Percent Increase and Decrease Quiz
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Programs & methods
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
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
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 AB Unit 6 Quiz: 10 Calculator-Active MCQs, Two Versions
This quiz includes 10 exam-style multiple-choice questions covering the first half of Calculus AB Unit 6: Integration and Accumulation of Change. Topics go through 6.6 (Properties of Integrals). It includes two parallel versions (A and B) with answer keys for each. Topics Include:Accumulation of changeRiemann sums and the Trapezoidal RuleSigma notation and definite integral notationThe Fundamental Theorem of Calculus (Part 1)Behavior of accumulation functionsFormat and UseQuiz or unit checkRevie
10th - 12th
Calculus
Calculus AB Unit 4 MCQs: 35 Exam-Style Questions with Detailed Solutions
This resource includes 35 exam-style multiple-choice questions (MCQs) built around Unit 4: Contextual Applications of Derivatives, designed for students in a Calculus AB class or similar introductory calculus course. Topics include: Interpreting derivatives in contextStraight-line (rectilinear) motion with position, velocity, and accelerationRelated ratesLocal linearity (linearization)L’Hôpital’s RuleAnd moreFormat and UseExam-style MCQs with thoughtful distractors and a mix of calculator-active
10th - 12th
Calculus
Calculus AB Unit 4 FRQs: 4 Exam-Style Questions with Detailed Solutions
This resource includes 4 exam-style free-response questions (FRQs) built around Unit 4: Contextual Applications of Derivatives, designed for students in a Calculus AB class or similar introductory calculus course. Prompts focus on: Interpreting derivatives in contextStraight-line (rectilinear) motion with position, velocity, and accelerationRelated ratesLocal linearity (linearization)L’Hôpital’s RuleAnd moreFormat and UseMulti-part FRQs with clear reasoning steps and a mix of calculator-active a
10th - 12th
Calculus
Calculus AB Unit 3 FRQs: 4 Exam-Style Questions with Detailed Solutions
This resource includes 4 exam-style free-response questions (FRQs) built around Unit 3: Derivatives of Composite, Implicit, and Inverse Functions, designed for students in a Calculus AB class or similar introductory calculus course. Prompts focus on: The chain ruleImplicit differentiationDerivatives of inverse functionsDerivatives of inverse trigonometric functionsHigher-order derivativesAnd moreFormat and UseMulti-part FRQs with clear reasoning steps and a mix of calculator-active and non-calcu
10th - 12th
Calculus
Calculus AB Unit 7 Quiz (7.1-7.6): 10 MCQs, No Calculator, Versions A & B
This quiz includes 10 exam-style multiple-choice questions covering the first half of Calculus AB Unit 7: Differential Equations. Topics cover sections 7.1 through 7.6 (7.5, Euler's Method, is not part of this course and is not included). It includes two parallel versions (A and B) with answer keys for each. Topics IncludeModeling with differential equationsChecking solutions to differential equationsSlope fields: creating, interpreting, sketching a particular solutionFinding general solutions t
10th - 12th
Calculus
Calculus AB Unit 5 MCQs Part 2: 30 Exam-Style Questions with Detailed Solutions
This resource includes 30 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 2 of a two-part set. Topics focus on: The second derivative testCurve sketchingConnecting a function to its derivativesOptimizationBehaviors of implicit relationsAnd moreFormat and UseExam-style MCQs with thoughtful distractors and a mix of calculator-active and non-calcula
10th - 12th
Calculus
Calculus AB Unit 2 FRQs: 4 Exam-Style Questions with Detailed Solutions
This resource includes 4 exam-style free-response questions (FRQs) built around Unit 2: Definition of a Derivative and Basic Rules of Derivatives, designed for students in a Calculus AB class or similar introductory calculus course. Prompts focus on: The limit definitions of a derivativeDifferentiabilityThe power, product, and quotient rulesCommon derivatives (e^x and ln(x)) and trig derivativesAnd moreFormat and UseMulti-part FRQs with clear reasoning steps and a mix of calculator-active and n
10th - 12th
Calculus
Calculus AB Unit 6 FRQ Practice: 5 Multi-Part Questions w/ Detailed Solutions
This FRQ set includes 5 multi-part free-response questions covering Calculus AB Unit 6: Integration and Accumulation of Change. It includes a mix of calculator-active and non-calculator questions, with detailed solutions and rubrics. Topics Include:Accumulation of changeRiemann sums and the Trapezoidal RuleSigma notation and definite integral notationThe Fundamental Theorem of Calculus (Parts 1 and 2)Behavior of accumulation functionsProperties of definite integralsIndefinite integrals and commo
10th - 12th
Calculus
Calculus AB Unit 1 MCQs Part 2: 33 Exam-Style Questions with Detailed Solutions
This resource includes 33 exam-style multiple-choice questions (MCQs) built around Unit 1: Limits and Continuity, designed for students in a Calculus AB class or similar introductory calculus course. This is Part 2 of a two-part set. Topics focus on: Continuity and its definitionTypes of discontinuitiesRemoving discontinuitiesLimits to infinity (vertical asymptotes)Limits at infinity (horizontal asymptotes)The Intermediate Value Theorem (IVT)And moreFormat and UseExam-style MCQs with thoughtful
10th - 12th
Calculus
Calculus AB Unit 8A Quiz: 10 MCQs, Calculator Active, Versions A & B
This quiz includes 10 exam-style multiple-choice questions covering the Calculus AB Unit 8A: Applications of Integration (sections 8.1 to 8.6, the non-volume sections). It includes two parallel versions (A and B) with answer keys for each. Topics IncludeAverage value of a functionDisplacement and total distance with integralsFinding position from velocity and a starting pointNet Change Theorem and accumulation functions and integralsArea between curves as a function of xArea between curves as a
10th - 12th
Calculus
Calculus AB Unit 1 MCQs Part 1: 42 Exam-Style Questions with Detailed Solutions
This resource includes 42 exam-style multiple-choice questions (MCQs) built around Unit 1: Limits and Continuity, 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: Introduction to instantaneous rate of changeLimit definition and notationLimit propertiesLimits from graphs and tablesEvaluating limits using algebraic manipulation, including polynomials, radicals, complex fractions, piecewise functions, absolute v
10th - 12th
Calculus
Calculus AB Unit 1: Limits & Continuity Free-Response Practice | 5 FRQs
This resource includes 5 exam-style free response questions (FRQs) covering Calculus AB Unit 1: Limits & Continuity. Each question is multi-part and includes a complete answer key and a 9-point scoring rubric. All questions are no-calculator, which reflects the nature of the unit.Topics IncludeDefinition of a limit and limit notationLimits graphically and tabularlyProperties of limitsEvaluating limits algebraicallyPolynomials, radicals, complex fractions, piecewise, absolute value, trigThe squee
10th - 12th
Calculus
Summary of Derivative Rules
I compiled this graphic organizer so students can compare and contrast when to use which derivative rule - power, product, quotient, chain, and a mix of multiple. Many students forget to simplify the original expression to use one rule that is more direct over another, so I designed the problems to have students reflect on that piece as well. This serves as a good summary and includes various function types.
12th, Higher Education
Calculus
CCSS
HSA-SSE.A.1b
, HSA-SSE.A.2
Polar Coordinates Mystery Picture
Students will practice plotting polar coordinates to create a mystery picture. Coordinates include radians, degrees, negative angles and radii, and coterminal angles. When points are plotted and connected in order, the resulting picture is a sea turtle.
9th - 12th
Calculus, Graphing, PreCalculus
Polar Coordinates Mystery Picture
Students will practice plotting polar coordinates to create a mystery picture. Coordinates include radians, degrees, negative angles and radii, and coterminal angles. When points are plotted and connected in order, the resulting picture is a sea turtle. A link to an editable Google Doc is included.
9th - 12th, Higher Education
Calculus, Graphing, PreCalculus
Calculus AB Unit 7 MCQ Practice: 40 Exam-Style Questions with Answer Key
This MCQ practice set includes 40 exam-style multiple-choice questions covering Calculus AB Unit 7: Differential Equations. It includes a mix of calculator-active and no-calculator questions, with a complete answer key. Unlike my other MCQ sets, this resource includes fully worked solutions for selected questions rather than every question. Topics IncludeModeling with differential equationsChecking solutions to differential equationsSlope fields: creating, interpreting, sketching a particular so
10th - 12th
Calculus
Integral Applications Cheat Sheet | Area, Volume, Particle Motion, Accumulation
Help your students connect integrals to real-world meaning with this comprehensive Applications of the Definite Integral Cheat Sheet for AP Calculus! This 2–3 page resource clearly organizes the most important concepts from Unit 8, giving students a structured, easy-to-follow reference for both conceptual understanding and AP Exam success. 📘 What’s Included:• Accumulation and net change (with real-world contexts) • Interpreting integrals using units (NUT strategy included!) • Riemann sums
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
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