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Programs & methods
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
AP Pre Calc Free Response Practice Test
Product Title: AP Precalculus Free Response Practice Test - Units 1 & 2 (Editable & with Key)Elevate your AP Precalculus prep with this comprehensive, classroom-ready Free Response Question (FRQ) set! This resource features four meticulously crafted multi-part questions that mirror the specific rigor, "task verbs," and formatting of the official College Board AP Precalculus Exam. Whether used as a unit test, a mock exam, or targeted homework, these problems challenge students to apply their kno
10th - 12th
Calculus, Math Test Prep, PreCalculus
Calculus Back to School Ice Breaker - Fun Activity Freebie
This Calculus Back to School Engaging Ice Breaker is designed as a first week or even first day warm up. So many Calculus students get very nervous about remembering all they learned from last year and start the school year stressing. Break the Ice with this small group Task Card activity. Your students will realize they remember way more than they think and have fun doing it. It is not meant to be difficult, but it gets them back in school mode and math mode along with renewing friendsh
10th - 12th
Calculus, Math
FREE Power Rule Discovery Activity | Derivatives Using the Limit Definition
Help your students discover the Power Rule on their own with this engaging, inquiry-based calculus activity! Rather than being given the rule, students use the limit definition of the derivative to calculate derivatives, identify patterns, and develop the Power Rule through mathematical reasoning and collaboration.This activity encourages students to look for structure, make conjectures, and justify their thinking before applying the rule to increasingly challenging functions. Students then exte
10th - 12th
Calculus, Math Test Prep
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
Calculus AB Unit 5 FRQ & MCQ Bundle: 5 FRQs, 68 MCQs w/ Detailed Solutions
This bundle includes 5 exam-style free-response questions (FRQs) and 68 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. Together, these cover the full range of Unit 5 topics: The Mean Value Theorem (MVT)The Extreme Value Theorem (EVT)Intervals of increase/decreaseThe first derivative testFinding absolute extrema with the candidates testConcavityThe second der
10th - 12th
Calculus
Calculus AB Unit 2 FRQ & MCQ Bundle: 4 FRQs, 50 MCQs w/ Detailed Solutions
This bundle includes 4 exam-style free-response questions (FRQs) and 50 exam-style multiple-choice questions (MCQs) 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. Together, these cover the full range of Unit 2 topics: The limit definitions of a derivativeDifferentiabilityThe power, product, and quotient rulesCommon derivatives (e^x and ln(x)) and trig derivativesAnd moreFormat a
10th - 12th
Calculus
Calculus AB Unit 4 FRQ & MCQ Bundle: 4 FRQs, 35 MCQs w/ Detailed Solutions
This bundle includes 4 exam-style free-response questions (FRQs) and 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. Together, these cover the full range of Unit 4 topics: Interpreting derivatives in contextStraight-line (rectilinear) motion with position, velocity, and accelerationRelated ratesLocal linearity (linearization)L’Hôpital’s RuleAnd moreFor
10th - 12th
Calculus
Calculus AB Unit 3 FRQ & MCQ Bundle: 4 FRQs, 30 MCQs w/ Detailed Solutions
This bundle includes 4 exam-style free-response questions (FRQs) and 30 exam-style multiple-choice questions (MCQs) built around Unit 3: Derivatives of Composite, Implicit, and Inverse Functions, designed for students in a Calculus AB class or similar introductory calculus course. Together, these cover the full range of Unit 3 topics: The chain ruleImplicit differentiationDerivatives of inverse functionsDerivatives of inverse trigonometric functionsHigher-order derivativesAnd moreFormat and UseM
10th - 12th
Calculus
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 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 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 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 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 7 FRQ Practice: 4 Multi-Part Questions with Solutions & Rubrics
This FRQ practice set includes 4 exam-style multi-part free response questions covering Calculus AB Unit 7: Differential Equations. It includes a mix of calculator-active and no-calculator questions with worked solutions and rubrics for every part. Topics IncludeModeling with differential equationsChecking solutions to differential equationsSlope fields: creating, interpreting, sketching a particular solutionFinding general solutions to differential equations with separation of variablesFinding
10th - 12th
Calculus
Calculus AB Unit 1: Limits & Continuity Test | 15 MCQs, 3 FRQs, Calc. & No Calc.
This test includes 15 exam-style multiple-choice questions and 3 multi-part free-response questions covering Calculus AB Unit 1: Limits & Continuity. It has both no-calculator and calculator-active sections, and it comes in two unique versions (A and B), each with a complete answer key and full FRQ scoring rubrics. Topics IncludeLimits from graphs and tablesEvaluating limits algebraicallyThe Squeeze TheoremInfinite limits and vertical asymptotesLimits at infinity and horizontal asymptotesContinu
10th - 12th
Calculus
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
10th - 12th
Calculus
Calculus AB Unit 1: Limits & Continuity Practice Bundle | 95 MCQs & 5 FRQs
This bundle includes 95 exam-style multiple-choice questions (MCQs) and 5 exam-style free-response questions (FRQs) covering Calculus AB Unit 1: Limits & Continuity. The MCQ section is organized to keep the limits sections (1.1-1.9 and 1.14-1.15) and the continuity sections (1.10-1.13) together. Most 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 algebra
10th - 12th
Calculus
Calculus AB Unit 7 Test: MCQ & FRQ, No Calc. & Calc. Active, Two Versions (A/B)
This test includes 16 exam-style multiple-choice questions (MCQs) and 3 multi-part free-response questions (FRQs) covering Calculus AB Unit 7: Differential Equations. The test includes both no calculator and calculator active sections and includes two parallel versions (A and B) with answer keys for each. Test FormatNo Calculator: 10 MCQs & 2 FRQsCalculator Active: 6 MCQs & 1 FRQTopics AssessedModeling with differential equationsChecking solutions to differential equationsSlope fields: creating,
10th - 12th
Calculus
Calculus AB Unit 6 MCQ and FRQ Practice Bundle: 64 MCQs and 5 Multi-Part FRQs
This Practice Bundle includes 64 exam-style multiple-choice questions (MCQs) and 5 multi-part free-response questions (FRQs) 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 FRQ rubrics. This bundle combines my Calculus AB Unit 6 MCQ Practice and Unit 6 FRQ Practice resources. Topics Include:Accumulation of changeRiemann sums and the Trapezoidal RuleSigma notation and definite int
10th - 12th
Calculus
Calculus AB Unit 7 Practice Bundle: 40 MCQs and 4 Multi-Part FRQs w/ Answer Keys
This Practice Bundle includes 40 exam-style multiple-choice questions (MCQs) and 4 multi-part free-response questions (FRQs) covering Calculus AB Unit 7: Differential Equations. It includes a mix of calculator-active and non-calculator questions, with selected worked solutions for the MCQs and worked solutions plus rubrics for every FRQ part. This bundle combines my Calculus AB Unit 7 MCQ Practice and Unit 7 FRQ Practice resources. Topics IncludeModeling with differential equationsChecking solut
10th - 12th
Calculus
Calculus AB First Semester (Units 1–5): 6 Exam-Style FRQs
This resource is a first-semester cumulative review for AP Calculus AB and includes 6 exam-style free-response questions (FRQs) covering Units 1–5 (differential calculus), designed for students in a Calculus AB class or similar introductory calculus course. Use it as a comprehensive semester review, a midyear or final exam prep set, or a targeted check on core differential calculus skills. Topics include: Limits and continuityDerivatives and their fundamental propertiesDerivatives of composite,
10th - 12th
Calculus
Also included in: Calculus AB Derivatives Review Bundle: 30 MCQ & 6 FRQ w/ Solutions
Calculus AB Full-Length Practice Assessment (45 MCQ & 6 FRQ)
This 51-question set provides a complete, realistic evaluation of course mastery. It includes 45 multiple-choice questions (calculator and no-calculator sections) and 6 multi-part free-response questions. A full answer key and detailed scoring rubrics for justifications are included. UsagePurchase of this resource grants a single-teacher license. You may use it with your own students in print or via a password-protected LMS (Google Classroom, Canvas, etc.). Sharing this file with other teachers/
10th - 12th
Calculus
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