the class ready to work befo
re the tardy bell rings, ideally,

2.

Courtesy and good manners are the ground rules for this class. This should
take care of the negative rules...No profanity. No name
-

calling, etc....

3.

Your
g
rade in this class is based on completion
of your

assignments.
Basically, if you don’t finish or do the work

4.

All work assigned will be collected and graded.

I assign points for work assigned and calculate grades based on
the following
scale:

100

-

90%

=

A

89

-

80%

=

B

79

-

6
7
%

=

C

6
6

-

63
%

=

D

62

-

0%

=

FAIL

Points are assigned for tests

and proofs (65% of final grade)
, homework

(20%)

and notes
/classwork (15%)
. Work should be turned in on or before the
due date.
Extensions can be granted in special

circumstances.

Parent Signature

Student Signature

Period

Student Name

COURSE SYLLABUS

The following are recurring standards in each unit of the course:

Geometry 1.0
Studen
ts demonstrate understanding by identifying and giving examples of undefined

terms, axioms, theorems, and inductive and deductive reasoning.

Geometry 2.0
Students write geometric proofs, including proofs by contradiction.

Geometry 3.0
Students construct an
d judge the validity of a logical argument and give counterexamples to
disprove a statement.

Geometry 16.0
Students perform basic constructions with a straightedge and compass, such as angle

bisectors, perpendicular bisectors, and the line parallel to a gi
ven line through a point off the line.

Geometry 17.0
Students prove theorems by using coordinate geometry, including the midpoint of a line
segment, the distance formula, and various forms of equations of lines and circles.

Unit 1

Focus Standards (first te
n weeks)

Geometry 1.0
Students demonstrate understanding by identifying and giving examples of undefined terms,
axioms, theorems, and inductive and deductive reasoning.

Geometry 2.0
Students write geometric proofs, including proofs by contradiction.

Geome
try 3.0
Students construct and judge the validity of a logical argument and give counterexamples to
disprove a statement.

Geometry 7.0
Students prove and use theorems involving the properties of parallel lines cut by a transversal,
laterals, and the properties of circles.

Geometry 12.0
Students find and use measures of sides and of interior and exterior angles of triangles and
polygons to classify figures and solve problems.

Scope and Sequence

This introductory unit helps students
develop geometric sense by working through the foundations of

geometric reasoning and developing geometric ideas connected to the study of polygons, angles and

parallel lines. Students are provided with opportunities to perform constructions relating to th
ese topics

such as constructing the line parallel to a given line through a point off the line. Students are given

opportunities to use reasoning (inductive and deductive), write proofs and disprove statements using

logical arguments.

Unit 2

Focus Standard
s: (second ten weeks)

Geometry 4.0
Students prove basic theorems involving congruence and similarity.

Geometry 7.0
Students prove and use theorems involving
the properties of parallel lines cut by a

transversal, the properties of quadrilaterals, and the p
roperties of circles.

Geometry 14.0
Students prove the Pythagorean theorem.

Scope and Sequence

The unit begins with the concepts of triangle congruence and similarity. Students then progress to study

the properties of quadrilaterals. The unit concludes w
ith the study of the Pythagorean Theorem,

specifically its proof. Relevant constructions can be included throughout the unit, such as constructing the
circumcircle of a triangle, and students should be given every opportunity to develop logical reasoning s
kills
and mathematical proofs as they apply to each new topic of study.