Honors Geometry
2009

2010
Syllabus
Instructor: Mrs Donohoe
Room 503
Course Description:
Honors Geometry is an advanced and accelerated course designed for students
planning to continue to Honors Algebra II. Mathematical reasoning is taught mainly throu
gh the writing
of formal proofs, with the theorems, postulates, and definitions of plane geometry introduced in a very
logical progression. An introduction to three dimensional geometry is also included. Toward the end of
the year, more algebra concepts
are brought into the course to aid in the transition to Algebra II.
I: Prerequisites
A or B in Honors Algebra I, A
+
in Algebra I, Freshman recommendation of the 8
th
grade teacher, and
Math Department approval.
II: Goals and Objectives
Upon completion
of
this course the student will be able to:
display
an appropriate understanding of deductive reasoning
, using written and verbal skills.
.
s
olve
a variety of word
problems
, using algebra and geometry
differentiate
between intuitive descriptions and forma
l mathematical statements needed for logical
accuracy.
construct a formal geometric proof using sequential reasoning, with justification for each step.
exhibit
algebraic skills using properties of real numbers.
III: Textbook
Classroom Text:
Geometry;
McD
ougal Littell, Jurgensen C2004
IV: Additional Student Materials
Textbook
Notebook with dividers and paper both lined and graph
Calculator, compass, protractor
Pens and Pencils
V: Course Outline By Semester
A: Semester I
(New Text, Approximate Outl
ine)
Chapter 1

Points, Lines, Planes & Angles
1

1: Some Geometry
1

2: Points, Lines, & Planes
1

3: Segments, Rays & Distance
1

4: Angles
1

5: Postulates & Theorems
Chapt
er 2

Deductive Reasoning
2

1: If

Then Statements
2

2: Algebra Properties
2

3: Proving Theorems
2

4: Special Angles
2

5: Perpendicular Lines
2

6: Planning a Proof
Chapter 3

Parallel Lines & Planes
3

1: Definitions
3

2: Propperties of Parallel Lines
3

3: P
roving Lines Parallel
3

4: Angles of a Triangle
3

5: Angles of a Polygon
3

6: Inductive Reasoning
Chapter 4

Congruent Triangles
4

1: Congruent Figures
4

2: Proving Triagles Congruent
4

3: Using Congruent Triangles
4

4: Isosceles Triangle Theorem
4

5: Other Methods of Proving Triangles
4

6: Using More than One Pair of Congruent Triangles
4

7: Medians, Altitudes, & Perp. Bisectors
Chapter 5

Quadrilaterals
5

1: Properties of Parallelograms
5

2: Proving Quads are Parallelograms
5

3: Theorems With Parallel Lines
5

4: Special Parallelograms
5

5: Trapezoids
Chapter 6

Inequalities in Geometry
6

1: Inequalities
6

2: Inverses & Contrapositives
6

3: Indi
rect Proof
6

4: Inequalities for One Triangle
6

5: Inequalities for Two Triangles
Semester II: (Approximate)
Chapter 7

Similar Polygons
7

1: Ratio & Proportion
7

2: Properties of Proportions
7

3: Similar Polygons
7

4:
Postulate for Similar Triangles
7

5: Theorems for Similar Triangles
7

6: Proportional Lengths
Chapter 8

Right Triangles
8

1: Similarity in Right Triangles
8

2: The Pythagorean Theorem
8

3: Converse of Pythagorean Theorem
8

4: Special Right Triangles
8

5: Tangent Ratio
8

6: Sine & Cosine Ratios
8

7: Applications of Right Triangle Trig
Chapter 9

Circles
9

1: Basic Terms
9

2: Tangents
9

3: Arcs & Central Angles
9

4: Arcs &
Chords
9

5: Inscribed Angles
9

6: Other Angles
9

7: Circles & Lengths of Segments
Chapter 10

Construction & Loci
10

1: Meaning
10

2: Perpendiculars & Parallels
10

3: Concurrent Lines
10

4: Circles
10

5:
Special Segments
10

6: The Meaning of Locus
10

7: Locus Problems
10

8: Locus & Construction
Chapter 11

Areas of Plane Figures
11

1: Rectangles
11

2: Parallelograms, Triangles & Rhombuses
11

3: Trapezoids
11

4: R
egular Polygons
11

5: Circumference & Areas of Circles
11

6: Arc Lengths & Areas of Sectors
11

7: Ratio of Areas
11

8: Geometric Probability
Chapter 12

Areas & Volumes of Solids
12

1: Prisms
12

2: Pyramids
12

3:
Cylinders & Cones
12

4: Spheres
12

5: Areas & Volumes of Similar Solids
Chapter 13

Coordinate Geometry
13

1: Distance Formula
13

2: Slope of a Line
13

3: Parallel & Perpendicular Lines
13

4: Vectors
13

5: Midpo
int Formula
13

6: Graphing Linear Equations
13

7: Writing Linear Equations
13

8: Organizing Coordinate Proofs
13

9: Coordinate Geometry Proofs
Chapter 14

Transformations
14

1: Mappings & Functions
14.2: Reflections
14

3: Translations & Glide Reflections
14

4: Rotations
14

5: Dilations
14

6: Composites of Mappings
14

7: Inverses & the Identity
14

8: Symmetry in the Plane and in Space
VI:
PROJECTS:
QI:. Radical review and ba
sic constructions
Q2. Symbolic Logic
Q3.
TBA
Q4. TBA
VII
: Format for Assignments
Homework Requirements:
Homework must be done in pencil. Corrections made during class should be
done in ink. Upper right hand corner should be as follows:
Name
Date/ P
eriod
HW Number
HOMEWORK WILL NOT BE ACCEPTED, FOR ANY REASON, AFTER THE EXAM COVERING
THAT MATERIAL.
Notebook Requirements:
Each student is required to maintain a notebook with dividers.
The notebook sections should be as follows:
1.
Hand

outs
2.
Guided Pr
actice Problems
3.
Class Notes: Titled & Dated
4.
Returned Papers
VI
II
: Assessment and Grading Policies
(All point v
alues are approximate, and given
per quarter)
Notebooks
–
25 points
Quizzes
–
60 points
Exams
–
300 points
Homework
–
100 points
Projects
–
1
00 points
Quarter and semester grades will be assigned using the Justin

Siena grading policies.
IX: Po
licy for late and/or missing work.
Except for extended absences, all work must be completed within one week of returning to school. If a
student is ab
sent on the day of the exam, he/she must return to school prepared to take the make

up exam.
Times and places will be posted, or by arrangement with the teacher.
X
: Contact Information:
Email:donohoem@justin

siena.org
Phone: 255

0950 ext 618
IX: Course
Assignments
TBA I will post these weekly
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