What challenges do AP Calculus BC often bring to students?
giasuib.com – For students who want to study abroad with majors in nature, it is an advantage to equip AP Calculus BC knowledge. Learning AP Calculus BC also comes with many difficulties, but what challenges do AP Calculus BC often bring to students ?
AP Math program
AP Math is divided into 3 courses – AP Calculus AB, AP Calculus BC and AP Statistics. Students are required to have stable bases of Math relating to geometry and algebra. Learners will have 3 choices in AP Math program: learn Calculus BC after completing Calculus AB course, or only learn Calculus AB, or skip Calculus AB course and move on to Calculus BC. Their choices will be based on their goals in the future.
Math knowledge is like a chain related to each other that you have to master right from the basics because if you have a hole, it will be difficult to absorb relevant knowledge or encounter many mistakes when solving the exercises. When studying AP Calculus BC, students will have to face a lot of knowledge about reasoning with algebraic symbols and working with algebraic structures, grasp algebra, geometry, trigonometry, analytic geometry, and elementary functions.
Students must also understand the language of functions (domain and range, odd and even, periodic, symmetry, zeros, intercepts, and descriptors such as increasing and decreasing). Students should also know how the sine and cosine functions are defined from the unit circle and know the values of the trigonometric functions at the numbers 0, π/6, π/4, π/3, π/2, and their multiples…
Students will be moving around a lot of numbers and variables without necessarily doing arithmetic or calculating specific numbers. This can get very abstract or mess up the order of operations that are usually more confusing than working with exact values.
Another difficulty that AP Calculus BC often brings to students is symbols and writing conventions. These symbols will summarize a lot of information, and it is easy to forget parts or implications of their meaning. Therefore, students should use them fluently to keep up with learning new material and to communicate results or solutions.
The next answer to the question of what challenges do AP Calculus BC often brings to students is academic language. Academic words play a very important role in reading and understanding problems to find solutions. With AP Calculus BC there will be more words than you typically see in high school math classes. Students will learn a variety of mathematical concepts and processes. In addition, students also need to be familiar with some theorems and proofs to apply them to math problems.
For the AP Calculus BC exams, many students have a headache in allocating their time, choosing to use appropriate words, formulas, processes… to find the correct answers. For example, with section: 2—Free Response: Like the calculator section of the multiple-choice, this section will have numerically complex calculations where you will frequently need a graphing calculator.
There will be a lot of computation and students have to finish this section in the allotted 30 minutes, students can continue to work on the problem during the time for the next section. Students will have to do so without a calculator, however, so budget your time appropriately to get the best use of your calculator.