Honors Geometry - Justin-Siena High School

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Oct 10, 2013 (3 years and 10 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

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