Percent Increase and Decrease Quiz
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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
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
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
Sequences (NOT Arithmetic & Geometric)-10 Practice Pages (80 CLASIFIED Problems)
*The product is designed for PreCalculus through Calculus. These are 10 practice pages/sheets on sequences containing a total of 80 classified problems. Students will find the first n terms of explicitly- defined sequence (page 1, 10 problems)find the first n terms of recursively – defined sequence (page 2, 8 problems)write the explicit rule for the nth term of a given sequence (page 3, 10 problems)determine whether given sequences are monotonic (page 4, 8 problems)prove that given sequence
10th - 12th
Algebra 2, Calculus, PreCalculus
AP CALCULUS AB - 5.9 CONNECTING F(X) WITH ITS 1ST & 2ND DERIVATIVES WORKSHEET
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
10th - 12th, Higher Education
Applied Math, Calculus, Math
CALCULUS Extrema Increasing/Decreasing-Max/Min Practice-First Derivative Test
This Calculus practice focuses on the First Derivative Test and finding the intervals of increasing/decreasing and maxima/minima for functions. The levels of the problems range from beginner to Advanced Placement. Some problems ask students to find the value(s) of x for which the function obtains its maximum or minimum. Other problems ask students to find the maximum or minimum points to remind them to substitute the max and min x-values back into the original function to find what the extrem
10th - 12th, Higher Education
Calculus, Math, PreCalculus
Calculus - Studying the Behavior of Functions Graphically
Students use the graphing calculator to create graphs of f, f’, and f”, and make observations about conditions that cause f to be increasing f to be decreasing, Extrema to occur A point of inflection based upon information from various graphs. This is a great lesson for students to use prior to knowing all the analytical techniques for taking a derivative. Using the built-in features on the graphing calculator students can graph a derivative of a function and a second derivative of a f
10th - 12th, Higher Education
Calculus, Math
Calculus - Reading and Using Information from the Graph of f'
From a graph of f’ students are asked to describe where f is increasing and decreasing, the locations for all local minimums and maximums for f, locations of all absolute minimums and maximums for f, locations of all points of inflection, and to make a sketch of f and f”.
10th - 12th, Higher Education
Calculus, Math
Calculus - Curve Sketching Activity Sheet w Spanish Translation
This activity sheet has 10 conceptually based questions on using information about the first and second derivatives to create a sketch of a function. Students use the first derivative to decide where a function might increase, decrease, or level off. The second derivative describes where the function is concave up or down and where a point of inflection might occur. The questions are designed to be used with Advanced Placement Calculus students. A Spanish translation is included. You will
10th - 12th, Higher Education
Calculus, Math
Also included in: Calculus - Activity Sheets - Bundle 2
AP® Precalculus Unit 3.1 Periodic Phenomena Activity
Do you find that your AP ® Precalculus need more practice relating to periodic functions and finding the intervals for increasing, decreasing and concavity? Students will work through six problems to describe how to tell functions are periodic and then to describe the intervals for increasing, decreasing, concave up and concave down. ⭐Skills Required: Writing intervals for increasing and decreasingWriting intervals for concave up and downDetermining functions are periodic or not❤️Resource is Gr
9th - 12th
Algebra 2, Calculus, PreCalculus
Also included in: AP Precalculus Trignometric and Polar Functions Activity Practice Bundle
IB Math SL - Applications of Derivatives Problem Set
This problem set is 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
Critical Numbers, First and Second Derivatives
Critical Numbers, First and Second Derivatives.
In this file, there are problems related to finding critical numbers, intervals of increase / decrease, local maximums and minimums, concavity and inflection points.
10th - 12th, Higher Education
Calculus
Calculus_First Derivative Test Resource and Practice
This 9 pages of materials here contain a single page of resources on using the first derivative to determine intervals of increasing and decreasing and locating local of a function. The next 4 pages contain various activities to help students explore those concepts. These pages are followed by the answer keys for the activities.
10th - 12th
Calculus
AP Multiple Choice Worksheet: First Derivative
This AP Calculus worksheet is a challenging review of AP style multiple choice questions pertaining to finding relative maxima or minima and intervals where a function is increasing or decreasing. It incorporates the Product Rule, Quotient Rule, and the natural log, ln, and natural base, e. This worksheet can be used for either an in-class or homework assignment. It is recommended to be used as a summative assessment after learning applications of differentiation or for practice before the AP C
10th - 12th
Calculus, Math Test Prep
AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET
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
10th - 12th, Higher Education
Calculus
Calculus Derivative Tests, Related Rates, IVT, MVT, EVT for Graphic Organizer
This AP® Calculus derivative graphic organizer is a great way for students to easily access the information needed to solve related rate problems, know when to use the first and second derivative tests and understand the differences between intermediate value theorem, extreme value theorem and mean value theorem. All three include a partially filled out sample. Leaves room for sample problems and specific classroom formulas, notes, etc. Surface area and volume formulas folding graphic orga
9th - 12th
Calculus, Math, PreCalculus
Calculus: The First Derivative Test – Comprehensive "3-in-1" Practice
Master the landscape of any function! 🎸 This intensive Calculus resource from NikiMath Store provides students with a massive set of 20 problems to perfect their skills in classifying critical points and finding relative extrema. It’s the ultimate "workout" for the First Derivative Test. It’s Math that Rocks! 💎✨⚠️ IMPORTANT: This is a PRACTICE-BASED resource. It includes 20 deep-dive problems and full detailed answer keys. It does not include formal lesson plans. ⚠️ 🔹 The "3-in-1" Analyt
10th - 12th, Adult Education, Higher Education
Calculus, Math
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
Key Features of Functions Task Cards (Basic Level)
Key Features of Functions Task Cards (Basic Level)This resource is a task card activity that should be used after teaching students about key features of functions like domain, range, x and y intercepts, increasing/decreasing/constant intervals, and end behavior. This task card set is good for students in Precalculus or Calculus. I like to print out and laminate the task cards and hand them around my room. Students, working in pairs or by themselves, can rotate through the stations answering ea
10th - 12th, Higher Education
Algebra 2, Calculus, PreCalculus
Differentiation Task Cards (Calculus-Station Activity)
⭐⭐ This Differentiation Task Cards Activity is designed to help teachers create a Boot Camp Review for the AP Calculus Exam. ⭐⭐ Students are given a set of numeric cards with a function and a set of alphabetic cards with a derivative. Students work cooperatively to find a matched set. There is a student recording sheet to support work. The activity can also be used with only the numeric cards to reduce the “guessing” strategy. There is a student recording sheet to support work and an answer ke
10th - 12th
Calculus, Math
Also included in: AP Calculus Boot Camp Stations Bundle
Calculus CURVE ANALYSIS Where is f increasing AND concave up? Dec/Conc up? Etc.
Calculus CURVE ANALYSIS (Inc/Dec AND Concavity) First & Second Derivative Tests Worksheet consists of 10 different functions. For each of the 10 functions students are asked to find open intervals for which the function is "increasing AND concave down" or "decreasing AND concave up" etc. The functions range from polynomials to functions containing e and ln. Space is provided with each problem for students to write organized justifications for their solutions. I created this practice becaus
10th - 12th, Higher Education
Calculus, Math, PreCalculus
Applications of the Derivative Valentine's Day Color by Number Activity
⭐ Vtine's Day Theme Applications of the Derivative Color by Number Activity ⭐⭐ Your AP Calculus students will have 10 questions related to Unit 5 topics covering Applications of the Derivative. Students will apply the Mean Value Theorem, first and second derivative tests, intervals of increase, decrease, concavity, points of inflection, and curve sketching. Students will have an individual worksheet to record work for accountability and a coloring page to complete the activity. ✅ This reso
10th - 11th
Calculus, Math
Calculus - How are the Graphs of f, f ', and f " interrelated?
Using the graphing calculator, students learn how the graphs of the first and second derivatives describe the behavior of the original function. The activity is composed of four parts. Students make observations based upon a series of questions about increasing, decreasing, extrema, and concavity
10th - 12th, Higher Education
Calculus, Math
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