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Hey its Minnow!
Today I will be covering AP Calculus AB. I made a 4 on the exam and I hope my advice will be of some help!
This exam covers the concepts of Calculus 1 and part of Calculus 2.
P.S. - The most helpful tip for me was understanding the concept rather than memorizing the steps of each question. Although memorizing is helpful, it will become difficult when faced with different formatted questions and applied FRQs.
To first begin for this exam, let's understand the material that is covered through the AP course material. The AP Exam can be split into 8 units.
OVERVIEW:
OVERVIEW:
The test can be broken up into 3 sections:
45 Multiple Choice Questions (MCQs), 2 Free Response Calculator Questions (FRQs) - 30 minutes, 4 FRQs
*You are allowed to go back and visit the Calculator FRQs, but you can't use a calculator
AP Calculus AB Score Calculator: Albert.io
The test is an accumulative score of 108: 54 MCQ points and 54 FRQ Points. Each FRQ has a total of 9 points with each of these individual point contributing around 1 points toward the total composite score. Each MCQ point contributes around 1 to 2 points.
To score a 3 you need: 45/108
To score a 4 you need: 57/108
To score a 5 you need: 69/108
Not too difficult right?
Topics may include:
How limits help us to handle change at an instant
Definition and properties of limits in various representations
Definitions of continuity of a function at a point and over a domain
Asymptotes and limits at infinity
Reasoning using the Squeeze theorem and the Intermediate Value Theorem
On The Exam
10%–12% of exam score
Topics may include:
Defining the derivative of a function at a point and as a function
Connecting differentiability and continuity
Determining derivatives for elementary functions
Applying differentiation rules
On The Exam
10%–12% of exam score
Topics may include:
The chain rule for differentiating composite functions
Implicit differentiation
Differentiation of general and particular inverse functions
Determining higher-order derivatives of functions
On The Exam
9%–13% of exam score
Topics may include:
Identifying relevant mathematical information in verbal representations of real-world problems involving rates of change
Applying understandings of differentiation to problems involving motion
Generalizing understandings of motion problems to other situations involving rates of change
Solving related rates problems
Local linearity and approximation
L’Hospital’s rule
On The Exam
10%–15% of exam score
Topics may include:
Mean Value Theorem and Extreme Value Theorem
Derivatives and properties of functions
How to use the first derivative test, second derivative test, and candidates test
Sketching graphs of functions and their derivatives
How to solve optimization problems
Behaviors of Implicit relations
On The Exam
15%–18% of exam score
Topics may include:
Using definite integrals to determine accumulated change over an interval
Approximating integrals using Riemann Sums
Accumulation functions, the Fundamental Theorem of Calculus, and definite integrals
Antiderivatives and indefinite integrals
Properties of integrals and integration techniques
On The Exam
17%–20% of exam score
Topics may include:
Interpreting verbal descriptions of change as separable differential equations
Sketching slope fields and families of solution curves
Solving separable differential equations to find general and particular solutions
Deriving and applying a model for exponential growth and decay
On The Exam
6%–12% of exam score
Topics may include:
Determining the average value of a function using definite integrals
Modeling particle motion
Solving accumulation problems
Finding the area between curves
Determining volume with cross-sections, the disc method, and the washer method
On The Exam
10%–15% of exam score
Cited from Collegeboard: https://apstudents.collegeboard.org/courses/ap-calculus-ab
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