Percent Increase and Decrease Quiz
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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,
10th - 12th, Higher Education
Calculus
IntervaI Practice | Intervals for Increasing, Decreasing, Constant from a Graph
Clear up common interval notation misconceptions! Students connect intervals to x values and graphical representation of a function. Watch the lightbulb turn on with this activity. It works great as a warm-up, exit ticket, or short tutorial when students need a little extra practice reading graphs and thinking through function behavior. Students will practice: Determining where a graph is increasing, decreasing, or constantWriting answers in interval notationBuilding confidence with graph interp
9th - 12th, Higher Education
Algebra, Algebra 2, Calculus
Derivatives of Logarithmic Functions Task Cards plus Quiz HW
Are you looking for extra practice for your Calculus students finding the Derivatives of the Logarithmic Functions? This set of 20 task cards is just what your students need to help them master and gain fluency with this challenging topic. What's Included?20 Task Cards which increase in difficulty numerically. #1 - 15 are logarithmic functions and the derivatives will use power rule, product rule, and quotient rule. #16 - 18 have bases other than e, and 19 – 20 are applications. Most problems
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Derivatives and Differentiation Units Bundle
Calculus 1 Final Exam Review 32 Questions & Full Solutions
This pdf file contains 8 pages of course review questions and 6 pages of solutions to a standard University Level Calculus 1 ( Differential Calculus, AP Calculus ) course. There are 32 questions in total (some questions with multiple parts). The first question is a true/false question with 8 parts), and the rest are long answer questions. Full worked-out solutions are also included. Topics covered include: Evaluating limits (two-sided, one-sided, limits at infinity, limits using the Squeez
12th, Adult Education, Higher Education
Calculus, Math Test Prep
Derivatives of Exponential Functions Task Cards Quiz HW
Are you looking for extra practice for your Calculus students finding the derivatives of Exponential Functions? This set of 20 task cards is just what you want to help your Calculus students master and gain fluency with differentiating exponential functions. What's Included?2 Sets of 20 Task Cards which increase in difficulty numerically. #1 - 11 are exponential which include power rule, product rule, and quotient rule. They also include questions in the form of y = e^ax. #11-15 have bases ot
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Derivatives and Differentiation Units Bundle
Calculus Applications of Derivative and Curve Sketching Digital Activities
Give your Calculus students extra practice determining Increasing and Decreasing Functions, Concavity, Points of Inflection, and Analyzing Polynomial graphs. These 5 No Prep Digital activities from Applications of Derivatives are essential practice for curve sketching! Use as a class activity, assignment, or assessment. There are over 23 questions plus notes and explanations. Students will explore the roles of f' and f'' in determining the shape of a curve. Most question are drag and drop
11th - 12th, Higher Education
Calculus
Also included in: Calculus Digital Activity Bundle First Semester with Printables
Calculus - Utilizing Information Presented Graphically
Students will review the Fundamental Theorem of Calculus and properties of definite integrals, increasing/decreasing, cavity, writing the equation of a circle and a tangent line while completing these activities.
10th - 12th, Higher Education
Calculus, Math, Math Test Prep
Calculus Integration of Inverse Trig Functions plus HW
This classroom resource, Integration of Inverse Trig Functions Task Cards plus Quiz/HW Graphic Organizer, will give your students extra practice with this difficult topic. Activity Based Learning with Task Cards really does work to help reinforce your lessons. Task and station cards get your students engaged and keep them motivated. Use all at once or as many as you like. Directions for using Task Cards included in this resource. Included in the Lesson: 20 Task Cards which increase in diffic
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Integration and Accumulation of Change Functions Bundled Unit
Function Analysis Chart
A helpful chart to determine if a function is positive, negative, increasing, decreasing, concave up, concave down, zeros, extrema, and points of inflection. This is a review sheet for a quick reference of considering the derivative to determine what behavior is true about the function. Best of all its FREE! Enjoy and feel free to check out my other calculus resources!
10th - 12th, Higher Education
Calculus
Derivatives to Determine Function Behavior | Digital Google™ Sheets
Using Derivatives to Determine Function Behavior includes 5 problems requiring students to determine increasing/decreasing behavior of functions, and also concavity of functions. There is also one problem that requires students to determine inflection point(s). There are two versions with the same problems, but there are two different pictures. This Using Derivatives to Determine Function Behavior Google™ Sheets puzzle activity will be a very engaging way to have students practice as they will g
10th - 12th, Higher Education
Calculus
Also included in: 12 Days of Calculus for Christmas | Digital Activities in Google™ Sheets
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
11th - 12th, Higher Education
Calculus
Analytical Derivatives (AP Calc Unit 5) Bilingual Vocabulary (English/Spanish)
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
12th, Higher Education
Calculus
Calculus 1 (AB) Study Guide Formulas Reference Sheet 1 by Cute Calculus
•••If you find this download useful, please rate 5 star!•••Examples, explanations, CALCULUS MADE SIMPLE ON ONE SHEET front and back! Designed by a lover of all things colorful and compulsive doodler, April Terrazas. Designed to print front/back and 3-hole punch. Tutoring available, DM @CuteCalculus•Difference quotient •Average Rate of Change •Constant Rule •Power Rule •Sum/Difference Rule •Constant Rule Multiple •Product/Quotient Rule •Chain Rule •Inverse Function Theorem •Derivatives of Trig F
10th - 12th, Adult Education, Higher Education
Calculus, Math
AP Calculus Test Questions: Analysis of Graphs
Part of a larger series of test questions directly aligned with AP's calculus guidelines.
This comprehensive set of questions covers:
- odd/even
- increasing/decreasing
- rational, polynomial, logarithmic, exponential, and trigonometric functions
- domain/range
- end behavior
9th - 12th, Higher Education
Calculus, Graphing
Calculus Related Rates Digital plus Print
Here is a perfect way to assess your Calculus students' skills with Related Rates Problems. There are 8 problems including problems such as: Increasing and decreasing circles and squaresVolume with spheres Conical shapesAngle problemsThe digital version of is designed with Google Forms™ which means it is paperless and NO PREP for you and will be graded automatically for you. It is also editable. The questions in the digital resource are multiple choice. The Printable version of the questio
11th - 12th, Higher Education
Calculus
Also included in: Calculus Derivatives Digital Unit Bundle plus printables
AP Calculus - Unit 5 - REVIEW CIRCUIT (with Solutions!)
This circuit contains 32 problems that cover all of AP® Calculus Unit 5 - Analytical Applications of the Derivative (Mean Value Theorem, Absolute Extrema, Relative Extrema, Increasing/Decreasing Intervals, Concavity, Second Derivative Test, Connecting Graphs of a Function and its Derivative, Optimization, Behavior of Graphs of Implicit Relations). To allow for greater flexibility, the circuit is provided in three forms. The first is the complete 32 problem circuit. The second is 17 questions c
11th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus - Units 1 thru 8 - BUNDLE of REVIEW CIRCUITS (w/ Solutions!)
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
12th, Higher Education
Calculus
Also included in: AP® Calculus AB - Full Course Curriculum
Applications of Derivatives 1-Pager AP Calculus AB
AP Calculus AB: Applications of Derivatives 1-Pager | Extrema, Concavity & OptimizationHelp your students master one of the most heavily tested AP topics with this comprehensive applications of derivatives summary sheet. Includes: ✔ Critical numbers and extrema ✔ First and Second Derivative Tests ✔ Increasing/decreasing intervals ✔ Concavity and points of inflection ✔ Optimization strategy ✔ Rolle’s Theorem ✔ Mean Value Theorem ✔ Curve sketching checklist ✔ Tangent line approximation & different
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus AB 1-Pager Bundle | Complete Exam Review & Concept Maps
Graph Analysis 1st Derivative - Something Old, New, Borrowed and True Warm Up
This is designed to use as a warm up or starter activity. Something Old: A previous topic needed to support the current topic or topic coming soon. Finding the 2nd derivativeSomething New: The current topic. For this resource - Finding intervals of increase and decreaseSomething Borrowed: A totally different topic designed to help prevent learning loss. For this resource - Identifying Trig ratiosSomething True: An interesting fact or story in math. For this resource - Statistical studies show t
11th - 12th, Higher Education
Calculus
Also included in: Derivatives Including Applications Warm Up Bundle
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
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
11th - 12th, Higher Education
Calculus, PreCalculus
Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates
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
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
AP Calc AB Summer Prep Work - Version 1
The Sumer Prep Work packet contains review questions for all of the following topics along with a sample test designed to specifically target calculator and non-calculator skills. 1. Operations with Rational Numbers and Radicals 2. Understanding Radical and Rational Exponents 3. Writing the Equation of a Line 4. Solving Systems of Equations 5. Solving General Equations 6. Graphing Parent Functions 7. Transforming Functions 8. Identifying the Domain and Range of Functions 9. Identifying Extrema,
12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
AP Calculus AB Summer Prep Work - Version 2
The Sumer Prep Work packet contains review questions for all of the following topics along with a sample test designed to specifically target calculator and non-calculator skills. 1. Operations with Rational Numbers and Radicals 2. Understanding Radical and Rational Exponents 3. Writing the Equation of a Line 4. Solving Systems of Equations 5. Solving General Equations 6. Graphing Parent Functions 7. Transforming Functions 8. Identifying the Domain and Range of Functions 9. Identifying Extrema,
12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
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