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Preview of Calculus AB Unit 5 FRQs: 5 Exam-Style Questions with Detailed Solutions

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
Preview of Calculus AB Unit 5 MCQs Part 1: 38 Exam-Style Questions with Detailed Solutions

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
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 Calculus AB Unit 1: Limits & Continuity Quiz | 10 MCQs, 2 Versions

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
Preview of Calculus AB Unit 6 Quiz: 10 Calculator-Active MCQs, Two Versions

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
Preview of Calculus AB Unit 4 MCQs: 35 Exam-Style Questions with Detailed Solutions

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
Preview of Calculus AB Unit 4 FRQs: 4 Exam-Style Questions with Detailed Solutions

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
Preview of Calculus AB Unit 3 FRQs: 4 Exam-Style Questions with Detailed Solutions

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
Preview of Calculus AB Unit 7 Quiz (7.1-7.6): 10 MCQs, No Calculator, Versions A & B

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
Preview of Calculus AB Unit 5 MCQs Part 2: 30 Exam-Style Questions with Detailed Solutions

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
Preview of Calculus AB Unit 2 FRQs: 4 Exam-Style Questions with Detailed Solutions

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
Preview of Calculus AB Unit 6 FRQ Practice: 5 Multi-Part Questions w/ Detailed Solutions

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
Preview of Calculus AB Unit 8A Quiz: 10 MCQs, Calculator Active, Versions A & B

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
Preview of Calculus AB Unit 6 Test: MCQ and FRQ, No Calc. and Calc. Active, Two Versions

Calculus AB Unit 6 Test: MCQ and FRQ, No Calc. and Calc. Active, Two Versions

This test includes 16 exam-style multiple-choice questions and 3 multi-part free-response questions covering Calculus AB Unit 6: Integration and Accumulation of Change. The test has no-calculator and calculator-active sections and includes two parallel versions (A and B) with answer keys for each. Test Format16 multiple-choice questions (MCQs) and 3 multi-part free-response questions (FRQs)No Calculator and Calculator Active sections for eachAnswer key and FRQ scoring guidelines/rubrics included
Preview of Calculus AB Unit 1: Limits & Continuity Free-Response Practice | 5 FRQs

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
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