Course – Geometry
Teacher – Mike Fox-Boyd
Campus
extension 448
OBJECTIVES:
To understand the characteristics of
geometric figures
To make conjectures and prove
theorems relating to these figures
To practice critical and logical
thinking and deductive reasoning
To see and appreciate how geometry can help to
order, describe, and better understand the world around us
To promote good study and work habits
CONTENT:
Reviewing some Algebra I topics as
related to geometry
Basic figures – points, lines,
planes, angles
Concepts of parallel and
perpendicular
Triangles – classification, proving
congruent and similar
Polygons
Circles
Area and volume of polygons,
circles, solids
Coordinate geometry
SUPPLIES:
Textbook – Geometry – Larson,
Boswell, Stiff
A sharpened pencil with eraser
Graphing Calculator : TI – 83 or TI
– 84
HOMEWORK
is assigned daily with few exceptions.
The work will be discussed in class the day it is due and collected.
EXTRA
HELP: I am available several periods during the school day and before school by
prior arrangement for help.
Policy for Geometry
Mr. Fox-Boyd
2007-2008
Only one letter grade is given during the entire
quarter. Semester grades are based on
two quarter grades and one exam grade.
Year grades are calculated based upon four quarter grades and two exam
grades.
The points will be distributed as follows:
Tests 55%
Quizzes 15%
Homework 30%
If you fail to bring these items to class, your
class performance will suffer, and your subsequent homework and grade as a
result will also suffer.
Graphing
Calculator:
TI – 83 or TI - 84
Pencil with
Eraser any
assignment written in ink will have one point deducted.
Humans make mistakes. Mathematicians, though sometimes thought of
as super-humans, also make mistakes. You
must show all of your work on homework and tests to receive credit. You are to complete these tasks in
pencil. Homework completed in pen will
receive a one point deduction. Tests
completed in pen will received a 5 point deduction. Stock up now.
Homework
NO LATE
HOMEWORK WILL BE ACCEPTED.
Homework assignments are worth 4 points each.
Homework will be graded based on effort and completion, therefore showing ALL work is necessary. If there are unanswered questions or no work is shown, deductions will be made.
Homework will be collected the day
that they are due.
Homework is due on the class day after it is assigned.
You are allowed one “late day” per quarter. A late day allows you to turn in any one
homework assignment one day late.
Note: THIS MOST LIKELY MEANS YOU WILL HAVE TO TURN IN TWO ASSIGNMENTS ON
THE SAME DAY. ALSO, you may not
use your late day if you have any missing assignments!!!
One point will be deducted from homework completed
in anything but pencil.
You must ***show
all work*** and ***write down the problem*** when appropriate. Deductions will be made when appropriate.
If you have any problems that you struggle with,
circle the question number and ask Mr. Fox-Boyd about it in class.
At the end of each chapter there will be a
test. It will last the entire period and
cover the entire chapter.
Depending on the performance of the entire class both in class and on homework, there may be an opportunity to earn extra credit points on a test.
The midterm exam will cover material from the first
semester. The final exam will cover
material from the second semester, with theory from the entire year.
If a test
is turned in without the honor code signed, the test will not be graded until
the honor code is signed.
A maximum of three (3) quizzes will be given per
chapter. Quizzes will occur
After
homework review and before the lesson.
Quizzes will be UNNANOUNCED.
If you are absent on the day that homework is
assigned or corrected, you may receive full credit if it is turned in one
day late. Students are responsible
for learning material from days that they were absent. I am available many times before and during
school for this.
If you are present on the day before a test (“review
day”), you will be expected to take the test. If you are not present on the day before a
test, you are still expected to take the test.
If you are absent the day of a test, you must make arrangements to take
the test ASAP.
For each day you are absent, you are allowed that
number of days to make up missed work.
For example if you miss three days of school, you are allowed three days
to make up your work. No exceptions.
Every student is expected to participate in class. If a student chooses not to volunteer answers, s/he will most likely be called upon.
Drinking
water only is allowed in class.
If a student does non-math
homework during math class, it may be taken away.
Answers to math problems should be boxed, except for
obvious exceptions. Deductions will be
made when appropriate. You will have to
do this in college, so it’s a good idea to get used to it now.
Please seek extra help with Mr. Fox-Boyd at any time. Try to make an appointment.
All Cyber Day work is required, and, per school
policy, no late cyber day work will be accepted. The weight of Cyber Work with respect to your
grade for the course will be determined when assigned.
All assigned homework will be
posted on the web. HOWEVER, any and everything said in class always supersedes anything posted on
the web. I may change an assignment
during class and not post the change on the web. It is your responsibility to write
down and keep track of all assignments and any and everything mentioned in class.
Basics of Geometry
- Patterns and Inductive Reasoning
- Points, Lines, and Planes
- Segments and their Measures
- Angles and their Measures
- Segment and Angle Bisectors
- Angle Pair Relationships
Reasoning and Proof
- Conditional Statements
- Definitions and Biconditional Statements
- Deductive Reasoning
- Reasoning With Properties from Algebra
- Proving Statements About Angles
- Proving Statements About Segments
Lines in a Plane
- Lines and Angles
- Proof and Perpendicular Lines
- Parallel Lines and Transversals
- Proving Lines are Parallel
- Using Properties of Parallel Lines
Congruent Triangles
- Angles of Triangles
- Properties of Triangle Congruence
- Proving Triangles are Congruent
- Using Congruent Triangles
- Isosceles, Equilateral, and Right Triangles
Properties of Triangles
- Perpendiculars and Bisectors
- Special Triangle Segments
- Inequalities in One Triangle
- Inequalities in Two Triangles
Polygons
- Naming of Polygons
- Properties of Parallelograms
- Proving Quadrilaterals and Parallelograms
- Rhombuses, Rectangles, Squares, Trapezoids, and Kites
- Special Quadrilaterals Hierarchy
- Areas of Triangles and Quadrilaterals
Similarity
- Review Ratio and Proportion
- Problem Solving With Proportions
- Similar Polygons
- Similar Triangles
- Proving Triangles are Similar
- Proportions in Similar Triangles
Right Triangles
- Similar Right Triangles and Geometric Mean
- The Pythagorean Theorem
- The Converse to the Pythagorean Theorem and Classifying Triangles
- Special Right Triangles
- Trigonometric Ratios
- Solving Right Triangles
Circles
- Properties of Circles
- Tangents to Circles
- Arcs and Chords
- Central angles and Inscribed Angles
- Angle Relationships in Circles (Tangents, Chords and Secants)
- Segment Lengths in Circles
Planar Measurements
- Angle Measures in Polygons
- Areas of Regular Polygons
- Perimeter and Area of Similar Figures
- Circumference and Arc Length (The Arc Length Corollary)
- Areas of Circles and Sectors
- Geometric Probability
Measurements in Space
- Properties of Solids and the Platonic Solids
- Surface Area (Prisms, Cylinders, Pyramids, and Cones)
- Volume (Prisms, Cylinders, Pyramids, and Cones)
- Spheres (Surface are and Volume)