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Programs & methods
AP Calculus AB Free Response Questions
This is 15 questions styled after the released AP questions. Eight of these questions are calculator and 7 are non-calculator.
Each of these questions is 3 parts: the question, the scoring guidelines, and a blank answer sheet for students to use. All are out of 9 points. (They are all posted separately also.)
These questions are on subjects such as: area/volume, velocity/acceleration, slope fields, related rates, trapezoidal sums, rates, implicit differentiation, continuity, and critical and
11th - 12th
Calculus
Free Body Diagrams Reading Comprehension Worksheets | Grade 11 AP
Are your students struggling to understand free body diagrams and forces in physics? These focused reading comprehension worksheets help students break down complex concepts like forces, equilibrium, and diagram analysis into clear, manageable practice. This ready-to-use resource supports physics literacy while reinforcing essential AP-level concepts-no prep required. This resource is designed to help Grade 11 AP Physics students build a strong understanding of free body diagrams through struct
11th
Algebra, Calculus, Physics
Also included in: Force and Translational Dynamics Reading Worksheets Bundle | Grade 11 AP
AP Calculus AB Related Rates Practice | 18 Free Response Problems
Give your calculus students meaningful practice with one of the most challenging topics in differential calculus: Related Rates. This worksheet contains 18 carefully designed free-response problems that require students to identify variables, create mathematical models, differentiate with respect to time, and interpret their results in context. The problems progress from foundational applications involving circles, spheres, cylinders, and cubes to more advanced scenarios involving ladders, sha
11th - 12th, Higher Education
Calculus
AP Calc AB Free-Response Question Bank by Unit
Prepare students for AP Calculus AB free-response success with this FRQ-Style Question Bank organized by unit and built for consistent weekly practice. Each unit includes three FRQ formats—Graph-based, Table-based, and Analytic/Modeling—so students learn to interpret representations, justify reasoning, and communicate solutions the way the exam requires. This resource is designed for steady skill growth: assign 1–2 FRQs per week, then use missed parts as targeted “mini-repairs” to close gaps
12th
Calculus, Math Test Prep
Calculus 100 Multiple Choice or Free Response Questions on Derivatives Context
This product contains 100 questions in both multiple choice format and free response format. This is in an editable Word format which allows you to delete questions, rearrange, or insert your own questions. You will not be able to edit the questions themselves. I also include the pdf versions. 100 multiple choice or free response questions similar to questions college level Advanced Calculus Exams. Questions cover unit 4 on derivatives in context including motion problems, related rates, local l
11th - 12th, Adult Education, Higher Education
Calculus, Math, Math Test Prep
Calculus 100 Multiple Choice or Free Response Questions on Chain Rule, Implicit
This product contains 100 questions in both multiple choice format and free response format. This is in an editable Word format which allows you to delete questions, rearrange, or insert your own questions. You will not be able to edit the questions themselves. I also include the pdf versions. 100 multiple choice or free response questions similar to questions college level Advanced Calculus Exams. Questions cover unit 3 on chain rule, implicit differentiation, inverse functions, inverse trig fu
11th - 12th, Adult Education, Higher Education
Calculus, Math, Math Test Prep
AP Physics C: Mechanics | Forces & Free-Body Diagrams | Task Cards | Grade 9-12
Are your students struggling to interpret forces and draw accurate free-body diagrams in AP Physics C: Mechanics? This comprehensive set of task cards provides structured, focused practice to help students master one of the most essential topics in physics. Understanding forces and free-body diagrams is critical for success in mechanics, yet many students find it challenging to identify forces, determine net force, and apply Newton’s laws correctly. This resource breaks down these concepts int
9th - 12th
Calculus, Physical Science, Physics
Calculus 80 Multiple Choice or Free Response Questions on Derivatives Basics
This product contains 80 questions in both multiple choice format and free response format. This is in an editable Word format which allows you to delete questions, rearrange, or insert your own questions. You will not be able to edit the questions themselves. I also include the pdf versions. 80 multiple choice or free response questions similar to questions college level Advanced Calculus Exams. Questions cover rate of change (graph, table, function), derivative definitions, differentiability,
11th - 12th, Adult Education, Higher Education
Calculus, Math, Math Test Prep
AP Calculus Free Response Packet
This packet contains 18 multi-part questions modeled after past AP Calculus free response questions. This document can be used as an AP exam review packet or split up and used throughout the course (which is what I intended in writing the problems). The packet covers most all of the content in AP Calculus AB. I also sell these same problems divided up into four units (differentiation, applications of differentiation, integration, differential equations and applications of integration).
10th - 12th, Higher Education
Calculus, Math
AP Pre Calc Free Response Practice Test
Product Title: AP Precalculus Free Response Practice Test - Units 1 & 2 (Editable & with Key)Elevate your AP Precalculus prep with this comprehensive, classroom-ready Free Response Question (FRQ) set! This resource features four meticulously crafted multi-part questions that mirror the specific rigor, "task verbs," and formatting of the official College Board AP Precalculus Exam. Whether used as a unit test, a mock exam, or targeted homework, these problems challenge students to apply their kno
10th - 12th
Calculus, Math Test Prep, PreCalculus
AP Physics C | Constructing Free-Body Diagrams | 3 Worksheets | Grade 9-12
Grab this opportunity to give your students the foundational skills they need to master free-body diagrams with this comprehensive AP Physics C resource for Grades 9–12! This three-part worksheet bundle is focused entirely on constructing, analyzing, and interpreting free-body diagrams—essential tools for success in any physics classroom. A strong understanding of force diagrams lays the groundwork for solving complex problems in Newtonian mechanics. This resource guides students step-by-step t
9th - 12th
Calculus, Physical Science, Physics
Calculus 70 Multiple Choice or Free Response Questions on Limits and Continuity
This product contains 70 questions in both multiple choice format and free response format. This is in an editable Word format which allows you to delete questions, rearrange, or insert your own questions. You will not be able to edit the questions themselves. I also include the pdf versions. 70 multiple choice or free response questions similar to questions college level Calculus Exams. Questions cover limits by direct substitution, finding limits graphically, finding limits algebraically, fi
11th - 12th, Adult Education, Higher Education
Calculus, Math, Math Test Prep
Calculus Back to School Ice Breaker - Fun Activity Freebie
This Calculus Back to School Engaging Ice Breaker is designed as a first week or even first day warm up. So many Calculus students get very nervous about remembering all they learned from last year and start the school year stressing. Break the Ice with this small group Task Card activity. Your students will realize they remember way more than they think and have fun doing it. It is not meant to be difficult, but it gets them back in school mode and math mode along with renewing friendsh
10th - 12th
Calculus, Math
AP Calculus Applications of Differentiation Unit Free Response Questions
Excellent for inclusion during the Applications of Differentiation Unit or AP Test Prep! This packet contains 5 multi-part free response questions. These questions were modeled after past AP exam questions. The questions focus on applications of differentiation, including extrema, concavity, horizontal and vertical tangent lines, kinematics, and the Mean Value Theorem.
11th - 12th
Calculus, Math
FREE AP Calculus AB/BC | Unit 0: PreCalculus Review | Notes and Homework
Product Description - Class: AP Calculus AB/BC Topic: Unit 0: PreCalculus Review Lesson 0.1 – Types of Functions Lesson 0.2 – Intro to Trigonometry Topics covered include: - linear, quadratic, cubic, exponential logarithmic, rational, absolute value, square root, greatest integer (step), trigonometric, polar, and parametric functions - trig ratios - degrees vs. radians - unit circle - inverse trig - trig identities _________________________________________________
9th - 12th
Calculus, Other (Math), PreCalculus
Limits Bundle with FREE review and test (worksheets and video lessons)
This worksheet bundle will show your students how to find limits graphically, algebraically, and using special trigonometric limits. There is a separate bundle without videos if interested. You can access the instructional videos for this bundle here:Finding a Limit GraphicallyFinding a Limit AlgebraicallyLaws of LimitsOne Sided Limits and Limits to InfinitySpecial LimitsYou can access individual packets here:Finding a Limit GraphicallyFinding a Limit AlgebraicallyLaws of LimitsOne Sided Limits
11th - 12th, Higher Education
Calculus, PreCalculus
AP Calculus AB Free Response Bundle
This is the AP Calculus AB Free Response Curriculum Bundle that offers 11 handmade worksheets comprised of Free Response problems to go alongside the available homework curriculum, along with the key. This is also available in the Ultimate Bundle. If you'd like to purchase this without a PO or if you have any questions, please email me at duncans@adapss.com.
10th - 12th
Calculus, Math
AP Calculus AB Free Response Curriculum Packet
This is the AP Calculus AB Free Response Curriculum Packet that offers 11 handmade worksheets comprised of Free Response problems to go alongside the available homework curriculum. The key is available separately, in the Free Response Bundle, and in the Ultimate Bundle If you'd like to purchase this without a PO or if you have any questions, please email me at duncans@adapss.com.
10th - 12th
Calculus, Math
DISTANCE LEARNING -Evaluating Limits - PIXEL ART FREEBIE - DIGITAL GOOGLE SHEETS
CALCULUSThis 8 question FREEBIE on evaluating limits by substitution requires students to input the correct answer and the picture will appear!! If no new squares are coloured, the answer is incorrect so students can self-check and review. A fun way for students to get instant feedback on their maths. An engaging way to get students to practice evaluating limits! These digital and self-checking activities work with ANY device with Google™ Sheets (iPads, Chromebooks, and more). Easily integrate
11th - 12th, Higher Education
Calculus, Math, PreCalculus
AP Calculus AB Free Response Curriculum Key
This is the AP Calculus AB Free Response Curriculum Key. This is available in my Free Response Bundle and the Ultimate Bundle. If you'd like to purchase this without a PO or if you have any questions, please email me at duncans@adapss.com.
10th - 12th
Calculus, Math
AP Calculus - Particle Motion Free Response Practice Problem
AP* Calculus AB Free Response Practice Problem on Particle Motion - This is a graph analysis problem and would be a non-calculator question.
*AP is a registered trademark of College Board and does not endorse this product.
11th - 12th
Calculus
AP Calculus Integration Unit Free Response Questions
Excellent for inclusion during the Integration Unit or AP Test Prep! This packet contains 4 multi-part free response questions. These questions were modeled after past AP exam questions. The questions focus on integration, including Riemann sums, trapezoidal approximations, net change, total distance, accumulation functions, and the average value of a function over a given interval.
11th - 12th
Calculus, Math
AP Calculus Differentiation Unit Free Response Questions
Excellent for inclusion during the Differentiation Unit or AP Test Prep! This packet contains 5 multi-part free response questions. These questions were mostly modeled after past AP exam questions. The questions focus on differentiation, including tangent lines, rates of change, continuity, implicit differentiation, and related rates. Answer key is included.
11th - 12th
Calculus, Math
AP Calculus Free Response Practice
Free Response practice problems! This is a set of eight practice problems complete with answers and scoring guide. Get your students ready for the AP Exam with these practice problems based on the themes that appear most frequently on past exams. Practicing these problems will give your students the confidence they need going into the exam. Note: For maximum benefit this product can be paired with the helpful Free Response Guide full of helpful advice and strategies to maximize scores. https://w
11th - 12th
Calculus, Math
Also included in: AP Calculus Free Response Guide and Practice Problems
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