SAT PREP CENTER
Aug 21, 2018-2019 Dustin B.
Calculus AB is a course in single-variable calculus that includes techniques and applications of the derivative, techniques and applications of the definite integral, and the Fundamental Theorem of Calculus. It is equivalent to at least a semester of calculus at most colleges and universities, perhaps to a year of calculus at some. Algebraic, numerical, and graphical representations are emphasized throughout the course.
Students taking this course have completed a solid foundation of mathematical courses that include algebra, geometry, trigonometry, analytic geometry, and elementary functions. Students are familiar with the properties, graphs, algebra, and language of linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piece-wise defined functions. Students will normally have taken Algebra, Algebra II, Trigonometry, and Pre-Calculus before taking AP Calculus. Attitude prerequisites include a willingness to work both in and out of class, a willingness to collaborate with classmates to foster mutual understanding, and a sincere intent to place out of the first semester of college calculus rather than repeat it.
This summer, students will experience a complete overview of the AP Calculus AB curriculum with emphasis on appropriate use of graphing calculator, content and pacing, and global review for the AP exam. We will also review content and pedagogy in the following topics: related rates, area/volume, differential equations/slope fields, the Fundamental Theorem of Calculus, implicit differentiation, L’Hopital’s Rule and other topics. A special focus on assessment and motivation will help students incorporate new strategies to build a successful AP Calculus program. We will examine changes to the AP Calc AB starting in 2016. Students are asked to bring a graphing calculator.
Aug 7, 2018-2019 Dustin B.
Calculus AB is a course in single-variable calculus that includes techniques and applications of the derivative, techniques and applications of the definite integral, and the Fundamental Theorem of Calculus. It is equivalent to at least a semester of calculus at most colleges and universities, perhaps to a year of calculus at some. Algebraic, numerical, and graphical representations are emphasized throughout the course.
Students taking this course have completed a solid foundation of mathematical courses that include algebra, geometry, trigonometry, analytic geometry, and elementary functions. Students are familiar with the properties, graphs, algebra, and language of linear, polynomial, rational, exponential, logarithmic, trigonometric, inverse trigonometric, and piece-wise defined functions. S will normally have taken Algebra, Algebra II, Trigonometry, and Pre-Calculus before taking AP Calculus. Attitude prerequisites include a willingness to work both in and out of class, a willingness to collaborate with classmates to foster mutual understanding, and a sincere intent to place out of the first semester of college calculus rather than repeat it.
This course is designed for studentss who have already learned the AB curriculum and are comfortable with the AP program. The AB curriculum will be reviewed, with an emphasis on the topics the students desire. We will look at proofs of the basic theorems of AB calculus, as well as more in depth explorations of differential and integral calculus applications. In addition, we will look at first semester college calculus topics that are not part of the AB curriculum.
These sessions will cover all topics on the Calculus AB syllabus which includes limits and continuity, definition of the derivative, applications of the derivative, rate of change, Mean Value Theorem, Riemann sums, the definite integral by geometric and analytic means, average value, anti-differentiation,, applications of integration, the Fundamental Theorem of Calculus, slope fields, applications of anti-differentiation and separable differential equations.
Sample problems from previous AP exams will be given and solved together to develop an understanding of the material and the College Board philosophy. Students will also receive a variety of classroom tested activities and calculator programs to enhance practicing. We will discuss ways to prepare students for the AP exam. Students will also get several current textbooks and resource materials. Instructors will be sharing their extensive files.
Aug 21, 2017-2018 Dustin B.
This AP Calculus BC course covers topics in single variable differential and integral calculus typically found in a first-year college Calculus I and Calculus II two semester course sequence. Students who have successfully completed AP Calculus AB should enroll in AP Calculus C.
While taking the Advanced Placement (AP) Calculus BC exam is not required, this course prepares students to succeed on the AP Calculus BC exam and subsequent courses that draw on material from this course.
Students will learn single variable calculus by actively engaging with the lectures, interacting with online resources, and by attempting many practice problems through homework and quizzes.Students will be solving AP free response and multiple choice questions, as well as learning how the free response questions are scored. We will discuss exam strategies and the recent curriculum re-write will be addressed, as well as any other issues that the students want discussed.
Jul 24, 2018-2019 Dustin B.
AP Statistics will introduce you to the study of Statistics at the college level. You will learn to think statistically, analyze and present data, produce data from samples, experiments and simulations, understand the probabilistic foundations of statistics, and make valid statistical inferences.
This course will emphasize using statistics to solve real-life problems. You will work individually and collaboratively, and develop math communication skills in both oral and written form. You will be expected to perform statistical analyses using graphing calculators and computer software. We will prepare extensively for the Advanced Placement Statistics Exam administered in May.
The objectives of this weeklong workshop are straightforward: to help our students do a better job teaching AP Statistics and to improve their students’ scores on the AP Exam.
We will examine the College Board’s outline of topics and course philosophy, discuss the course expectations, and share strategies for success on the AP exam. Additionally, we will review and clarify important concepts in Statistics and provide guidance and answer questions about the subject matter. We will also explore pedagogy, looking at sample lessons, classroom activities, effective demos, and possibilities for projects. Finally, we’ll look at a variety of resources, including textbooks, calculators, videos, software, and other materials.
Whether you are new to AP Statistics or a veteran educator, you’ll come away with lots of valuable insights (and have fun, too)!
2018-2019 N/A
2018-2019 Dustin B.
The AMC 8 is for students in grades 8 and below.
The AMC 8 is a 25-question, 40-minute, multiple choice examination in middle school mathematics designed to promote the development of problem-solving skills. The AMC 8 provides an opportunity for middle school students to develop positive attitudes towards analytical thinking and mathematics that can assist in future careers. Students apply classroom skills to unique problem-solving challenges in a low-stress and friendly environment.
More Information2018-2019 N/A
2018-2019 Dustin B.
The AMC 10 is for students in 10th grade and below, and covers the high school curriculum up to 10th grade. Students in grade 10 or below and under 17.5 years of age on the day of the contest can take the AMC 10.
More Information2018-2019 N/A
2018-2019 Dustin B.
The AMC 12 is for students in grades 12 and below.
The AMC 12 covers the entire high school curriculum including trigonometry, advanced algebra, and advanced geometry, but excluding calculus. Students in grade 12 or below and under 19.5 years of age on the day of the contest can take the AMC 12.
More Information2018-2019 N/A
2018-2019 Dustin B.
The American Invitational Mathematics Examination (AIME) is a challenging exam offered for those who excelled on the AMC 10 or AMC 12 exams. The AIME is a 15 question, 3-hour examination, each answer is an integer number between 0 to 999. The questions on the AIME are much more difficult than those on the AMC 10 and AMC 12 competitions. Top scoring students on the AIME are invited to take the USAMO or USAJMO.
Please note: Schedule is subject to change without notice. Please check online for updated information and details.