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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 Connecting f(x) to its First & Second Derivatives Card Sort - AP Calculus Unit 5

Connecting f(x) to its First & Second Derivatives Card Sort - AP Calculus Unit 5

Help students review connecting the graphs of f f' and f'' (the first and second derivative graphs) with the fun card sort activity. All questions in this word scramble activity are aligned to AP Calculus sections 5.3 Determining Intervals on Which a Function is Increasing or Decreasing 5.4 Using the First Derivative Test to Determine Relative Local Extrema 5.6 Determining Concavity of Functions over Their Domains 5.8 Sketching Graphs of Functions and Their Derivatives 5.9 Connecting a Function,
Preview of IB Math Applications & Interpretation HL Notes - Unit 5 Calculus

IB Math Applications & Interpretation HL Notes - Unit 5 Calculus

Created by
Jack McRobert
This resource has a pdf of handwritten notes for the fifth topic of the recently changed Applications and Interpretations HL (AIHL) course. This has the 8 subtopics that are included in A & I SL, plus an additional 10 subtopics for HL. There will also be significant overlap with the A & A Calculus. The other three courses have been available for a while, and I have only just been able to get A & I HL written, in time for the 2023 May exams. My hope is that if you like this resource, please ‘foll
Preview of IB Math Applications & Interpretation SL Notes - Unit 5 Calculus

IB Math Applications & Interpretation SL Notes - Unit 5 Calculus

Created by
Jack McRobert
This resource has handwritten notes for the fifth topic of the new Applications and Interpretations SL course, for first exams in 2021. There will be significant overlap with the A & A Topic 5, and this is a subset of A & I HL Topic 5. I wrote and sold notes for the current IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. My hope is that you will have a look at this free download, and if it seems like it would be helpful, p
Preview of IB Math Analysis & Approaches HL Notes  - Unit 5 Calculus

IB Math Analysis & Approaches HL Notes - Unit 5 Calculus

Created by
Jack McRobert
These are handwritten notes for the fifth topic of the new Analysis & Approaches HL (AAHL / A & A HL) course, for first exams in 2021 - calculus. This has the 11 subtopics that are included in SL, plus an additional 8 subtopics for HL. There will also be significant overlap with the A & I Topic 5. I wrote and sold notes for the old IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. If you want a preview, try the first topi
Preview of Circuit Training - f, f', and f'' (calculus)

Circuit Training - f, f', and f'' (calculus)

Give your students engaging practice with the circuit format! This 16-question circuit asks students about increasing / decreasing, max/min, concavity and inflection points based on their analysis of the first and/or second derivatives. Progressive in nature, it includes quite a few polynomials, a trig function, an exponential function, a rational function, a square root function, an exponential function, and a few absolute value composite functions. Product rule and chain rule are needed on
Preview of CURVE SKETCHING SUMMARY SHEETS

CURVE SKETCHING SUMMARY SHEETS

This is a four page document summarizing sketching polynomial,radical and rational functions. They include domain and range, intercepts, symmetry, intervals of increase or decrease, local maxima or minima, intervals of concavity, points of inflection, vertical, horizontal, slant and parabolic asymptotes. All of my math summary sheets (15) can be found in one PDF file.
Preview of Analytical Derivatives (AP Calc Unit 5) Bilingual Vocabulary (English/Spanish)

Analytical Derivatives (AP Calc Unit 5) Bilingual Vocabulary (English/Spanish)

Created by
L G
This product is a PDF of analytical derivatives vocabulary words for AP Calculus students with pictures of each and definitions/key points in both English and Spanish. These definitions are worded for a high school student.  ✨ Each vocabulary word is a full page, so they can be printed whole-page for a bulletin board, or printed multiple to a page as a handout for students. They could also be used as flash cards! ✨ Very useful for ELL students to help build vocabulary skills! ✨ Very useful for
Preview of Product Rule Thin Slicing Activity, AP Calculus 2.8, Detailed Answers

Product Rule Thin Slicing Activity, AP Calculus 2.8, Detailed Answers

Your students will be engaged while calculating derivatives of products during this cooperative group activity. Although I designed this 21 question activity for groups, it can also be used as classwork, homework, a study guide, or as a quiz. Answer is included along with Worked Solutions for the Spicy and Wicked Hot Questions. Easy Prep. Just Print and Go! This activity is included in my Bundle: Bundle of 14 Calculus Activities, Units 2-8. This is a Thin Slicing Activity based on the rese
Preview of Quotient Rule Thin Slicing Activity, Calculus 2.9, Detailed Answers

Quotient Rule Thin Slicing Activity, Calculus 2.9, Detailed Answers

Your students will be engaged while calculating derivatives of quotients during this cooperative group activity. Although I designed this 22 question activity for groups, it can also be used as classwork, homework, a study guide, or as a quiz. Answer key is included along with Worked Solutions for the Spicy and Wicked Hot Questions. Easy Prep. Just Print and Go! This activity is included in my Bundle: Bundle of 14 Calculus Activities, Units 2-8. This is a Thin Slicing Activity based on the
Preview of Functions Big Review

Functions Big Review

Created by
Joan Kessler
Here is a comprehensive Review of Functions for Polynomial, Rational, and Piecewise defined functions. There are no trig, exponential, or log functions included. Please zoom in on the preview to make sure this resource is appropriate for your classes. Topics include: Odd and Even functions Transformations Domain and range Composition of functions Increasing and Decreasing Maximum and Minimum Inverse Functions Asymptotes Included in this resource: 4 versions of an assessment/ worksheet/stu
Preview of Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates

Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates

Created by
KingMamaMath
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
Preview of High School Math Mock Test | Functions, Calculus & Geometry (50 Qs)

High School Math Mock Test | Functions, Calculus & Geometry (50 Qs)

Challenge your students with a rigorous, exam-style mathematics practice test!This full-length mock exam includes 50 multiple-choice questions designed to assess core high school math skills, including algebra, functions, calculus, and geometry. It is ideal for review, test preparation, or end-of-unit assessment. 📌 What’s Included: 50 multiple-choice questions Graph-based and analytical problems Coverage of key high school math topics Clean, printable format Real exam-style structure
Preview of Curve Sketching with Calculus | Master Graphing with Derivatives & Sign Charts

Curve Sketching with Calculus | Master Graphing with Derivatives & Sign Charts

Help your students translate algebra into visual geometry!Curve Sketching requires students to synthesize the First and Second Derivative Tests, proving they understand the difference between a function's direction and its concavity. This turnkey curriculum module doesn't just stick to equations—it actively challenges students to read graphs of $f'(x)$ and $f''(x)$ directly, a heavily tested concept on the AP Exam. Perfect for AP Calculus exam prep or comprehensive sub plans.What’s Included:The
Preview of Transformations of Functions Mini Lesson, Practice, and Digital Quiz | Algebra

Transformations of Functions Mini Lesson, Practice, and Digital Quiz | Algebra

Help your students confidently master transformations of functions with this engaging, no-prep resource! This lesson includes a clear mini lesson, scaffolded guided practice, and a digital quiz to help students identify and apply function transformations with confidence. Perfect for Algebra 2, College Algebra, or advanced Algebra 1 students learning how shifts, reflections, stretches, and compressions affect parent functions. Students will practice: Horizontal and vertical shiftsReflectio
Preview of AP Calculus AB: Integrals & Apps – Study Guide, Guided Notes, Practice & Quiz

AP Calculus AB: Integrals & Apps – Study Guide, Guided Notes, Practice & Quiz

Created by
Denise Ward
Help your students master integration and its real-world applications with this all-in-one instructional resource! Designed specifically for AP Calculus AB Unit 6, this bundle provides everything you need for concept introduction, in-class practice, and formal assessment—all in one place. ✅ What’s Included: Study Guide Summary – A clear and concise one-page reference outlining key integration rules, formulas, and applications. Guided Notes – Structured, fill-in-the-blank notes perfect for
Preview of AP CALCULUS BC- UNIT 10 CONVERGENCE & DIVERGENCE (INFINITE SERIES) TESTS HANDOUT

AP CALCULUS BC- UNIT 10 CONVERGENCE & DIVERGENCE (INFINITE SERIES) TESTS HANDOUT

Created by
MATH WITH YOSH
This AP Calculus BC Convergence & Divergence Tests Handout is great! It includes all of the convergence and divergence tests, including descriptions of what students should look for when identifying which test to use. I print it on colored cardstock for my students when we are covering the topics from Unit 10, Infinite Sequences and Series. I hand it out to my students to use as a reference on their homework, and for preparing and studying for our unit test. I notice that before our unit test s
Preview of Analytic Trigonometry - Assessment Pack

Analytic Trigonometry - Assessment Pack

Creating a quiz, study guide, and test that are fair and still challenging can be quite a feat. Let this study guide and test bundle help you assess your students' understanding of ANALYTIC TRIGONOMETRY. This QUIZ, STUDY GUIDE and TEST bundle covers the following topics: * Fundamental Trig Identities * Verifying Trig Identities * Solving Trigonometric Equations * Sum & Difference Formulas * Multiple Angle Formulas * Product-to-Sum Formulas Spiral Review Questions are also included (but easily
Preview of Applications of Differentiation - Assessment Pack

Applications of Differentiation - Assessment Pack

Creating a quiz, study guide, and test that are fair and still challenging can be quite a feat. Let this study guide and test bundle help you assess your students' understanding of APPLICATIONS OF DIFFERENTIATION. This QUIZ, STUDY GUIDE and TEST bundle covers the following topics: * Extrema * Rolle's Theorem * Mean Value Theorem * First Derivative Test * Second Derivative Test * Limits at Infinity Spiral Review Questions are also included (but easily omitted if you choose to). ANSWER KEY INCLUD
Preview of Systems of Equations & Inequalities - Assessment Pack

Systems of Equations & Inequalities - Assessment Pack

Creating a quiz, study guide, and test that are fair and still challenging can be quite a feat. Let this study guide and test bundle help you assess your students' understanding of SYSTEMS OF EQUATIONS & INEQUALITIES. This QUIZ, STUDY GUIDE and TEST bundle covers the following topics: * Systems of Equations * Linear Systems in 2 Variables * Multi-Variable Systems of Equations * Partial Fractions * Systems of Inequalities * Linear Programming Spiral Review Questions are also included (but easily
Preview of Differentiation - Assessments Pack

Differentiation - Assessments Pack

Creating a quiz, study guide, and test that are fair and still challenging can be quite a feat. Let this study guide and test bundle help you assess your students' understanding of DIFFERENTIATION. This QUIZ, STUDY GUIDE and TEST bundle covers the following topics: * The Derivative & Tangent Line * Basic Differentiation Rules * Product and Quotient Rules * Chain Rule * Implicit Differentiation * Related Rates Spiral Review Questions are also included (but easily omitted if you choose to). ANS
Preview of Trigonometry - Assessment Pack

Trigonometry - Assessment Pack

Creating a quiz, study guide, and test that are fair and still challenging can be quite a feat. Let this study guide and test bundle help you assess your students' understanding of TRIGONOMETRY. This QUIZ, STUDY GUIDE and TEST bundle covers the following topics: * Radians & Degrees * The Unit Circle * Right Angle Trigonometry * Other Angle Trigonometry * Sine & Cosine Graphs * Graphs of Other Trigonometric Functions * Inverse Trigonometric Functions Spiral Review Questions are also included
Preview of Sequences & Series - Assessment Pack

Sequences & Series - Assessment Pack

Creating a quiz, study guide, and test that are fair and still challenging can be quite a feat. Let this study guide and test bundle help you assess your students' understanding of SEQUENCES & SERIES. This QUIZ, STUDY GUIDE and TEST bundle covers the following topics: * Introduction to Sequences & Series * Arithmetic Sequences & Partial Sums * Geometric Sequences & Series * Partial Fractions * The Binomial Theorem Spiral Review Questions are also included (but easily omitted if you choose
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