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
Polynomial Functions and Rate of Change AP Precalculus 1.4 Digital Activity
Engage your students in the AP® Precalculus Unit 1.4 Polynomial Functions and Rate of Change lesson with this NO PREP, self-checking Two Truths and a Lie digital activity! Students practice identifying key characteristics of polynomial functions while getting instant feedback. For added flexibility, printable task cards and a worksheet are included for hands-on learning or independent practice. ✅ACTIVITY SKILLS:Identify relative (local) and absolute (global) extremaIdentify degree and leading
10th - 12th
PreCalculus
Also included in: Unit 1 Polynomial and Rational Functions AP Precalculus Activity Bundle
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
AP PreCalculus 90 Word Wall Bulletin Board Posters Anchor Charts
This AP® PreCalculus Vocabulary Word Wall or Anchor Charts will help your students grasp essential concepts and terminology with colorful visual topic posters. Use as a Word Wall or on a Bulletin Board. Let your classroom walls engage your students and help teach and reinforce important topics. Included are 80 posters with topics for AP PreCalculus with emphasis on visuals and not formulas. The Posters are arranged by unit and the resource also includes 4 Posters which list the topics as d
10th - 12th
PreCalculus
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
Exploration Topic 3.15 for AP Precalculus - Rates of Change of Polar Functions
Help your AP Precalculus students explore rates of change in polar functions in a hands-on, visual way! This introductory activity focuses on Topic 3.15: Increasing and Decreasing on Polar Functions, guiding students through table completion, graphing, and color-coded analysis to deepen understanding of function behavior. Students will: ✔ Complete a table of values for a polar function. ✔ Graph the function on the coordinate plane ✔ Plot the function on a polar grid ✔ Highlight intervals wit
10th - 12th
Algebra 2, PreCalculus
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
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
Exponential Functions AP Precalculus 2.3 Self-Checking Activity
Students practice the 2.3 Exponential Functions lesson from AP® Precalculus with this fun, NO PREP, self-checking digital Path Activity! Printable worksheet included for flexibility in your classroom! ACTIVITY SKILLS:2.4A Identify key characteristics of exponential functions - increasing/decreasing behavior, concavity, end behavior, etc.WHAT'S INCLUDED:Digital Self-Checking Activity using Google Sheets™ (12 Questions)Printable WorksheetAnswer Keys IncludedAP® is a registered trademark of the C
10th - 12th
PreCalculus
AP Precalculus Free Response Question 3 Test Prep Review Stations
Keep students engaged during AP Precalculus test prep with these FRQ #3 stations! Students will focus on constructing models of periodic (sinusoidal) contexts. In a series of nine stations, students will work through THREE real-world scenarios ... Labeling five key points on a graphWriting both a sine and cosine equationDescribing an interval as positive/negative, increasing/decreasing, concave up/concave downDeterming how the rate of change of the function is changing over a certain interva
9th - 12th
Applied Math, Math Test Prep, PreCalculus
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
Change in Tandem AP Precalculus 1.1 Self-Checking Activity
Students practice the 1.1 Change in Tandem lesson from AP® Precalculus with this fun, NO PREP, self-checking digital Mystery Picture Reveal Activity! Printable task cards included for flexibility and hands-on engagement. ⭐️ACTIVITY SKILLS:Identify if a given relation is a functionFind the domain and range of a functionIdentify intervals of increasing and decreasing of a functionFind points of inflection and intervals of concavity of a functionEvaluate a function at a certain valueFind all of
10th - 12th
PreCalculus
Also included in: Unit 1 Polynomial and Rational Functions AP Precalculus Activity Bundle
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
Polynomial and Rational Functions Anchor Charts Unit 1 AP Precalculus
This bundle includes ten different anchor charts related to AP Precalculus topics for Unit 1: Polynomial & Rational Functions. There are two versions of each chart. One is a blackline master that is in a template format, while the second version is a full-color completed chart. You can print them to hang in your classroom as you introduce the topics; or, create all of the charts and post them as a year-long reminder. ⭐ What topics are included:Graphical Behavior-Increase/Decrease and Concavity
10th - 12th
Math Test Prep, PreCalculus
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
Calculus AB All Differential Units MCQ & FRQ Bundle (279 Questions)
This bundle includes 21 exam-style free-response questions (FRQs) and 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 rulesImp
10th - 12th
Calculus
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
10th - 12th, Higher Education
Calculus, Graphing, PreCalculus
AP Calculus Unit 5 Coloring Pages : MVT, Increasing/Decreasing, Concavity
✨ AP Calculus Unit 5 Coloring Pages – Engaging Review for Derivatives, MVT, and Curve Analysis! ✨Make your Unit 5 instruction unforgettable with this set of AP Calculus–aligned coloring pages designed to reinforce some of the most important derivative concepts in a visual and interactive way! These pages are perfect for classwork, stations, early finisher work, homework, or test review—and they add just the right amount of creativity to rigorous AP content. This resource includes 5 high-qualit
10th - 12th
Calculus
Calculus AB Review Parts 3&4: Guided Notes, Practice Problems, Mini Exams
This is Parts 3 and 4 of a 6-part comprehensive review series for Calculus AB. These two parts align with many sections of Units 3, 4, and 5 but are reorganized for more effective review. Some topics (like the chain rule) are covered in another resource, and others (like the IVT) have been moved here for a more natural flow. See below for the list of topics covered. This resource is designed to help students build confidence and prepare for end-of-year exams. Topics Include:Part 3: Derivative Ap
10th - 12th
Calculus
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