Percent Increase and Decrease Quiz
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Analytical Applications of Differentiation (AP Calculus AB - Unit 4)
Analytical Applications of Differentiation Calculus Unit Bundle:This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Analytical Applications of Differentiation (Unit 4). This unit contains 6 lessons. Lesson 4.1: Using the Mean Value TheoremLesson 4.2: Extrema on an IntervalLesson 4.3: Increasing and Decreasing Intervals and The First Derivative TestLesson 4.4: Concavity and
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
Calculus AB Unit 5 FRQs: 5 Exam-Style Questions with Detailed Solutions
This resource includes 5 exam-style free-response questions (FRQs) built around Unit 5: Function Analysis with Derivatives, designed for students in a Calculus AB class or similar introductory calculus course. Prompts focus on: The Mean Value Theorem (MVT)The Extreme Value Theorem (EVT)Intervals of increase/decreaseThe first derivative testFinding absolute extrema with the candidates testConcavityThe second derivative testCurve sketchingConnecting a function to its derivativesOptimizationBehavio
10th - 12th
Calculus
Calculus AB Unit 5 MCQs Part 1: 38 Exam-Style Questions with Detailed Solutions
This resource includes 38 exam-style multiple-choice questions (MCQs) built around Unit 5: Function Analysis with Derivatives, designed for students in a Calculus AB class or similar introductory calculus course. This is Part 1 of a two-part set. Topics focus on: The Mean Value Theorem (MVT)The Extreme Value Theorem (EVT)Intervals of increase/decreaseThe first derivative testFinding absolute extrema with the candidates testConcavityAnd moreFormat and UseExam-style MCQs with thoughtful distractor
10th - 12th
Calculus
Matching Slope Fields and Differential Equations Color by Number Activity
Help your Calculus students practice slope fields and differential equations with this Slope Fields Color by Number Activity, a fun, low-prep calculus worksheet perfect for AP Calculus AB. Students will practice interpreting slope fields by matching each slope field to the correct differential equation. This resource is perfect for helping students connect the visual representation of a differential equation to the behavior it models. Students will analyze key features such as: where slopes
11th - 12th
Calculus, Math
AP CALCULUS AB - 5.9 CONNECTING F(X) WITH ITS 1ST & 2ND DERIVATIVES WORKSHEET
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
10th - 12th, Higher Education
Applied Math, Calculus, Math
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
10th - 12th, Higher Education
Calculus, PreCalculus
Calculus 1st First Derivative Test Digital Maze
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,
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Digital Activity Bundle First Semester with Printables
AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET
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
10th - 12th, Higher Education
Calculus
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
12th, Higher Education
Calculus
Also included in: AP® Calculus AB - Full Course Curriculum
Calculus Curve Sketching Activity Mystery Printable
Engage your students with The Case of the Chaotic Curves, a fun and challenging AP Calculus curve sketching activity! In this Detective Digit mystery, students analyze functions using key calculus concepts like increasing and decreasing, relative extrema, concavity, and points of inflection to solve the case. This no-prep activity includes multiple choice questions that require students to interpret f(x), f′(x), and f′′(x), making it perfect for AP Calculus AB review, test prep, or a fast
11th - 12th
Calculus
Calculus Derivatives Bundle of Fun
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
11th - 12th, Higher Education
Calculus
Limits Bundle of Fun Activities for Calculus
Even Calculus kids need to have fun! This Limits and Continuity Fun Activity Bundle for Calculus 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. Included are Mazes, Games, FUN Notes, Color by Number, Digital Activiti
10th - 12th
Calculus, PreCalculus
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
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus AB 1-Pager Bundle | Complete Exam Review & Concept Maps
graph logarithm and inverse function : exponential , rational exponents function
Graphing Logarithmic Function, Domain , Asymptotes & end behaviour Rational function inside logarithm + inverse function nested logarithm analysis of the function with detailed explanation for exam preparation It includes clear explanations in simple language to analyze logarithmic graphs: number of branches, increasing or decreasing behavior, inverse functions, and end behavior.
11th
Algebra 2, Calculus, Graphing
CCSS
HSF-IF.A.1
, HSF-IF.C.7d
, HSF-IF.C.7e
+4
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
11th - 12th, Higher Education
Calculus
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
11th - 12th, Higher Education
Calculus, PreCalculus
Calculus Matching Graphs of Derivatives, f, f', f'' Digital Activity
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
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Digital Activity Bundle First Semester with Printables
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
9th - 12th, Higher Education
Calculus, Graphing
Also included in: Advanced Curve Sketching Practice & Key— Calculus AB/Calculus 1
Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates
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
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
5 INCR./DECR., RELATIVE EXTREMA, GIVEN F' IDENTIFY CHARACTERISTICS OF F
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,
10th - 12th, Higher Education
Calculus
Graphs of First & Second Derivatives Identify and Match f, f', f''
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
11th - 12th, Higher Education
Calculus, Graphing
Also included in: Calculus Applications of Differentiation Unit Bundle
AP Calculus Applications of Derivatives Multiple Choice Practice – AB/BC
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
9th - 12th, Higher Education
Calculus, Math Test Prep, Other (Math)
Calculus AB Differential Units MCQ Bundle: 258 Questions w/ Detailed Solutions
This bundle combines 258 exam-style multiple-choice questions (MCQs) covering all differential calculus units (Units 1–5) for students in a Calculus AB class or similar introductory calculus course. Topics include: Limit definition and propertiesEvaluating limits algebraically and from graphs and tablesThe squeeze theoremDefinitions of continuity and differentiabilityLimit definitions of a derivativeThe power, product, quotient, and chain rulesImplicit differentiation and behavior of implicit re
10th - 12th
Calculus
Calculus AB Differential Units FRQ Bundle: 21 Questions w/ Detailed Solutions
This bundle includes all 21 exam-style free-response questions (FRQs) covering all differential calculus units (Units 1–5) for students in an AP Calculus AB class or similar introductory calculus course. Topics include: Limit definition and propertiesEvaluating limits algebraically and from graphs and tablesThe squeeze theoremDefinitions of continuity and differentiabilityLimit definitions of a derivativeThe power, product, quotient, and chain rulesImplicit differentiation and behavior of implic
10th - 12th
Calculus
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