iSabio Education

72 days until
AMC 8

156 days until
AMC 10A/12A

Trigonometry

 
(한국어 설명)

iSabio provides students with a trigonometry course that they can learn on their own.

This trigonometry course covers everything from the basics including trigonometric function definitions, the unit circle, and right triangle calculations, to more advanced and real-life applications of trigonometry like linear and angular velocity and vectors.  (Please see topics covered below.)

John Stogin utilizes iSabio’s many technological resources to provide step-by-step, in-depth teaching of high school-level trigonometry. He thoroughly covers each section, explains example problems, and even employs the most powerful mathematics software in the world, Mathematica®, to help illustrate vital concepts in several lectures. This e-Learning course was designed for students who wish to learn the subject on their own or just want extra help with the material. It is intended for those who find reading from a textbook a difficult way to learn math and prefer audiovisual instruction.

(To those who are used to James Choi's lectures: John Stogin is a serious teacher who stays on the topic full time.  There are no jokes and no side stories in his lectures.  Those who were annoyed by James Choi's jokes will find the seriousness of John Stogin's lectures refreshing.  John Stogin's lectures are mostly textbook and whiteboard based.  He uses Mathematica animations but is very infrequent compared to James Choi's lectures.)

 

Lecturer
John Stogin
John Stogin graduated from New Trier High School in 2007. He received an 800 for the SAT and a 36 for the ACT in math. He is a mathematics major at Princeton University and is also interested in Physics and Computer Science.

 

Ever since he read a biography on Paul Erdos, John has been intrigued by mathematics and determined to share its beauty with his peers and students. As a senior in high school, John helped teach one of his school's AP Calculus BC classes. Now, he serves as college liaison for the Association of Math Teachers in New Jersey.

 

In high school, John was a member of the orchestra, science Olympiad team, boy scout troop, cross country team, and fencing team. His science Olympiad team became the first all-freshman team to qualify for a state competition. His experience in scouting culminated in his achievement of the highest rank in scouting, the Eagle Scout rank. In fencing, he has medaled in national tournaments, competed  in the NCAA national championships for Princeton, and competed internationally as a member of the US traveling team.

 

Lecture Samples

Click on these two sample lectures to view them:

03.03.01 The Radian Measure

04.01.02 Graph of the Sine Function

 

Course Format:

iSabio’s trigonometry course comes in DVD-ROM format with approximately 5 hours of lecture time. With crystal clear explanations and a plethora of practice problems that are carefully explained and systematically solved, this iSabio course ensures that no student is left without expert assistance in his or her study of trigonometry. Using the interactive online discussion forum, students are also able to post any question regarding the lectures. Students can post diagrams, formulas, and even scanned images they have questions about. iSabio guarantees a satisfactory answer from one of our most qualified teachers within 48 hours of its posting so that no student is left behind.

 

Textbook:

The iSabio trigonometry course pairs directly with Trigonometry (Lial/Hornsby/Schneider Series) ISBN 0321227360; this book can be purchased from any vendor. It offers additional exercises and problems students can work on to hone their skills outside of viewing the interactive modules.

The book is not included with the purchase of the DVD-ROM.

Question and Answer Forum:

Students' questions will be answered on this forum  http://iSabio.com/Questions/Trigonometry.  General questions about the course can be be posted here.

Purchasing:

This course is available in 90-day, 395-day, and permanent licenses, depending on the student’s individual needs.

Because of DRM (Digital Rights Management), this e-Learning will work only on Windows XP and Vista.  It will not work on Mac or Linux.  Also, your computer must be configured to run.  Here is a test/configuration page: DRM Configuration. Please purchase the course only after completing the test and configuration.

  

 Pricing and purchase page.

 

 How is iSabio different?

iSabio’s innovative e-learning format allows students to visit and re-visit difficult concepts at their leisure, completely erasing any embarrassment of having to ask a teacher to explain a concept more than once. In addition, students are able to quickly review content from any part of the course with the mere click of a mouse, removing all the tediousness of studying and trying to re-learn material from a dry textbook. Studying for exams can be engaging and even fun, as students find themselves actually understanding material better as they go back to review it rather than forgetting how they originally learned the concepts. E-learning technology allows for a versatility that simply cannot be matched in the classroom, where teachers have limited time and are unable to meet every student’s individual needs. In this way, iSabio delivers what no teacher ever could. Through this novel approach to studying and understanding mathematics, students can gain solid foundations that will support the rest of their careers in mathematics.

 

Topics Covered:

Chapter 0

Overview of Trigonometry

0.1

Trigonometry is Just Ratios

0.2

Unit Circle Trigonometry

0.3

Graphing of Trig. Functions

0.4

Using These Tools

Chapter 1

The Trigonometric Functions

1.1

Angles

1.2

Angle Relationships 

1.3

Definitions of the Trigonometric Functions

1.4

Using the Def. of the Trig. Functions

Chapter 2

Acute Angles and Right Triangles

2.1

Trigonometric Functions of Acute Angles

2.2

Trigonometric Functions of Non-Acute Angles

2.3

Finding Trig. Function Values Using a Calculator

2.4

Solving Right Triangles

2.5

Further Applications of Right Triangles

Chapter 3

Radian and the Circular Functions

3.1

Radian Measure

3.2

Applications of Radian Measure

3.3

Circular Functions of Real Numbers

3.4

Linear and Angular Velocity

Chapter 4

Graphs of the Circular Functions

4.1

Graphs of the Sine and Cosine Functions

4.2

Translation of Sine and Cosine Function Graphs

4.3

Graphs of the Other Circular Functions

Chapter 5

Trigonometric Identities

5.1

Fundamental Identities

5.2

Verifying Trigonometric Identities

5.3

Sum and Difference Identities for Cosine

5.4

Sum and Difference Identities for Sine and Tangent

5.5

Double-Angle Identities

5.6

Half-Angle Identities

Chapter 6

Inverse Trig. Functions and Trig. Eq.

6.1

Inverse Trigonometric Functions

6.2

Trigonometric Equations I

6.3

Trigonometric Equations II

6.4

Equations Involving Inverse Trigonometric Functions

Chapter 7

Trig. and Vectors Applications

7.1

Oblique Triangles and the Law of Sines

7.2

The Ambiguous Case of the Law of Sines

7.3

The Law of Cosines

7.4

Vectors and the Dot Product

7.5

Applications of Vectors

 

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