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Preview of AP CALCULUS AB - 5.9 CONNECTING F(X) WITH ITS 1ST & 2ND DERIVATIVES WORKSHEET

AP CALCULUS AB - 5.9 CONNECTING F(X) WITH ITS 1ST & 2ND DERIVATIVES WORKSHEET

Created by
MATH WITH YOSH
This Calculus worksheet is intended for students after they have learned the 5.9 AP Calculus AB Topic: "Connecting a Function, Its First Derivative, and Its Second Derivative." When given the graph of f', often times my students struggle with identifying where the graph of f has a local minimum or maximum, where f is increasing/decreasing, or identifying where the graph of f is concave up/down, or has a point of inflection. Similarly, when given the graph of f'', they tend to struggle with ide
Preview of Mega Practice Set: Binomial Expansion (AP Precalculus suitable)

Mega Practice Set: Binomial Expansion (AP Precalculus suitable)

This resource includes: 50 exercises progressing from core skills to AP-style advanced questions 6 levels of increasing difficulty so students can build confidence as they go Complete answer keySuitable for in-class work, homework, quizzes, and review sessionsIdeal for AP teachers, tutors, and self-study students
Preview of Calculus 1st First Derivative Test Digital Maze

Calculus 1st First Derivative Test Digital Maze

Created by
Joan Kessler
Your Calculus students use the 1st Derivative Test in this fun digital Zombie themed activity to determine if the given function is increasing, decreasing, or neither at a given point. This activity is designed to be used without Graphing calculators. Each answer leads them to the next question. There are 16 problems and students must complete 15 of them to correctly complete the maze. Derivatives include the product rule, quotient rule, chain rule, sine, cosine, inverse sine, logarithmic,
Preview of AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET

AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET

Created by
MATH WITH YOSH
This Calculus worksheet is intended for students after they have learned the 7.9 Logistic Models with Differential Equations lesson from Unit 7 (AP Calculus BC Course and Description). In this worksheet, I have included multiple choice practice problems where students apply the model for logistic growth: dy/dt=ky(a-y). Given a logistic differential equation, students will then be able to identify: 1. The limiting value (carrying capacity) 2. The graph of the solution to a logistic differential
Preview of AP® Calculus AB/BC - Unit 5: Analytical Applications of Differentiation

AP® Calculus AB/BC - Unit 5: Analytical Applications of Differentiation

This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 5: Analytical Applications of Differentiation5.1 The Mean Value Theorem (MVT) and Rolle's Theorem 5.2 Using the First Derivative Test (Increasing/Decreasing, Critical Points) 5.3 Using the First Derivative Test (Relative Extrema) 5.4 Using the Second Derivative Test (Con
Preview of Calculus Derivatives Bundle of Fun

Calculus Derivatives Bundle of Fun

Created by
Joan Kessler
Even Calculus kids need to have fun! This Derivatives Fun Bundle for Calculus plus Bonus is just what they need for a boost. Though these resources are engaging and fun, they are also rigorous and comprehensive and designed to increase proficiency in this unit. Use for end of unit, end of year review, Sub folder, extra credit, or a fun assessment. All answer keys included. Some also include Homework and quizzes. ________________________________________________________ Add to your bundle! Email
Preview of Applications of Derivatives 1-Pager AP Calculus AB

Applications of Derivatives 1-Pager AP Calculus AB

AP Calculus AB: Applications of Derivatives 1-Pager | Extrema, Concavity & OptimizationHelp your students master one of the most heavily tested AP topics with this comprehensive applications of derivatives summary sheet. Includes: ✔ Critical numbers and extrema ✔ First and Second Derivative Tests ✔ Increasing/decreasing intervals ✔ Concavity and points of inflection ✔ Optimization strategy ✔ Rolle’s Theorem ✔ Mean Value Theorem ✔ Curve sketching checklist ✔ Tangent line approximation & different
Preview of Derivative Detectives: f, f ′ , and f ′′  Graphing Activity | Calculus Review

Derivative Detectives: f, f ′ , and f ′′ Graphing Activity | Calculus Review

Turn derivative graph analysis into an engaging mystery with Derivative Detectives! In this calculus activity, students act as detective mathematicians as they analyze evidence, examine suspect graphs, and connect a function with its first and second derivatives. Students practice identifying relationships between f, f′, and f′′ using increasing/decreasing behavior, local extrema, concavity, inflection points, and derivative sign patterns. What’s Included Teacher instructions Student packet
Preview of Power Rule Worksheet

Power Rule Worksheet

This Power Rule worksheet provides straightforward, independent practice for students learning how to differentiate functions using the Power Rule. Unlike a guided worksheet, this resource is designed for students who are ready to apply the rule on their own without structured steps or prompts. The problems increase in complexity to help build fluency and confidence while reinforcing foundational derivative skills. Perfect for classwork, homework, bell-ringers, or quick review before quizzes and
Preview of Calculus Matching Graphs of Derivatives, f, f', f''  Digital Activity

Calculus Matching Graphs of Derivatives, f, f', f'' Digital Activity

Created by
Joan Kessler
In this Calculus Interactive Digital Graphs of the Derivatives Using Curve Sketching your students will examine three graphs on each slide to determine which is the graph of original function, the graph of first derivative, and the graph of the second derivative. They will use their knowledge about derivatives, increasing and decreasing functions, max's and min's, and points of inflection to complete the assignment. IncludedPDF with links to the product. Detailed illustrated instructions on a
Preview of Advanced Curve Sketching Practice — Calculus AB/Calculus 1

Advanced Curve Sketching Practice — Calculus AB/Calculus 1

Transform curve sketching from a memorized checklist into a meaningful reasoning process. This Calculus AB practice packet gives students 10 full curve-sketching problems that build conceptual understanding through progressively challenging function types — polynomial, rational, trigonometric, logarithmic, exponential, and piecewise. Each question leads students through: Domain and range reasoning Continuity and differentiability Critical points and increasing/decreasing intervals Concavi
Preview of Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates

Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates

Created by
KingMamaMath
Take your students beyond basic derivatives with this powerful Applications of Derivatives Cheat Sheet for AP Calculus! This 2-sided, one-page resource clearly organizes the most important concepts from Units 4 & 5, helping students apply derivatives in real-world and exam-style situations. 📘 What’s Included:• Mean Value Theorem (MVT) • Extreme Value Theorem (EVT) • Critical points and the Candidate’s Test • Increasing & decreasing intervals • First and Second Derivative Tests • Concavity and
Preview of 5 INCR./DECR., RELATIVE EXTREMA, GIVEN F' IDENTIFY CHARACTERISTICS OF F

5 INCR./DECR., RELATIVE EXTREMA, GIVEN F' IDENTIFY CHARACTERISTICS OF F

Created by
MATH WITH YOSH
This Calculus worksheet is intended for students after they have learned the following topics (Unit 5 AP Calculus Course and Description): 5.3 - Determining intervals on which a function is increasing or decreasing 5.4 - Using the first derivative test to determine relative (local) extrema In this worksheet, students will practice given the graph of f', identifying the intervals of increase and decrease of f and where f has a local minimum and maximum. They will also practice given a function f,
Preview of Graphs of First & Second Derivatives Identify and Match f, f', f''

Graphs of First & Second Derivatives Identify and Match f, f', f''

Created by
Joan Kessler
In this activity students practice identifying the Graphs of a function and its first and second derivative, f, f ', and f ''. They analyze 3 graphs, one blue, one black, and one red, superimposed on the same coordinate grid, to determine which is the graph of original function, the graph of first derivative, and the graph of the second derivative. The activity does not require differentiation, but requires students to understand increasing, decreasing, relative extrema, and concavity. Man
Preview of AP Calculus Applications of Derivatives Multiple Choice Practice – AB/BC

AP Calculus Applications of Derivatives Multiple Choice Practice – AB/BC

Created by
Coach Calculus
AP Calculus Applications of Derivatives Multiple Choice Practice – 25+ AP-style questions covering related rates, optimization, straight-line motion, curve analysis, and the Mean Value Theorem. Aligned to AP College Board CED Units 4-5. Helps students master real-world applications of differentiation and build exam readiness without unnecessary trick questions.What's Included:Original AP-style multiple choice questions covering:Straight-line motion (position, velocity, acceleration)Interpreting
Preview of Mega Practice Set – Graphs of Exponential Functions (AP Precalculus)

Mega Practice Set – Graphs of Exponential Functions (AP Precalculus)

This Mega Practice Set is a collection of 32 multiple-choice exercises designed to help students master the behavior and graphing properties of exponential functions. Perfect for AP Precalculus classes, tutoring sessions, review days, and targeted skills practice. This PDF is organized into three levels of difficulty: Level 1 – Exponential Growth/Decay & LimitsStudents determine whether a function represents growth or decay, analyze end behavior, and calculate limits Level 2 – Table Interpre
Preview of Infinite Sequences and Series Daily Quizzes (BC Calculus - Unit 10)

Infinite Sequences and Series Daily Quizzes (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus Unit 10-BC Daily Quiz Bundle provides you with a  customizable and  fully-editable resource of daily content quizzes that cover the topics for Infinite Sequences and Series. ⭐⭐ The  Ready-to-Go Daily Quiz Bundle will cover the 15 topics stated in the College Board Course Framework (CED). The daily quizzes are designed to be completed in 10-15 minutes. Each set of Daily Quizzes is designed to cover the standards of the course and help you assess understanding as you move
Preview of AP CALCULUS AB - UNITS 1-4 FORMULA STUDY GUIDE & FORMULA QUIZ

AP CALCULUS AB - UNITS 1-4 FORMULA STUDY GUIDE & FORMULA QUIZ

Created by
MATH WITH YOSH
Need a comprehensive formula sheet to help your AP Calculus students study for a Comprehensive Exam on Units 1-4? This ready-to-print all inclusive study guide, fill in the blank study guide, & formula quiz, makes reviewing the essential theorems, formulas, and definitions easy, while reinforcing the necessary content to pass an Exam! What's Included:(1) A Comprehensive Study Guide, including theorems, formulas, and definitions from Units 1-4 of the AP Calculus AB Course and Exam Description.(2)
Preview of Calculus Formula Sheet/Bookmark and Seven Quizzes

Calculus Formula Sheet/Bookmark and Seven Quizzes

This includes a document that can be copied front to back to provide a 1/2 page reference sheet of all the derivative and integral rules for AP Calculus AB and BC. If you print it 2 pages to one, you can create bookmarks (use cardstock) for students to use in their interactive journals. My students liked the bookmarks and liked that they could pull it out as needed. This also contains 7 "formula" quizzes. They are the same exact formulas with the right-hand column blank - they are just mixed up
Preview of Unit Circle: Study Sheet, Quiz, and Answer Key

Unit Circle: Study Sheet, Quiz, and Answer Key

Created by
Jesse Arnold
This resource includes a blank unit circle with areas to fill in the radian angles, degree angles, sine values, cosine values, and tangent values for student practice. Additionally, a unit circle quiz and answer key are also included with directions and a full page of problems of various difficulty levels to solve with a completed unit circle.
Preview of Polar Functions, Parametric Functions, and Vector Functions End of Unit Review

Polar Functions, Parametric Functions, and Vector Functions End of Unit Review

Created by
Joan Kessler
This comprehensive End of Unit Review for Polar Functions, Parametric Functions, and Vector Functions will give your PreCalculus and AP PreCalculus students a solid review with extra practice practice. These activities,organizers, and worksheets also make a great review for AP Calculus BC Unit 9. What's included?4 versions of the review / assessment, each with 57 well chosen representative questions. Two versions are multiple choice format and two are free response. The assessments / revi
Preview of Limits and Continuity Digital and Print Super Bundle for Calculus

Limits and Continuity Digital and Print Super Bundle for Calculus

Created by
Joan Kessler
This Limits and Continuity Unit Super Bundle for Calculus is teaming with Activities, Notes, Foldables, HW, and Assessments and will engage your students and enhance their learning. It also includes Digital Activities and Assessments enabling you to teach in a traditional, distance learning, or blended classroom. The Super combo bundle is comprised of: Limits and Continuity - Unit Bundle  Limits and Continuity Digital Activity Bundle Included are Guided Notes, Graphic Organizers, Task Cards
Preview of Calculus 1 Editable Unit Tests, Exams, and Assessments Bundle or Review

Calculus 1 Editable Unit Tests, Exams, and Assessments Bundle or Review

Created by
Joan Kessler
This bundle of 4 Editable Unit Exams for the Main Units in Calculus 1 will save you hours of time. Each rigorous test comes with typed full solutions for each problem. There are over 88 problems, some with multiple parts. The units are: Limits and ContinuityDerivativesApplications of the DerivativeIntegration The tests are in two formats. First is a formatted PDF version ready to print and go. The editable versions are created in MS PowerPoint and/or MS Word. You may need an equation e
Preview of AP CALCULUS BC- UNIT 10 CONVERGENCE & DIVERGENCE (INFINITE SERIES) TESTS HANDOUT

AP CALCULUS BC- UNIT 10 CONVERGENCE & DIVERGENCE (INFINITE SERIES) TESTS HANDOUT

Created by
MATH WITH YOSH
This AP Calculus BC Convergence & Divergence Tests Handout is great! It includes all of the convergence and divergence tests, including descriptions of what students should look for when identifying which test to use. I print it on colored cardstock for my students when we are covering the topics from Unit 10, Infinite Sequences and Series. I hand it out to my students to use as a reference on their homework, and for preparing and studying for our unit test. I notice that before our unit test s
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