Percent Increase and Decrease Quiz
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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
AP Calculus AB Guided Notes - Increasing and Decreasing Functions and the FDT
Aligned with Calculus for AP (2ed.) by Ron Larson and Paul Battaglia, these guided notes go through Chapter 3.3 - Increasing and Decreasing Functions and the First Derivative Test, and includes all theorems, definitions, and problems.
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus AB Guided Notes - Chapter 3 Applications of Differentiation
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
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
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
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
unit 7 exponential and logarithmic functions - graph , algebra 2
unit 7 exponential and logarithmic functions - graph , algebra 2Logarithmic Functions Graphing – Step-by-Step Sketching, Domain, Asymptotes & End Behavior (Student-Friendly Guide)This resource helps students understand and sketch logarithmic functions step by step, even at a basic or struggling level. It includes clear explanations in simple language to analyze logarithmic graphs: number of branches, increasing or decreasing behavior, inverse functions, and end behavior. Perfect for high sch
11th - 12th
Algebra 2, Calculus, Graphing
CCSS
HSF-LE.A.1
, HSF-LE.A.2
, HSF-LE.B.5
Also included in: bundle of logarithm function sketching graphing
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
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
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
11th - 12th, Higher Education
Calculus
Also included in: Calculus BC Topics Daily Quiz Bundle
Calculus AB Unit 1: Limits & Continuity Quiz | 10 MCQs, 2 Versions
This quiz includes 10 exam-style multiple-choice questions covering Calculus AB Unit 1: Limits (sections 1.2 through 1.6). It includes two parallel versions (A and B) with answer keys for each. Topics IncludeLimits graphicallyLimits from a tableEvaluating limits algebraicallyPolynomials, radicals, complex fractions, piecewise functions, absolute value functions, trigLimits at a vertical asymptoteIncluded10-question no calculator MCQ quizTwo parallel versions (Version A and Version B)Answer keys
10th - 12th
Calculus
Calculus Mini Quiz: Derivatives & Integrals, Timed Practice
Timed Calculus Quiz – Derivatives & Integrals (2 Versions Included!)Need a quick, ready-to-use calculus assessment? This timed quiz is designed to give students focused practice with derivatives and integrals in a short, structured format. Perfect for bell-ringers, exit tickets, pop quizzes, or formal assessments! ✨ What’s Included: 4-question quiz (2 derivative problems + 2 integral problems) Two unique versions of the quiz for variety or easy makeup testing Clear formatting for easy print
9th - 12th
Calculus, Physical Science, Physics
Also included in: AP Physics C Algebra + Calculus Review: Unit Bundle
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
9th - 12th, Higher Education
Calculus
Also included in: Calculus Part 3 Notes (Derivative and Antiderivative Methods)
Unit Circle: Study Sheet, Quiz, and Answer Key
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.
8th - 12th, Higher Education
Calculus, PreCalculus
CCSS
HSF-TF.A.1
, HSF-TF.A.2
, HSF-TF.A.3
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