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Preview of AP CALCULUS AB - 5.9 CONNECTING F(X) WITH ITS 1ST & 2ND DERIVATIVES WORKSHEET

AP CALCULUS AB - 5.9 CONNECTING F(X) WITH ITS 1ST & 2ND DERIVATIVES WORKSHEET

Created by
MATH WITH YOSH
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
Preview of Calculus 1st First Derivative Test Digital Maze

Calculus 1st First Derivative Test Digital Maze

Created by
Joan Kessler
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,
Preview of AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET

AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET

Created by
MATH WITH YOSH
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
Preview of AP® Calculus AB/BC - Unit 5: Analytical Applications of Differentiation

AP® Calculus AB/BC - Unit 5: Analytical Applications of Differentiation

This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 5: Analytical Applications of Differentiation5.1 The Mean Value Theorem (MVT) and Rolle's Theorem 5.2 Using the First Derivative Test (Increasing/Decreasing, Critical Points) 5.3 Using the First Derivative Test (Relative Extrema) 5.4 Using the Second Derivative Test (Con
Preview of Power Rule Worksheet

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
Preview of Advanced Curve Sketching Practice — Calculus AB/Calculus 1

Advanced Curve Sketching Practice — Calculus AB/Calculus 1

Transform curve sketching from a memorized checklist into a meaningful reasoning process. This Calculus AB practice packet gives students 10 full curve-sketching problems that build conceptual understanding through progressively challenging function types — polynomial, rational, trigonometric, logarithmic, exponential, and piecewise. Each question leads students through: Domain and range reasoning Continuity and differentiability Critical points and increasing/decreasing intervals Concavi
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 5 INCR./DECR., RELATIVE EXTREMA, GIVEN F' IDENTIFY CHARACTERISTICS OF F

5 INCR./DECR., RELATIVE EXTREMA, GIVEN F' IDENTIFY CHARACTERISTICS OF F

Created by
MATH WITH YOSH
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,
Preview of Graphs of First & Second Derivatives Identify and Match f, f', f''

Graphs of First & Second Derivatives Identify and Match f, f', f''

Created by
Joan Kessler
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
Preview of Mega Practice Set – Graphs of Exponential Functions (AP Precalculus)

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
Preview of Polar Functions, Parametric Functions, and Vector Functions End of Unit Review

Polar Functions, Parametric Functions, and Vector Functions End of Unit Review

Created by
Joan Kessler
This comprehensive End of Unit Review for Polar Functions, Parametric Functions, and Vector Functions will give your PreCalculus and AP PreCalculus students a solid review with extra practice practice. These activities,organizers, and worksheets also make a great review for AP Calculus BC Unit 9. What's included?4 versions of the review / assessment, each with 57 well chosen representative questions. Two versions are multiple choice format and two are free response. The assessments / revi
Preview of Limits and Continuity Digital and Print Super Bundle for Calculus

Limits and Continuity Digital and Print Super Bundle for Calculus

Created by
Joan Kessler
This Limits and Continuity Unit Super Bundle for Calculus is teaming with Activities, Notes, Foldables, HW, and Assessments and will engage your students and enhance their learning. It also includes Digital Activities and Assessments enabling you to teach in a traditional, distance learning, or blended classroom. The Super combo bundle is comprised of: Limits and Continuity - Unit Bundle  Limits and Continuity Digital Activity Bundle Included are Guided Notes, Graphic Organizers, Task Cards
Preview of AP Calculus AB - Problem Set #7 - Integration and Accum. of Change Worksheet

AP Calculus AB - Problem Set #7 - Integration and Accum. of Change Worksheet

Created by
Sigma Pi Math
**NEW** AP Calculus AB Problem Sets! Problem Set #7 - Integration and Accumulation of Change Covers all topics in Unit 6 of AP Calculus AB CEDOne-pager (front and back)Answer key included!Part of a series of 10 problem sets (check out the BUNDLE!)Great to use as a worksheet, homework assignment, or even an in-class quiz/test!
Preview of Integrals Involving Exponential and Logarithmic Functions Notes and Flashcards

Integrals Involving Exponential and Logarithmic Functions Notes and Flashcards

These notes cover finding antiderivatives/indefinite integrals of functions that result in exponential or logarithmic expressions (using u-Substitution). It also includes a set of flashcards that has an exponential expression on one side and both the derivative and integral on the other for students to quiz each other (the one answering just sees the function). This note sheet formatted to be a 1/2 sheet of paper. It is intended to hand out to the students so that they do not have to write ever
Preview of AP Calculus AB - Problem Set #2 - Limits and Continuity Worksheet

AP Calculus AB - Problem Set #2 - Limits and Continuity Worksheet

Created by
Sigma Pi Math
**NEW** AP Calculus AB Problem Sets! Problem Set #2 - Limits and Continuity Covers all topics in Unit 1 of AP Calculus AB CEDOne-pager (front and back)Answer key included!Part of a series of 10 problem sets (check out the BUNDLE!)Great to use as a worksheet, homework assignment, or even an in-class quiz/test!
Preview of Calculus Curriculum Bundle

Calculus Curriculum Bundle

Created by
Joan Kessler
This Calculus Curriculum Bundle includes guided notes, activities, homework, quizzes, organizers, editable unit assessments, and more, all of which will enhance your Calculus lessons and engage your students. It is designed for College Calculus 1, Dual Enrollment, and Non AP® Calculus including High School Honors Calculus. Please click on the links below for full descriptions and individual previews of the 7 bundles included in this Calculus curriculum bundle. Unit 1 Limits and Continuity -
Preview of AP Calculus AB - Problem Set Worksheets BUNDLE - Set of 10!

AP Calculus AB - Problem Set Worksheets BUNDLE - Set of 10!

Created by
Sigma Pi Math
**NEW** AP Calculus AB Problem Sets!One-pagers (front and back)Part of a series of 10 problem sets Answer keys includedGreat to use as a worksheet, homework assignment, or even an in-class quiz/testProblem Sets Included:Problem Set #1: Prerequisite Skills Problem Set #2: Limits and Continuity (Unit 1) Problem Set #3: Derivatives (Unit 2) Problem Set #4: Differentiation- Composite, Implicit, Inverse (Unit 3) Problem Set #5: Contextual Applications of Derivatives (Unit 4) Problem Set #6: Analytica
Preview of AP Calculus Curriculum Bundle

AP Calculus Curriculum Bundle

Created by
Joan Kessler
This Calculus AB Curriculum Bundle includes guided notes, activities, homework, Quizzes, organizers, editable unit assessments, and more, which will enhance your Calculus lessons and engage your students. Students like and succeed with varied lessons and activities. In this day and age students need a curriculum where each day is a new learning experience geared for all types of learners. The resources in this curriculum bundle will help you engage all of your students with rigorous and fun
Preview of Calculus Limits by Delta Epsilon Notes plus Practice

Calculus Limits by Delta Epsilon Notes plus Practice

Created by
Joan Kessler
This Calculus Limits by Definition resource will help give your students a solid foundation in this difficult topic and is designed to give them fluency understanding the limit process for finding derivatives. This is an optional topic for AP Calculus. What's Included? Guided Notes on Limits by Definition with examples13 Practice problems on Limits by Definition using the basic Delta Epsilon method to find delta, given epsilon. Three problems have fully typed solutions, ready to give out t
Preview of Taylor and Maclaurin Series (BC Calculus - Unit 10)

Taylor and Maclaurin Series (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus BC lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  Taylor and Maclaurin Series.⭐⭐ ✅ Learning Objective:★ Differentiate and integrate a Taylor or Maclaurin series. ★ Find a geometric power series that represents a function. ★ Construct a power series using series operations. ✅ College Board® Topics:⭐ Topic 10.14: Finding Taylor or Maclaurin Series for a Function Less
Preview of The Integral Test and p-Series (BC Calculus - Unit 10)

The Integral Test and p-Series (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus BC lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  The Integral Test and p-Series.⭐⭐ ✅ Learning Objective:★ Understand the definition of both geometric series and p-series ★ Use the Integral Test to determine convergence and divergence of infinite series ★ Use properties of convergence for p-series and harmonic series ★ Test p-series for convergence ✅ College Board®
Preview of Series and Convergence (BC Calculus - Unit 10)

Series and Convergence (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus BC lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  Series and Convergence.⭐⭐ ✅ Learning Objective:★ Understand the definition of a convergent infinite series ★ Use properties of infinite geometric series. ★ Use the  n-th Term Test for Divergence of an infinite series ✅ College Board® Topics:⭐ Topic 10.1: Defining Convergent and Divergent Infinite Series ⭐ Topic 10.
Preview of Comparison of Series (BC Calculus - Unit 10)

Comparison of Series (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus BC lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  Comparison of Series.⭐⭐ ✅ Learning Objective:★ Use the Direct Comparison Test for convergence ★ Use the Limit Comparison Test for convergence ✅ College Board® Topics:⭐ Topic 10.6: Comparison Tests for Convergence ✅ Lesson 10.3 Comparison of Series is a one-day lesson with an emphasis on Mathematical Practice 3 Just
Preview of Lagrange Error Bound and Accuracy (BC Calculus - Unit 10)

Lagrange Error Bound and Accuracy (BC Calculus - Unit 10)

⭐⭐ This  AP Calculus BC lesson provides you with a  customizable and  fully-editable resource of guided student notes, practice set and daily lesson quiz that cover the topics for  Lagrange Error Bound and Accuracy.⭐⭐ ✅ Learning Objective:★  Use Taylor polynomials to estimate values of functions ★ Use Taylor’s Inequality to measure the accuracy of approximations. ★ Use alternating series error bound to bound the error of a Taylor approximation of a function. ✅ College Board® Topics:⭐ Topic 10.
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