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Preview of Calculus Quiz 3.1 & 3.3 (Extrema and Decreasing/Increasing Intervals)

Calculus Quiz 3.1 & 3.3 (Extrema and Decreasing/Increasing Intervals)

Please let me know if you have any questions! Enjoy!
Preview of Calculus Curve Sketching Quiz First Derivative Test

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.
Preview of Calculus I Worksheets (L7): Graph Sketching

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
Preview of Calculus Worksheet #14: Curve Sketching

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
Preview of Calculus AB Unit 5 FRQs: 5 Exam-Style Questions with Detailed Solutions

Calculus AB Unit 5 FRQs: 5 Exam-Style Questions with Detailed Solutions

This resource includes 5 exam-style free-response questions (FRQs) built around Unit 5: Function Analysis with Derivatives, designed for students in a Calculus AB class or similar introductory calculus course. Prompts focus on: The Mean Value Theorem (MVT)The Extreme Value Theorem (EVT)Intervals of increase/decreaseThe first derivative testFinding absolute extrema with the candidates testConcavityThe second derivative testCurve sketchingConnecting a function to its derivativesOptimizationBehavio
Preview of Calculus AB Unit 5 MCQs Part 1: 38 Exam-Style Questions with Detailed Solutions

Calculus AB Unit 5 MCQs Part 1: 38 Exam-Style Questions with Detailed Solutions

This resource includes 38 exam-style multiple-choice questions (MCQs) built around Unit 5: Function Analysis with Derivatives, designed for students in a Calculus AB class or similar introductory calculus course. This is Part 1 of a two-part set. Topics focus on: The Mean Value Theorem (MVT)The Extreme Value Theorem (EVT)Intervals of increase/decreaseThe first derivative testFinding absolute extrema with the candidates testConcavityAnd moreFormat and UseExam-style MCQs with thoughtful distractor
Preview of Calculus Increasing and Decreasing Functions  Curve Sketching

Calculus Increasing and Decreasing Functions Curve Sketching

Created by
Joan Kessler
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
Preview of Identifying Increasing and Decreasing Intervals Self-Checking Worksheet

Identifying Increasing and Decreasing Intervals Self-Checking Worksheet

Created by
Aric Thomas
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
Preview of Calculus Increasing and Decreasing Functions - Coloring Page Activity

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
Preview of First Derivative Test (Increasing and Decreasing) - Calculus Notes & Practice

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
Preview of Functions - Increasing, Decreasing, Maxima and Minima

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.
Preview of Intervals of Increase and Decrease

Intervals of Increase and Decrease

Created by
Timothy Hoffman
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.
Preview of Curve Sketching - Intervals of Increase and Decrease MATCHING

Curve Sketching - Intervals of Increase and Decrease MATCHING

Created by
Mathy Matchy
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.)
Preview of Increasing and Decreasing Functions & Relative Extrema

Increasing and Decreasing Functions & Relative Extrema

Created by
Kelly Shilling
I use this exploration as an introduction into using first derivative number lines to determine intervals of increasing, decreasing and relative extrema.
Preview of Calculus Notes 3.3 - Increasing & Decreasing Functions

Calculus Notes 3.3 - Increasing & Decreasing Functions

Scaffolded notes, as well as corresponding warm-ups. Please let me know if you have any questions! Enjoy!
Preview of Connecting f(x) to its First & Second Derivatives Card Sort - AP Calculus Unit 5

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,
Preview of Matching Slope Fields and Differential Equations Color by Number Activity

Matching Slope Fields and Differential Equations Color by Number Activity

Help your Calculus students practice slope fields and differential equations with this Slope Fields Color by Number Activity, a fun, low-prep calculus worksheet perfect for AP Calculus AB. Students will practice interpreting slope fields by matching each slope field to the correct differential equation. This resource is perfect for helping students connect the visual representation of a differential equation to the behavior it models. Students will analyze key features such as: where slopes
Preview of IntervaI Practice | Intervals for Increasing, Decreasing, Constant from a Graph

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
Preview of Derivatives of Logarithmic Functions Task Cards plus Quiz HW

Derivatives of Logarithmic Functions Task Cards plus Quiz HW

Created by
Joan Kessler
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
Preview of Derivatives of Exponential Functions Task Cards Quiz  HW

Derivatives of Exponential Functions Task Cards Quiz HW

Created by
Joan Kessler
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
Preview of Sequences (NOT Arithmetic & Geometric)-10 Practice Pages (80 CLASIFIED Problems)

Sequences (NOT Arithmetic & Geometric)-10 Practice Pages (80 CLASIFIED Problems)

Created by
Niki Math
*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
Preview of IB Math Applications & Interpretation HL Notes - Unit 5 Calculus

IB Math Applications & Interpretation HL Notes - Unit 5 Calculus

Created by
Jack McRobert
This resource has a pdf of handwritten notes for the fifth topic of the recently changed Applications and Interpretations HL (AIHL) course. This has the 8 subtopics that are included in A & I SL, plus an additional 10 subtopics for HL. There will also be significant overlap with the A & A Calculus. The other three courses have been available for a while, and I have only just been able to get A & I HL written, in time for the 2023 May exams. My hope is that if you like this resource, please ‘foll
Preview of IB Math Analysis & Approaches SL Notes  - Unit 5 Calculus

IB Math Analysis & Approaches SL Notes - Unit 5 Calculus

Created by
Jack McRobert
These are handwritten notes for the fifth topic of the new Analysis & Approaches SL (AASL / A & A SL) course, for first exams in 2021. The HL course will contain this content, with some additional calculus subtopics. There will also be significant overlap with the A & I Topic 5. I wrote and sold notes for the old IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. If you want a preview, try the first topic of course notes f
Preview of Interpreting the Derivative - Calculus Guided Notes & Practice with Video Lesson

Interpreting the Derivative - Calculus Guided Notes & Practice with Video Lesson

Calculus teachers -- are you looking for straightforward guided notes for your students on how to interpret a derivative based upon a real-world context? This 2-page guided notes lesson walks students through how to interpret a derivative. A coordinating video of the entire lesson is also included! About This Resource: Covers interpreting a derivative (verbally expressing)Simple and straightforward notes -- no overly technical math jargonTNIDU acronym to help clearly interpret in words (time,
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