Download Modern Geometry Directed Study MAT 313 Fall 2013 Professor: Mrs

Modern Geometry
Directed Study
MAT 313
Fall 2013
Professor: Mrs. Hoffman
Office: Arts & Science # 23 (AKA Timms Hall)
Office Hours: M, W, F 3:00 – 5:00 PM, Tue, Thurs. 1:00 – 5:00 PM
E-mail: [email protected]
I. Required Text
Alexander, Daniel C., Koeberlein, Geralyn M., Elementary Geometry for
College Students, Brooks/Cole, Cengage Learning, Belmont, CA, Fifth
Edition, 2011
ISBN: 978 -14390 – 4790 – 3
II.
Course Outline
A. Chapter One: Line and Angle Relationships Exam Date: Wed., Sept. 4
B. Chapter Two: Parallel Lines
Exam Date: Friday, Sept.20
C. Chapter Three: Triangles
Exam Date: Monday, Oct. 7
D. Chapter Four: Quadrilaterals
Exam Date: Wed., Oct. 23
E. Chapter Five: Similar Triangles
Exam Date: Wed. Nov.6
F. Chapter Six: Circles
Exam Date: Wed., Nov.20
G. Chapter Eight: Areas of Polygons & Circles
Exam Date: Fri. Dec. 6
H. Final Exam
To Be Determined
Note: If you have not taken the Mathematics Competency Exam, you will be
required to take and pass the exam in order to pass the course.
III. Course Requirements
A. You will take quizzes. I reserve the right to administer an unannounced
quiz.
B. You are expected to complete all daily assignments. Occasionally daily
assignments will be collected and graded.
C. You will take seven unit exams.
D. You will take a comprehensive final exam.
IV.
Course Grading
A. Daily assignments and quizzes
B. Seven Unit Exams (100 points each)
C. Final Exam (Comprehensive)
= 100 points 11%
= 700 points 78%
= 100 points 11%
D. Total Points
= 900 points 100%
E. Your grade will be computed by dividing the total number of points you earn
by the total number of possible points.
F. The grade scale stated in the catalog will be used to assign a final letter
grade.
V.
Course Attendance
N/A for Directed Study
A. You are expected to attend and to be alert in every class session.
B. You are expected to attend the entire class period to receive credit for
attending the class.
C. You are expected to be in the class when the period begins. Unexcused
tardiness (entering after the class begins) will result in 1/3 of an absence.
(Three tardy days equal one class absence.)
D. Number of Absences
1. No absences - ten bonus points
2. Three or less absences – five bonus points
3. If you have 11 or more absences (25% of the total number of classes)
you will automatically fail the course.
E. Any work (homework, quiz, or exam) missed because of an excused
(documented) absence may be made up. This must be done within five class
days.
F. Any work not made up, or work missed because of an unexcused absence
will result in a zero for the day’s work.
You will log the hours you spend watching the power points, doing the homework,
and spending with me to answer your questions. I will collect this log at the end of
the courses. You need to put in 126 hours. ( 42 hours X 3 credit hours)
VI.
Relation of Modern Geometry to the Outcome Goals of Toccoa Falls
College’s Academic Program
This class is an elective offering and is required only by Middle Grades
Teachers Education Majors. It does support the outcome goal of the School
of Arts and Sciences, number one: The successful student will demonstrate a
basic intellectual competence in mathematics.
VII. Course Assignments
A. Chapter One: Line and Angle Relationships
1.1
Pages 8 – 10:
1 – 55, odd numbers
1.2
Pages 18 – 21:
1 – 49, odd numbers
1.3
Pages 28 – 30:
1 – 39, odd numbers
1.4
Pages 37 – 39:
1 – 39, odd numbers, 28
1.5
Pages 44 – 46:
1 – 37, odd numbers
1.6
Pages 50 – 52:
1 – 27, odd numbers, 10
1.7
Pages 58 – 59:
1 – 31, odd numbers
B. Chapter Two: Parallel Lines
2.1
Pages 78 – 80:
1 – 23,
2.2
Pages 84 – 85:
1 – 27,
2.3
Pages 91 – 92:
1 – 33,
2.4
Pages 96 – 98:
1 – 45,
2.5
Pages 105 – 106: 1 – 37,
2.6
Pages 115 – 117:
1 – 27,
C. Chapter Three: Triangles
3.1
Pages 134 – 137: 1
3.2
Pages 142 – 144: 1
3.3
Pages 151 – 153:
1
3.4
Pages 158 – 159: 1
3.5
Pages 165 – 167: 1
odd
odd
odd
odd
odd
odd
numbers, 27, 29
numbers
numbers
numbers
numbers
numbers
– 37, odd numbers
– 27, odd numbers
– 41, odd numbers
– 35, odd numbers
– 27, odd numbers, 31, 33
D. Chapter Four: Quadrilaterals
4.1
Pages 184 – 185: 1 – 27, odd numbers
4.2
Pages 193 – 195: 1 – 25, odd numbers, 29, 31
4.3
Pages 201 – 203: 1 – 31, odd numbers
4.4
Pages 208 – 210: 1 – 27, odd numbers, 35
E. Chapter Five: Similar Triangles
5.1
Pages 226 - 227: 1 – 35, odd numbers
5.2
Pages 232 – 234: 1 – 31, odd numbers
5.3
Pages 240 – 243: 1 – 31, odd numbers, 39
5.4
Pages 250 - 251: 1 – 33, odd numbers
5.5
Pages 257 – 258: 1 – 29, odd numbers
5.6
Pages 265 – 267: 1 – 25, odd numbers
F. Chapter Six: Circles
6.1
Pages 286 – 287:
6.2
Pages 296 – 298:
6.3
Pages 306 – 307:
6.4
Pages 314 – 315:
1
1
1
1
– 23, odd numbers, 31
– 21, odd numbers, 25, 29
– 13, odd numbers, 17, 19, 21, 23, 25
– 25, odd numbers
G. Chapter Eight: Areas of Polygons and Circles
8.1
Pages 359 – 361: 1 – 19, odd numbers, 23, 25, 27, 29, 33, 35
8.2
Pages 370 – 371: 1 – 25, odd numbers
8.3
Pages 378:
1 – 29, odd numbers
8.4
Pages 384 – 385: 1 – 31, odd numbers
8.5
Pages 391 – 392: 1 – 21, odd numbers, 25, 27, 29
VIII. “Essential” Institutional Learning Outcomes
Number One: Gaining factual knowledge of the terms of Geometry
Number Two: Learning the fundamental principles of Geometry: formulas,
postulates, and theorems
IX.
“Important” Institutional Learning Outcomes
Number Three: Learning to apply course material: being able to prove
theorems using the definitions, postulates, and theorems already learned
X.
Course Objectives
A. By the completion of Chapter One, Line and Angle Relationships, you will
understand the following:
1.1 Sets, statements, and reasoning
1.2 Informal Geometry and measurement
1.3 Early definitions and postulates
1.4 Angles and their relationships
1.5 Introduction to Geometric proof
1.6 Relationships: perpendicular line
1.7 The formal proof of a theorem
B. By the completion of Chapter Two, Parallel Lines, you will understand the
following:
2.1 The Parallel Postulate and special angles
2.2 Indirect proof
2.3 Proving lines parallel
2.4 The angles of a triangle
2.5 Convex polygons
2.6 Symmetry and transformations
C. By the completion of Chapter Three, Triangles, you will understand the
following:
3.1 Congruent triangles
3.2 Corresponding part of congruent triangles
3.3 Isosceles triangles
3.4 Basic constructions justified
3.5 Inequalities in a triangle
D. By the completion of Chapter Four, Quadrilaterals, you will understand the
following:
4.1 Properties of a parallelogram
4.2 The parallelogram and kite
4.3 The rectangle, square, and rhombus
4.4 The trapezoid
E. By the completion of Chapter Five, Similar Triangles, you will understand the
following:
5.1 Ratios, rates, and proportions
5.2 Similar polygons
5.3 Proving triangles similar
5.4 The Pythagorean Theorem
5.5 Special right triangles
5.6 Segments divided proportionally
F. By the completion of Chapter Six, Circles, you will understand the following:
6.1 Circles and related segments and angles
6.2 More angles measures in the circle
6.3 Line and segment relationships in the circle
6.4 Some constructions and inequalities for the circle
G. By the completion of Chapter Eight, Areas of Polygons and Circles, you will
understand the following:
8.1 Area and initial postulates
8.2 Perimeter and area of polygons
8.3 Regular polygons and area
8.4 Circumference and area of a circle
8.5 More area relationships in the circle