Percent Increase and Decrease Quiz
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Calculus Curve Sketching Quiz First Derivative Test
This is a collection of 5 calculus quizzes that test whether students can use calculus to analyze the first and second derivative of an equation and then answer questions about the original function. Students must know how to find:intervals of increase/decreasewhere is the maximum/minimumintervals of concavitywhere is the point of inflectionEach of these 5 quizzes contains 10 questions. The first two quizzes are very basic and straight forward. The second three quizzes are a little bit harder.
11th - 12th
Calculus, Math
Calculus I Worksheets (L7): Graph Sketching
Worksheet, quiz, and solutions accompanying Calculus I video Calculus Graphing Secrets: The First and Second Derivative Test ExplainedVideo Description: In this lecture from the Prodigy Mathematics Calculus I series, we explore how to sketch graphs using the powerful tools of differential calculus. Instead of relying solely on tables of values, you'll learn how to use the first and second derivative tests to identify critical points, determine intervals of increase and decrease, analyze concavi
9th - 12th, Higher Education
Calculus
Calculus Worksheet #14: Curve Sketching
The 14th of a 20-worksheet sequence created to scaffold and support honors calculus curriculum. Covers finding intervals of increase/decrease and relative extrema; identifying intervals of concavity and points of inflection; and using these to generate accurate graphs of differentiable functions. With a focused and self-contained design, this versatile resource can be used as a small group activity, a homework assignment, a quiz, individual practice for a classwide lesson, or targeted review for
9th - 12th, Higher Education
Calculus
Also included in: Calculus Worksheet Collection
First Derivative Test (Unit 5 AP Calculus)
⭐⭐ This AP Calculus 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 First Derivative Test-Increasing and Decreasing Functions.⭐⭐ ✅ Lesson 5.3 First Derivative Test is a two-day lesson with an emphasis on Mathematical Practice 2 Connecting Representations. q Skill 2.E: Describe the relationships among different representations of functions and their derivatives. ✅ What is included in t
10th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus AB Curriculum Mega Bundle | Flamingo Math
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)
AP Calculus 130 Multiple Choice or FRQ Questions on Unit 5 Applying Derivatives
This product contains 130 questions in both multiple choice format and free response format. This is in an editable Word format which allows you to delete questions, rearrange, or insert your own questions. You will not be able to edit the questions themselves. I also include the pdf versions. 130 multiple choice or free response questions similar to questions college level Advanced Calculus Exams. Questions cover unit 5 Applying Derivatives to Analyze Functions on Mean Value Theorem, Extreme Va
11th - 12th, Adult Education, Higher Education
Calculus, Math, Math Test Prep
1st & 2nd Derivative Tests: Increasing Decreasing Intervals, Extrema, Concavity
No Prep & Digital! Do your Calculus 1 students need practice using derivatives to find intervals where a function is increasing or decreasing, relative & absolute extrema, and intervals where a function is concave up or down using the first or second derivative test? No application problems are included, perfect for students to solidify understanding of using 1st & 2nd derivative tests. Practice Determining:⭐ Critical points ⭐ Intervals of increase/decrease⭐ Points of inflection⭐ Abso
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus NO-Prep & Digital Activities Bundle
Calculus Increasing and Decreasing Functions Curve Sketching
This Calculus resource, Increasing and Decreasing Functions is part of the unit, Analytic Applications of the Derivative, and will reinforce your students' skills as they practice using Calculus to determine increasing and decreasing intervals. What's Included?Task Cards: There are 10 Task Cards. Students use Calculus to determine the largest interval for which a function is increasing or decreasing without using a Graphing Calculator. Some of the answers are obvious for those who know paren
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Applications of Differentiation Unit Bundle
Identifying Increasing and Decreasing Intervals Self-Checking Worksheet
Identify intervals where f(x) is increasing or decreasing by analyzing the sign of f'(x). Standards: AP Calculus AB/BC Unit 5 — FUN-4.A (monotonicity from f'). This is a self-checking worksheet. Each problem has a matching answer in the design grid above; as students shade in their answers, a symmetrical pattern appears. If the pattern looks right, the work is right — students catch their own mistakes before turning it in, and you can spot-check the page at a glance. Works for classwork, homewor
11th - 12th
Calculus, Math Test Prep, PreCalculus
Finding Extrema & Intervals of Increase and Decrease | Calculus Derivative
Help your students build strong calculus foundations with this comprehensive and visually clear worksheet + mini-lesson on relative and absolute extrema and increasing/decreasing intervals! Students will learn how to use first and second derivatives to analyze functions, identify critical points, and determine where functions are increasing or decreasing — all through step-by-step guided problems. What’s Included:✅ Engaging Lesson Page explaining: Critical points Relative and absolut
9th - 12th
Calculus, Math Test Prep, PreCalculus
Increasing, Decreasing and First Derivative Test | Calculus Notes & Video
Increasing, decreasing and First Derivative Test lesson for Calculus with guided notes, homework, and video lesson. Teach intervals of increase and decrease, derivative sign charts, and relative extrema.This is one lesson from my Calculus Unit 3 – Applications of Derivatives curriculum. It includes guided notes, homework practice, a full video lesson, and detailed step-by-step answer keys to support student understanding. This lesson is designed for a guided, non-AP Calculus course and works wel
11th - 12th, Higher Education
Calculus, Math
Increasing & Decreasing Functions with Calculus: Interactive Drag & Drop
Master Monotonicity with the First Derivative Test! 🚀🔢 Turn the abstract concepts of Calculus into a hands-on, engaging experience! This digital activity challenges students to explore the behavior of functions using the power of derivatives. No more messy scribbles—just pure logic and interactive fun as they determine exactly where a function rises and where it falls! Why this Calculus Activity "Rocks" the Classroom: 🎸 Tactile "Drag & Drop" Learning: 🗝️ Each slide presents three challenging
11th - 12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
Calculus Increasing and Decreasing Functions - Coloring Page Activity
Students will use their knowledge of INCREASING AND DECREASING FUNCTIONS in this coloring sheet. It is way more fun than a traditional worksheet, and it's great for teachers to use for student work displays. ANSWER KEY INCLUDED Are you looking for more on your APPLICATIONS OF DIFFERENTIATION unit? Check out these resources! Applications of Differentiation - Notes SlideshowApplications of Differentiation - AssessmentsApplications of Differentiation - Digital Escape RoomAbsolute Extrema Activity
11th - 12th
Calculus, Math, PreCalculus
Also included in: CALCULUS - Entire Course Bundle!
First Derivative Test (Increasing and Decreasing) - Calculus Notes & Practice
Calculus teachers -- are you looking for straightforward guided notes for your students on using the first derivative test to determine where a function is increasing or decreasing? This 2-page guided notes lesson walks students through how to use the candidates test to determine intervals of increasing and decreasing for a given function. A coordinating video of the entire lesson is also included! About This Resource: Covers the first derivative test & identifying where a function is increasi
11th - 12th
Calculus, Math
Functions - Increasing, Decreasing, Maxima and Minima
This self-checking worksheet has 9 functions which should be put into a graphing utility to find the maximum and/or minimum value. Then, using those values, find either the increasing or decreasing interval. When finished, the students will find a mathematical saying.
10th - 12th
Algebra 2, Calculus, PreCalculus
Increasing & Decreasing Functions & Extrema (Relative & Absolute) DRAG & DROP
This is an engaging Calculus drag and drop activity on interval of monotonicity and relative and absolute extrema of polynomial, rational and radical functions. Students have 12 task cards - 6 per slide. Each card contains two problems A and B. Slide 1 (cards 1-6) -students have to determine the interval(s) of increasing/decreasing of the functions given. The first function is polynomial and the second is rational or radical. On slide 2 students have two tables and the answers are given there a
9th - 12th
Calculus
Intervals of Increase and Decrease
This worksheet requires the students to take the first derivative of a variety of different function including trig to find intervals of increase, decrease and find the local extremas. Solutions are provided. Chain rule is useful for several problems.
11th - 12th
Calculus
Curve Sketching - Intervals of Increase and Decrease MATCHING
MATCHING. Given 12 different functions, use the first derivative test to determine the intervals of INCREASE & DECREASE. (Versatiles make this a self checking practice activity.)
11th - 12th, Higher Education
Calculus, Math
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
Differentiation - Increasing and Decreasing Intervals
This self-checking worksheet works the student on increasing and decreasing open intervals using differentiation. The differentiation rules used are power rule, quotient rule and chain rule. Some trig functions are also included. When finished, the student will find the answer to a riddle.
11th - 12th, Higher Education
Algebra 2, Calculus, Graphing
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
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
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