# Honors Geometry - Justin-Siena High School

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Oct 10, 2013 (4 years and 7 months ago)

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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

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

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
-

5
-
1: Properties of Parallelograms

5
-

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:

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

(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
-

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