AP CALCULUS BC SUMMER ASSIGNMENT Dear BC Calculus Student, Congratulations on your wisdom in taking the BC course! We know you will find it rewarding and a great way to spend your junior/senior year. This course is primarily concerned with developing your understanding of the concepts of calculus and providing experience with its methods and applications. The course emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. In order to be successful in this course you need the proper foundation (i.e. knowledge of algebra, geometry, trigonometry, analytic geometry, and elementary functions). You will have to be very familiar with the basic families of functions, and all of their representations, in order to be successful in your study of calculus. The concept of functions underlies everything that calculus considers. You will also need to be able to carry out certain computational tasks (i.e. algebra skills) with efficiency and accuracy if you are going to be successful in calculus. These include manipulations of functional symbolism, solving algebraic equations involving the functions mentioned above, interpreting numerical values given by formulas, graphs, and tables, using and manipulating data, and knowing how and when to use your calculator. This is a rigorous college course. The curriculum and pace of the course is intense and is designed to prepare students for the AP exam. Since this is a college class you can expect to spend approximately 1-2 hours completing homework or studying for every hour that you are in class learning. Each test and quiz that is given is cumulative and will be graded as per the College Board guidelines. Therefore, this course will be challenging and demanding. Next year, the AP exam will be on Tuesday, May 14 th . Circle this day on your calendar. The College Board requires the use of a graphing calculator on the exam. If you do not own a graphing calculator, we strongly encourage you to purchase one this summer. Spend some time familiarizing yourself with the capabilities of your calculator. The school does have class sets of TI-84’s that will be available in class but not outside of class. Complete this packet over the summer. Please be advised that on the third day of class you will be required to turn in the packet (50 pts) and take a quiz (50 pts) on the information within the first two weeks of school. This quiz will cover the following concepts and skills: limits, all differentiation methods and application of derivatives. These were covered in the first three chapters of Calculus AB/Math Analysis. Moreover, you will be assessed on this material throughout the entire year, so it is in your best interest to review the sample questions provided on the subsequent pages, and prepare yourself prior to the first day of school. Be advised that these are the skills that we expect you to possess prior to the first day of school. Therefore, if you are unable to answer some of these questions, we suggest that you start studying! Feel free to contact your teachers with any questions or concerns that you or your parents may have. Our email addresses are included below. Have a restful summer and be ready to talk math again in August. Sincerely, Mrs. Maria Quinn James m[email protected]
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AP CALCULUS BC
SUMMER ASSIGNMENT
Dear BC Calculus Student,
Congratulations on your wisdom in taking the BC course! We know you will find it rewarding and a great way to spend your junior/senior year. This course is primarily concerned with developing your understanding of the concepts of
calculus and providing experience with its methods and applications. The course emphasizes a multi-representational
approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and
verbally. In order to be successful in this course you need the proper foundation (i.e. knowledge of algebra, geometry,
trigonometry, analytic geometry, and elementary functions). You will have to be very familiar with the basic families of
functions, and all of their representations, in order to be successful in your study of calculus. The concept of functions
underlies everything that calculus considers.
You will also need to be able to carry out certain computational tasks (i.e. algebra skills) with efficiency and accuracy if
you are going to be successful in calculus. These include manipulations of functional symbolism, solving algebraic
equations involving the functions mentioned above, interpreting numerical values given by formulas, graphs, and tables,
using and manipulating data, and knowing how and when to use your calculator.
This is a rigorous college course. The curriculum and pace of the course is intense and is designed to prepare students
for the AP exam. Since this is a college class you can expect to spend approximately 1-2 hours completing homework or
studying for every hour that you are in class learning. Each test and quiz that is given is cumulative and will be graded as
per the College Board guidelines. Therefore, this course will be challenging and demanding. Next year, the AP exam will
be on Tuesday, May 14th. Circle this day on your calendar. The College Board requires the use of a graphing calculator on the exam. If you do not own a graphing calculator, we strongly encourage you to purchase one this summer. Spend some time familiarizing yourself with the capabilities of your calculator. The school does have class sets of TI-84’s that
will be available in class but not outside of class.
Complete this packet over the summer. Please be advised that on the third day of class you will be required to turn in the packet (50 pts) and take a quiz (50 pts) on the information within the first two weeks of school. This quiz will cover the following concepts and skills: limits, all differentiation methods and application of derivatives. These were covered in the first three chapters of Calculus AB/Math Analysis. Moreover, you will be assessed on this material throughout the entire year, so it is in your best interest to review the sample questions provided on the subsequent
pages, and prepare yourself prior to the first day of school. Be advised that these are the skills that we expect you to
possess prior to the first day of school. Therefore, if you are unable to answer some of these questions, we suggest that you start studying!
Feel free to contact your teachers with any questions or concerns that you or your parents may have. Our email addresses are included below. Have a restful summer and be ready to talk math again in August.