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Northstar Academy

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Christian school for grades 4-12

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DC AP® Calculus BC

  • Name:

    DC AP® Calculus BC (MATH520dc)

  • Department:

    Math

  • Credits:

    1.0 (yearlong course)

  • Prerequisites:

    PreCalculus Honors (MATH450) or equivalent with a strong A if student has not previously taken AP Calculus AB

DC AP® Calculus BC

Description:

This course covers all topics of Calculus of functions of a single variable as described in the AP Calculus BC topic outline in the AP Calculus Course Description. Major topics covered include the following: functions; limits; derivatives; applications of derivatives; definite integrals; differential equations;vmathematical modeling; applications of definite integrals; parametric, vector, and polar functions; sequences; and series (including the Taylor and Maclaurin series).

This course is designed to develop the student’s understanding of the concepts covered in the first two semesters of college-level Calculus and to provide the student with multiple experiences in the methods and applications of those concepts.

The Rule of Four is stressed throughout the course. Students are trained to express all solutions geometrically, numerically, analytically, and to interpret these findings verbally. Technology and graphing calculators are used extensively in this course to reinforce the concepts covered.

Special Notes:

Students need access to a scanner or digital camera (phone is fine) in order to submit work for the teacher to review.

Students will also need a TI-84 graphing calculator for this course. Each student must also have the computer connectivity cable for their calculator as they will be provided with several calculus programs to download for their TI-84 calculator that can also be used on the AP® exam.

The recommended sequence for students wishing to pursue advanced math classes: Algebra 1 (8th grade) – Geometry Honors – Algebra 2 Honors – PreCalculus Honors (if taking Calculus later) – AP Calculus or AP Statistics

The dual credit honors track includes a deeper focus on critical thinking and analytical skills by providing students with more challenging problems and assignments comparable to what they would see at the university level. These elements will also prepare students to be successful in future upper-level and AP® courses.

The Dual Credit fee for CCU is included in the fee for this course.

Each semester of this course is eligible for dual credit and thus requires an additional separate $200 dual credit fee for semester B. You must register with CCU for the equivalent dual credit course 2 weeks before you complete each semester. The $200 CCU fee for the semester A dual credit course is included in your course registration fee. The $200 CCU fee for the semester B dual credit course must be submitted to NorthStar before your semester B grade is reported to CCU.

FROM THE TEACHER

Are you hoping to enter a mathematical, scientific, or engineering program? This class will help prepare you for higher-level math courses in college and there is an opportunity for dual enrollment to earn some college credit at the same time. Expect to be challenged, encouraged and grow in your mathematical skill and knowledge. We are learning together in this course to recognize the beauty in math and how it demonstrates order, detail and care in creation! This course follows the curriculum set forth by the AP® College Board for AP® Calculus BC.

If there are books and materials for this course, they can be purchased from our Online Bookstore.

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Student Feedback

The strengths of this course was that it helped the student to increase their ability as an independent learner in a learning environment. There were very helpful videos and weekly discussion posts that helped the students enhance further knowledge while they are studying alone.

I really loved how students were able to actively help each other and communicate knowledge through weekly discussion posts. In my opinion, one finally understands a topic when one has the ability to explain the concept to another person. This was exactly the case for the weekly posts between students and the teacher.

I enjoy the Math Matters discussions specifically the math relay and fool a friend.