Introduction+to+Calculus

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__Course Overview__
Unit 8: Chapters 4-5 **Integration**
 * Introduction to Calculus** will develop the topics essential for success in Calculus. Content includes a study of algebraic, transcendental, and trigonometric functions, as well as their compositions and inverses. The first quarter will include a review of Algebra II topics, including but not exhausting polynomial, radical and rational functions and their graphs. The second quarter will provide a review of exponential and logarithmic functions and in-depth coverage of trigonometric functions, graphs, and identities. The third quarter will open with an introduction to the concept of limits, primarily of polynomial functions, and the development and solution of the "tangent line problem." This will lead into a basic understanding of the derivative and the rules for differentiation. The fourth quarter will introduce the "area problem" and explore the concept of integration and its associated rules.
 * __Quarter 1__**:
 * Unit 1**: Chapters 1-3 **Linear Functions, Systems of Equations, and Graphing**
 * Unit 2:** Chapter 4 **Polynomial Functions**
 * Unit 3:** Supplemental Packet **Rational and Radical Functions**
 * __Quarter 2__:**
 * Unit 4:** Chapter 11 **Exponential and Logarithmic Functions**
 * Unit 5:** Chapters 5-7 **Trigonometric Graphs, Identities, and Equations**
 * __Quarter 3__**:
 * Unit 6**: Supplemental Packet **Limits**
 * Unit 7:** Chapters 2-3 **Differentiation**
 * __Quarter 4__:**

__Syllabus__
Larson, Hostetler, and Edwards. //Calculus of a Single Variable//, 8th ed. Houghton Mifflin Co., 2006. Examinations=35%, Quizzes=25%, Classwork=20%, Homework=20%. The midtern is 7% and the final exam is 13% of their overall grade for the course.
 * Class Meeting Time**: 2nd Period Monday through Friday
 * Tutoring**: Tuesdays and Thursdays, 2:00-3:00
 * Texts**: Blitzer, Robert. //Precaclulus//, 3rd ed. Perason Prentice Hall, 2007.
 * Required Material**: TI-83 Graphing Calculator (or equivalent)
 * Grading:** Grades are calculated each quarter and the respective assignments receiving the following weights**:**

__Lesson Planning__
Each day of the course is structured by a simple BBC (Blackboard Configuration) that describes an opening "Do Now" activity, an objective or objectives for the particular class session, an agenda for the session, and lastly the homework assignment. Typically, although not always, my opening "Do Now" activity is a 1-5 question quiz that assesess the knowledge from the previous day or is an assessment of some basic prior knowledge crucial to the coming lesson. This takes approximately the first 5 minutes of the class period. This is really the only truly ritualized aspect of the class, except possibly the closing of the class period that typically ends with a reminder of the homework assignment due the following morning.

The link below will take you to the brief lesson plans that I have compiled for this course. Introduction to Calculus 06-07 Lesson Plans

__Scope and Sequence__
The attached spreadsheet is the scope and sequence for this course including how the development of topics are aligned with the Massachusetts Frameworks. This is currently undergoing revision and I have not perfectly fulfilled it in all of its finer points, but it is an o.k. representation of the course in general.



__Unit Plan(s)__
The proposed sequence of topics as thy developed over the school year is slightly different than that which was fulfilled. I opted to removed exponential functions and save that topic for later course work and to allow for a sufficient review prior to finals. Please find both calendars below:

Unit plan that was intended to be fulfilled this year: Unit plan that was actually fulfilled this year: