Percent Increase and Decrease Quiz
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Analytical Applications of Differentiation (AP Calculus AB - Unit 4)
Analytical Applications of Differentiation Calculus Unit Bundle:This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Analytical Applications of Differentiation (Unit 4). This unit contains 6 lessons. Lesson 4.1: Using the Mean Value TheoremLesson 4.2: Extrema on an IntervalLesson 4.3: Increasing and Decreasing Intervals and The First Derivative TestLesson 4.4: Concavity and
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
Increasing and Decreasing Intervals
Bundle of resources for a lesson on Increasing and Decreasing Intervals. Includes the following (note that all resources can be edited, equations may require MathType): PowerPoint presentation for the lesson itselfWord Guided Notes to go with lessonWord handouts for a homework assignment plus 1 to 6 extra practice problem sets, depending on the lesson. Most questions are at AP level of rigor.PowerPoint presentations for full solutions to problem setsThe layout is very straightforward (no visua
9th - 12th
Calculus, Math Test Prep, PreCalculus
Also included in: Applications of Derivatives Unit
AP Calculus Quarter 3 - Powerpoint Lessons, Notes & Worksheets
This is the 3rd QUARTER of the entire full year of powerpoint presentation lessons, notes, worksheets and google slides activities. Some things have answer keys and other don't. AP Calculus Course Curriculum Content:Unit 5 Analytical Applications of Derivatives5.1 Using the Mean Value Theorem 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points 5.3 Determining Intervals on Which a Function is Increasing or Decreasing 5.4 Using the First Derivative Test to
9th - 12th
Calculus
Derivatives and Motion Problems | Kinematics Calculus Worksheet + Answers
Engage your Year 11 ATAR Mathematics Methods students with this comprehensive Applications of Derivatives to Kinematics worksheet. Designed to build confidence in applying calculus to motion problems, this resource includes a wide range of questions from straightforward calculations to applied problem-solving and mixed challenges. What’s Inside: Part A: Fundamental differentiation practice with displacement, velocity, and acceleration. Part B: Real-world applied kinematics problems (cars, ball
6th - 12th, Adult Education, Higher Education
Calculus, Other (Math), Physics
Unit 5 Calculus Analytical Applications of Derivatives Lesson & Worksheets
Whole Unit on Analytical Applications of Derivatives. Powerpoint presentations, notes and worksheets. Some things have answer keys. Unit 5 Analytical Applications of Derivatives5.1 Using the Mean Value Theorem 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points 5.3 Determining Intervals on Which a Function is Increasing or Decreasing 5.4 Using the First Derivative Test to Determine Relative (Local) Extrema 5.5 Using the Candidates Test to Determine A
9th - 12th
Calculus
Increasing Decreasing Rolle's Theorem
Worksheet involving increasing, decreasing functions, Extrema, Mean Value Theorem and Rolle's TheoremThis work by Betty Watson is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License.
Betty Watson
12th, Higher Education
Calculus
Graph Analysis with the 1st Derivative Practice (Editable)
Problem types: Intervals of increase and decreaseRelative extremaAbsolute extremaDerivative rules needed: Power ruleQuotient ruleChain rule
11th - 12th
Calculus, PreCalculus
Calculus Curve Sketching
Given functions, students are asked to determine intervals of increase and decrease, maximums, minimums, intervals of concavity, and points of inflection.
12th
Calculus
Test for extrema, inc/dec intervals and concavity
Multiple choice test or practice test for finding extrema (maximums and minimums), concavity, and increasing/decreasing intervals.
11th - 12th
Calculus
Unit 5 Calculus Analytical Applications of Derivatives
Whole Unit on Analytical Applications of Derivatives. Powerpoint presentations, notes and worksheets. Some things have answer keys. Unit 5 Analytical Applications of Derivatives5.1 Using the Mean Value Theorem 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points 5.3 Determining Intervals on Which a Function is Increasing or Decreasing 5.4 Using the First Derivative Test to Determine Relative (Local) Extrema 5.5 Using the Candidates Test to Determine Ab
9th - 12th
Calculus
AP Calculus AB: Curve Sketching and Particle Motion Notes
Students will be able to accurately sketch a curve given its derivative as well as connect the amount of increase and decrease to an integral. Students will be able to apply integrals to particle motion problems.
12th
Calculus
IB Math SL - Applications of Derivatives PowerPoint Notes and Problem Set
These PowerPoint notes (81 pages) and accompanying problem set are for applications of derivatives. The main topics of the notes revolve around increasing/decreasing functions, local minimums and maximums, concavity, points of inflection, kinematics, and optimization.
9th - 12th
Calculus, Math
Derivatives Graph Analysis Using Tables: Notes, Ex, Handout & Assign (Editable)
This resource includes notes, examples, handout and assignment analyzing graphs of functions using tables. Tables include: · Relative Extrema · Inflection Points · Intervals of Increase and Decrease · Intervals of Concave Upward and Concave Downward · Vertical Asymptotes Students will complete tables with: · Information about f(x) · Information about f'(x) · Information about f''(x) · Description of graph
11th - 12th, Higher Education
Calculus
Properties of Functions Practice
This worksheet uses piecewise graphs to practice all of the major features and properties of functions, and includes an answer key. Topics covered are: interval notation, domain, range, increasing, decreasing, constant, extrema, continuity, and types of discontinuities.
9th - 12th
Calculus, PreCalculus
Applications of Derivatives Unit
Bundle of resources for an AP Calculus level Unit on Applications of Derivatives. Includes the following (note that all resources can be edited, equations may require MathType): 13 full lessons:Extreme Values of FunctionsIncreasing and Decreasing IntervalsLocal ExtremaConcavityPoints of InflectionGraphical AnalysisMean Value TheoremLinearizationDerivatives of InversesL'Hospital's RuleMotionRelated Rates (Basic)Related Rates (Advanced)Each lesson includes:PowerPoint presentation for the lesson it
9th - 12th
Calculus, Math Test Prep, PreCalculus
AP Calculus: The First and Second Derivative Tests Complete Lesson
This lesson introduces the First and Second Derivative Tests in the context of polynomials. (The lesson on Curve Sketching uses these tests to examine other types of functions.) The lesson begins with a review of increasing and decreasing functions as well as critical numbers. Then, the First Derivative Test is introduced, along with an application. After that, concavity and inflection points are introduced. Finally, the Second Derivative Test is shown, along with an example. This lesson is
10th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus AB Full Curriculum
AP Calculus: Curve Sketching Complete Lesson
In this lesson, students gain practice in using calculus to understand the features of a graph. Students learn to identify the domain, intercepts, and symmetry of a function. They also practice using calculus to find asymptotes, intervals of increase and decrease, intervals of concavity, local extrema, and points of inflection. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Features of a Function -Rational Function -Tr
10th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus AB Full Curriculum
Pi Day Trivia Activity: Graph Analysis Using 1st Derivative (editable)
Students will use the 1st derivative to answer 20 graph analysis questions in each section . The correct graph analysis answers will lead to the correct answers to trivia questions related to pi. Sections include: finding critical numbersfinding intervals of increase and/or decreasefinding relative extremafinding absolute extrema
11th - 12th
Calculus
AP Calculus: Graphing the Derivative Complete Lesson
This lesson helps students learn how to graph the derivative of a function, given a graph of the function. Students also learn how to interpret the graph of the derivative and they make the connection between the derivative of the position function and the velocity function. Increasing and decreasing functions are also introduced. Finally, students learn how to estimate derivatives from a table of values and then use those values to create a graph of the derivative. This lesson is appropriate
9th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus: Derivatives Unit Bundle
Curve Analysis & Derivatives – A Complete Guide to Function Behavior | WORKBOOKS
Build deep understanding of functions using derivatives, limits, and curve analysisThis bundle is designed for high school math teachers who want students to move beyond procedural differentiation and toward true conceptual mastery of function behavior. Students learn how derivatives, limits, and asymptotes work together to describe increasing and decreasing behavior, local extrema, concavity, inflection points, and global structure of functions. Instead of isolated skills, the materials prese
9th - 12th
Calculus, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+33
AP Calculus Editable Warm-Up Templates
⭐⭐This SET OF EDITABLE TEMPLATES is designed to enhance your warm-up exercises through the school year. There are editable text boxes for you to insert functions and equations for your students to get a start to your instructional days.⭐⭐ ✅ KEY CONCEPTS/TOPICS:Limits and ContinuityDerivatives RulesIntervals of Increase and DecreaseConcavityAntiderivativesDefinite IntegralsPosition, Velocity, AccelerationVolumes of SolidsI value your feedback. Please rate this product. If you have any issues or
9th - 12th, Higher Education
Calculus
Warm-ups: Analytical Applications of Derivatives
How do I provide a meaningful activity for my students at the beginning of class while I deal with my classroom responsibilities (roll, helping students who were absent, etc.)? These warms-ups are the answer! The questions are designed to take students five to ten minutes to solve. Then the step-by-step solution is easy for students to follow as they check their work. A PDF containing all the problems is included for students to use. Concepts included:· Extrema on an interval. · The Mean Valu
10th - 12th
Calculus, Math
Limits - Algebraic Techniques Review and Quiz (2 Versions) - Editable
Skills Included: Evaluating limits by factoringEvaluating limits using the conjugateEvaluating limits of complex fractionsEvaluating limits involving infinityReview and Quiz Layout Review: 14 free response questionsQuizzes: 7 free response questions, 2 bonus question
11th - 12th, Higher Education
Calculus, PreCalculus
Calculus BC notes, hw, warm ups and practice quizzes
In this download you will find everything you need to teach all the topics of Calculus BC for the year. Topics stretch from review of prior math to polar functions. PDF and word files are included for all packets. Word files are editable. Each of 10 chapters has notes, homework, warmups and practice quizzes. There are powerpoints of each set of notes to teach with, and they are editable. Filled in notes are included, as well as homework work and answers. The warm ups also have a powerpoint fil
11th - 12th, Higher Education
Calculus, Math, Math Test Prep
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