AP Calculus AB Scoring Guidelines 2025

AP Calculus AB Scoring Guidelines 2025

AP Calculus AB Scoring Guidelines for 2025 provide essential insights for educators and students preparing for the AP exam. These guidelines detail the scoring criteria for free-response questions, offering clarity on how to achieve maximum points. The document includes specific scoring notes, model solutions, and examples that illustrate the expectations for student responses. Ideal for AP Calculus students and teachers, this resource aids in understanding the evaluation process and improving exam performance.

Key Points

  • Outlines scoring criteria for AP Calculus AB free-response questions.
  • Includes model solutions and scoring notes for each question.
  • Explains average value calculations and instantaneous rates of change.
  • Covers topics such as limits, derivatives, and integrals relevant to the exam.
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  • MR ALi
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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
What scoring criteria are used for AP Calculus AB?
The AP Calculus AB scoring guidelines specify how free-response questions are evaluated, focusing on correctness, completeness, and clarity of the solutions. Each question is broken down into scoring points, with specific notes on what constitutes a correct response. For example, points may be awarded for correctly setting up integrals, applying the Fundamental Theorem of Calculus, or providing accurate numerical answers. Understanding these criteria helps students target their study efforts effectively.
How are average values calculated in AP Calculus AB?
Average values in AP Calculus AB are calculated using the formula for the average value of a continuous function over a specified interval. This involves integrating the function over that interval and then dividing by the length of the interval. The scoring guidelines provide examples that illustrate how to set up these calculations, emphasizing the importance of correct notation and the use of appropriate mathematical techniques.
What topics are covered in the AP Calculus AB scoring guidelines?
The AP Calculus AB scoring guidelines cover a range of topics essential for the exam, including limits, derivatives, integrals, and the application of these concepts in real-world scenarios. Specific questions may address the average rate of change, instantaneous rates of change, and the interpretation of graphical data. By reviewing these guidelines, students can gain insight into the types of problems they will encounter and how to approach them effectively.
How can students use the scoring guidelines to prepare for the AP exam?
Students can utilize the AP Calculus AB scoring guidelines to enhance their exam preparation by familiarizing themselves with the types of questions asked and the scoring rubrics applied. By studying model solutions and understanding the rationale behind scoring points, students can identify areas where they need improvement. Additionally, practicing with past exam questions and referring to the scoring notes can help students develop the skills necessary to maximize their scores.