Geometry Course Syllabus  Dr. Moebes     Room D204

 

 

Instructor contact information

 

Instructor:	Dr. Travis A. Moebes, PhD	Phone:	409-925-2700
Room:	RM D204	Office Hours:   (or hours of availability)	First Period
E-mail:	Travis.moebes1@hccs.edu

 

 

 

                                        Santa Fe High School Campus

 

Course based on Textbook: Geometry, Texas Edition, 7^th Edition, by Demana, Waits, et all ISBN 0-13: 978- 173365-6

 

 

Instructor:  Dr. Travis A. Moebes, PhD, EMBA, Certified Math Instructor-State of Texas

 

Instructor Contact Information: Email: Travis.moebes@sfisd.org

Office Phone: 409-925-2700 – text first please

Office location and hours: Our Class Room or other school location; First Period or after school at 2:45

Classroom Location: Santa Fe HS Room D204

Class Meeting Time: Assigned period of student

Course Description

 

Precalculus. Topics include elementary theory of functions and equations, analytic geometry, vectors, introductory logic,

mathematical induction, sequences and finite series.

 

Prerequisites

Algebra II or Departmental approval

 

Course Goal

This course is intended primarily to prepare students for calculus. It can also be used for general mathematics credit.

 

Course Student Learning Outcomes (SLO):

1. 1. Represent and manipulate Geometric relations algebraically, graphically, and numerically.
2. 2. Engage in Geometric problem solving and modeling.
3. 3. Synthesize Geometric facts and laws into proof
4. 4. Analyze and manipulate equations between various two-dimensional systems such as rectangular, polar, vector representation s, conic systems and axes manipulations, as well as solving equations in these system

 

Learning outcomes

1. Learn the traditional Plane Geometry Theorems and proofs.
2. Relate Geometry to the beginnings of Trigonometry and start to learn Trigonometry.
3. Relate Geometry to applications.

 

General Classroom Behavior

• You are expected to respect and value yourself, your school environment and the diversity of the SFHS community.
• You are expected to contribute to classes and work cooperatively whenever the situation requires.
• You are expected to come to class prepared and you are responsible for all missing work
• Cell phones must be put away during instruction. Students are allowed two warnings before the phone is sent to the office with a $15.00 retrieval fee, per school policy.

 *Consequences for not adhering to the class rules can include a warning, student/teacher conference, parent/student/teacher conference, and/or a written referral and conference with an assistant principal.

 

Time Outline of Covering of Required Topics:

 

Nine Weeks 1    

Topic 1 Start Geometry

 

1.1 Tips for Success in Mathematics

1.2 Geometry—A Mathematical System

1.3 Points, Lines, and Planes

1.4 Segments and Their Measure

1.5 Angles and Their Measure

1.6  Angle Pairs and Their Relationships

1.7  Coordinate Geometry—Midpoint and Distance Formulas

1.8 Constructions—Basic Geometry Constructions

 

Topic 2 Introduction to Reasoning and Proofs

 

2.1 Perimeter, Circumference, and Area

2.2 Patterns and Inductive Reasoning

2.3 Conditional Statements

2.4 Biconditional Statements and Definitions

2.5 Deductive Reasoning

2.6 Reviewing Properties of Equality and Writing Two-Column Proofs

2.7 Proving Theorems About Angles

 

Nine Weeks 2

Topic 3 Parallel and Perpendicular Lines

 3.1   Lines and Angles

   3.2   Proving Lines Are Parallel

3.3   Parallel Lines and Angles Formed by Transversals

3.4     Proving Theorems About Parallel and Perpendicular Lines

3.5   Constructions—Parallel and Perpendicular Lines

3.6   Coordinate Geometry—The Slope of a Line

3.7   Coordinate Geometry—Equations of Lines

 

Nine Weeks 2 (continued)

 Topic 4 Triangles and Congruence

 

4.1 Types of Triangles

4.2 Congruent Figures

4.3 Congruent Triangles by SSS and SAS

4.4 Congruent Triangles by ASA and AAS

4.5 Proofs Using Congruent Triangles

4.6   Isosceles, Equilateral, and Right Triangles

 

Nine Weeks 3

Topic 5 Special Properties of Triangles

 

5.1 Perpendicular and Angle Bisectors

5.2 Bisectors of a Triangle

5.3 Medians and Altitudes of a Triangle

5.4 Mid-segments of a Triangle

5.5 Indirect Proofs and Inequalities in One Triangle

5.6   Inequalities in Two Triangles

 

Topic 6 Quadrilaterals

6.1 Polygons

6.2 Parallelograms

6.3 Proving that a Quadrilateral Is a Parallelogram

6.4 Rhombuses, Rectangles, and Squares

6.5 Trapezoids and Kites

 

 

 

 

 

 

Nine Weeks 4

 

Topic 7 Similarity

 

7.1 Ratios and Proportions

7.2 Proportion Properties and Problem Solving

7.3 Similar Polygons

7.4 Proving Triangles Are Similar

 

Topic 8 Transformations

 

8.1 Rigid Transformations

8.2  Translations

8.3 Reflections

8.4 Rotations

 

Topic 9 Right Triangles and Trigonometry

 

9.1 The Pythagorean Theorem and Its Converse

9.2 Special Right Triangles

9.3 Trigonometric Ratios and Trigonometric Angles

9.4 Solving Right Triangles

9.5 Vectors

 

Topic 10 Area

 

 10.1 Areas of Regular Polygons

10.2 Perimeters and Areas of Similar Figures

10.3 Arc Measures, Circumferences, and Arc Lengths of Circles

10.4 Areas of Circles and Sectors

 

 

Tutorials

For many students, tutorials are an integral part to being successful in Geometry. Tutoring is available after school Monday and Wednesday until 3:30 and on advisory travel days. Additional tutoring can be arranged by appointment.

Homework and Retakes

Students will likely be assigned homework daily. Several consecutive days of assignments will be collected together on the due date at the beginning of class.

Retake tests are offered to students who make below a 70 on their exam. The student must come in for tutorials and correct the failed exam, and then they will be eligible for a retake with a maximum grade of 70. The retake must be taken within 1 week of the original exam being passed back to students.

Late Work Policy

If a student is present the day work is assigned and is present the day it is due and fails to turn in the work, no credit is given.

If a student is present the day work is assigned and is absent the day it is due, the work is due the day that student returns.

If a student is absent the day work is assigned, they have one day from when they return to turn in the missed work.

Supply List

• Pencils
• Graphing calculator (Recommended)
• Spiral

 

Grading Policy

Santa Fe ISD grading policy states major grades must count 50% and daily grades are to count 20%. Major grades consist of tests and projects. Daily grades consist of homework and classwork. Quizzes are 30%. There will be a minimum of three major grades and eight daily grades per nine weeks. Pre-Calculus Remind Text @28hafg to 81010 to sign up for Dr. Moebes’s remind to get class reminders

 

 

Students are encouraged but not required to purchase a graphing calculator. If you purchase your own, I recommend TI-83+, TI-84+, TI-Nspire, or TI-Nspire CX.

I’m looking forward to a great year with each one of you!!!