AP Calculus AB Scoring Guidelines 2025 Edition

AP Calculus AB Scoring Guidelines 2025 Edition

AP Calculus AB Scoring Guidelines for 2025 provide detailed evaluation criteria for free-response questions. These guidelines outline the scoring process, including point allocation for each response based on accuracy and completeness. Designed for educators and students preparing for the AP exam, the document emphasizes the importance of clear mathematical communication and correct application of calculus concepts. It includes examples of model solutions and scoring notes to help understand how to achieve maximum points. Ideal for AP Calculus students and teachers aiming to enhance exam performance.

Key Points

  • Includes scoring criteria for AP Calculus AB free-response questions
  • Provides model solutions and detailed scoring notes for clarity
  • Emphasizes the importance of mathematical communication in responses
  • Outlines specific point allocations for various types of answers
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2025
AP
®
Calculus AB
Scoring Guidelines
© 2025 College Board. College Board, Advanced Placement, AP, AP Central, and the acorn logo are registered
trademarks of College Board. Visit College Board on the web: collegeboard.org.
AP Central is the official online home for the AP Program: apcentral.collegeboard.org.
AP® Calculus AB/BC 2025 Scoring Guidelines
© 2025 College Board
Part A (AB or BC): Graphing calculator required
Question 1 9 points
General Scoring Notes
• The model solution is presented using standard mathematical notation.
• Answers (numeric or algebraic) need not be simplified. Answers given as a decimal approximation should
be acc
urate to three places after the decimal point. Within each individual free-response question, at most
one point is not earned for inappropriate rounding.
An invasive species of plant appears in a fruit grove at time
t = 0
and begins to spread. The function C
defined by
C
(
t
)
= 7.6arctan
(
0.2t
)
models the number of acres in the fruit grove affected by the species t
weeks after the species appears. It can be shown that
38
Ct
′
( )
=
.
25 + t
2
(Note: Your calculator should be in radian mode.)
Model Solution Scoring
A
Find the average number of acres affected by the i
nvasive species from time
t = 0
to time
t = 4
weeks.
Show the setup for your calculations.
1
4
C
(
t
)
dt
40−
∫
0
Average value
formula
Point 1 (P1)
1
=
(
11.112896
)
= 2.778224
4
From time
t = 0
to
t = 4
weeks, the average number of acres
affected by the invasive species was 2.778 acres.
Answer Point 2 (P2)
AP® Calculus AB/BC 2025 Scoring Guidelines
© 2025 College Board
Scoring Notes for Part A
• P1 is earned for the correct integral, with or without the differential, along with evidence of division
by 4. In the presence of the correct integral, the correct answer will suffice as evidence of division
by 4. These may appear all in one step, as in the model solution, or in multiple steps.
• P2 is earned for the correct answer, with or without supporting work. A reported answer should be
accu
rate to three places after the decimal point, rounded or truncated. An inappropriately rounded
answer does not earn the point.
• Incorrect or unclear communication between the correct integral and the correct answer is treated as
s
cratch work and is not considered in scoring. For example:
o
∫
4
C
(
t
)
dt = 11.112896
0
so the average velocity is 2.778224.
Note: This response earns P1 for the correct integral with the correct answer as evidence of
di
vision by 4. It also earns P2 for the correct answer.
o
∫
4
11.112896
C
(
t
)
dt = = 2.778 42 2
0
4
Note: This response earns P1 for the correct integral with the correct answer as evidence of
division by 4. It also earns P2 for the correct answer. (In this instance, incorrect linkage is not
considered in scoring.)
o
∫
4
C
(
t
)
dt = 2.778224
0
Note: This response earns P1 for the correct integral with the correct answer as evidence of
division by 4. It also earns P2 for the correct answer. (In this instance, incorrect linkage is not
considered in scoring.)
• Note that the values
1
(
11.112
)
4
and
1
(
11.113
)
4
are accurate to three digits after the decimal and
therefore earn P2.
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End of Document
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FAQs of AP Calculus AB Scoring Guidelines 2025 Edition

What are the key components of the AP Calculus AB scoring guidelines?
The AP Calculus AB scoring guidelines detail how free-response questions are evaluated, focusing on accuracy, clarity, and mathematical reasoning. Each question is broken down into specific scoring points, allowing educators and students to understand what is required for full credit. The guidelines also provide model solutions that illustrate how to effectively communicate mathematical ideas, which is crucial for achieving high scores on the exam.
How are points allocated for free-response questions in AP Calculus AB?
Points for free-response questions in AP Calculus AB are allocated based on the correctness of the answers and the clarity of the mathematical reasoning presented. Each question typically has multiple scoring points, which may include points for setting up integrals, applying calculus concepts correctly, and providing accurate final answers. The guidelines emphasize that even minor errors in communication can affect scoring, making it essential for students to present their work clearly.
What is the significance of model solutions in the scoring guidelines?
Model solutions in the AP Calculus AB scoring guidelines serve as benchmarks for students and educators to understand the expectations for high-quality responses. They illustrate the correct application of calculus concepts and the level of detail required in answers. By reviewing these model solutions, students can learn how to structure their responses effectively and identify common pitfalls that may lead to lost points.
How can students use the scoring guidelines to prepare for the AP exam?
Students can use the AP Calculus AB scoring guidelines to enhance their exam preparation by familiarizing themselves with the types of questions asked and the scoring criteria. By practicing with past exam questions and comparing their responses to the model solutions provided in the guidelines, students can identify areas for improvement. Additionally, understanding the emphasis on clear mathematical communication can help students refine their problem-solving techniques.

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