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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 Analytical Applications of Differentiation (AP Calculus AB - Unit 4)

Analytical Applications of Differentiation (AP Calculus AB - Unit 4)

Created by
Math Lion
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
Preview of Precalculus Unit 2 - Functions

Precalculus Unit 2 - Functions

Unit 2 of this Precalculus curriculum is called Functions. This unit includes seven sections of guided notes with a problem set for each section, three worksheets that can be also used as quizzes, a unit overview and two FREE resources: a Unit Review and a Unit Exam. Below is a break down of each lesson in the unit: Lesson 1: Intro to Functions Lesson 2: Graphs of Functions Lesson 3: Increasing & Decreasing Functions Lesson 4: Function Transformations Lesson 5: Quadratic Functions Lesson 6: Comb
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 AP PRECALCULUS - INCREASING/DECREASING INTERVALS & CONCAVITY

AP PRECALCULUS - INCREASING/DECREASING INTERVALS & CONCAVITY

INCREASING/DECREASING INTERVALSINCREASING/DECREASING INTERVALS & CONCAVITY-SCAVENGER HUNT & CONCAVITY- SCAVANGER HUNT INCLUDED16 Station CardsRecording worksheetDIRECTIONSPrint 16 stations and scatter them around the room, on desks, walls, and even the hallway for more adventure.Distribute the recording worksheet to each student/group.Assign a starting problem to each group. Students will solve each problem and write their answers on the recording worksheet. The answer they get will l
Preview of Calculus AB Unit 5 FRQ & MCQ Bundle: 5 FRQs, 68 MCQs w/ Detailed Solutions

Calculus AB Unit 5 FRQ & MCQ Bundle: 5 FRQs, 68 MCQs w/ Detailed Solutions

This bundle includes 5 exam-style free-response questions (FRQs) and 68 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. Together, these cover the full range of Unit 5 topics: The Mean Value Theorem (MVT)The Extreme Value Theorem (EVT)Intervals of increase/decreaseThe first derivative testFinding absolute extrema with the candidates testConcavityThe second der
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 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 IB Math Applications & Interpretation SL Notes - Unit 5 Calculus

IB Math Applications & Interpretation SL Notes - Unit 5 Calculus

Created by
Jack McRobert
This resource has handwritten notes for the fifth topic of the new Applications and Interpretations SL course, for first exams in 2021. There will be significant overlap with the A & A Topic 5, and this is a subset of A & I HL Topic 5. I wrote and sold notes for the current IB courses, which have been fairly successful, so I am in the process of writing notes for the new courses, from scratch. My hope is that you will have a look at this free download, and if it seems like it would be helpful, p
Preview of Calculus - Utilizing Information Presented Graphically

Calculus - Utilizing Information Presented Graphically

Created by
Lisa Jones
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.
Preview of Function Analysis Chart

Function Analysis Chart

Created by
My Math Tutor
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!
Preview of Derivatives to Determine Function Behavior | Digital Google™ Sheets

Derivatives to Determine Function Behavior | Digital Google™ Sheets

Created by
Calculus4u
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
Preview of CURVE SKETCHING SUMMARY SHEETS

CURVE SKETCHING SUMMARY SHEETS

This is a four page document summarizing sketching polynomial,radical and rational functions. They include domain and range, intercepts, symmetry, intervals of increase or decrease, local maxima or minima, intervals of concavity, points of inflection, vertical, horizontal, slant and parabolic asymptotes. All of my math summary sheets (15) can be found in one PDF file.
Preview of Curve Sketching

Curve Sketching

When to Use I’ve used this as a way to put together critical numbers,  critical points, intervals of increasing and decreasing, points  of inflection, and concavity as part of the same problem,  resulting in sketching the curve. When I use this resource, I  usually do the first curve with the students and have them do  the second one on their own. How to Use When I use this resource, I usually do the first curve with the  students and have them do the second one on their own, so as  more of an i
Preview of Calculus 1 (AB) Study Guide Formulas Reference Sheet 1 by Cute Calculus

Calculus 1 (AB) Study Guide Formulas Reference Sheet 1 by Cute Calculus

Created 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
Preview of AP Calculus Test Questions: Analysis of Graphs

AP Calculus Test Questions: Analysis of Graphs

Created by
Regina Buonanno
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
Preview of Combining Functions & Inverse Functions Worksheet

Combining Functions & Inverse Functions Worksheet

Help keep your students engaged in your math class with this great resource that can be used as a worksheet or a quiz! This is a great resource for math teachers who are teaching lessons on function combinations and inverse functions. It assesses the students on their ability to combine functions and find the domain, find a composition of functions and the domain, recognize a composition function, and find the inverse of a function. This assessment includes a variety of different problems that s
Preview of Laws of Logarithms & Equations Worksheet

Laws of Logarithms & Equations Worksheet

Help keep your students engaged in your math class with this great resource that can be used as a worksheet or a quiz! This is a great resource for math teachers who are teaching lessons on exponential & logarithmic functions. It assesses the students on their ability to evaluate logarithmic expressions, use laws of logarithms to expand and combine expressions, and model real life scenarios using logarithmic and exponential equations. This assessment includes a variety of different problems that
Preview of Systems of Equations Worksheet

Systems of Equations Worksheet

Help keep your students engaged in your math class with this great resource that can be used as a worksheet or a quiz! This is a great resource for math teachers who are teaching lessons on systems of equations. It assesses the students on their ability to solve equations in two variables and in several variables. This assessment includes a variety of different problems that start out simple and increase in level of difficulty as the students work their way through the worksheet. A full, detaile
Preview of Exponential & Logarithmic Functions Worksheet

Exponential & Logarithmic Functions Worksheet

Help keep your students engaged in your math class with this great resource that can be used as a worksheet or a quiz! This is a great resource for math teachers who are teaching lessons on exponential & logarithmic functions. It assesses the students on their ability to evaluate logarithmic functions & sketch the graphs of exponential & logarithmic functions. This assessment includes a variety of different problems that start out simple and increase in level of difficulty as the students work t
Preview of Calculus AB Unit 5 MCQ Bundle: 68 Exam-Style Questions with Detailed Solutions

Calculus AB Unit 5 MCQ Bundle: 68 Exam-Style Questions with Detailed Solutions

This resource includes 68 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 bundle combines Part 1 (38 MCQs) and Part 2 (30 MCQs) into a single set. Topics include: 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
Preview of IB Math Applications & Interpretation SL Topic 5 Calculus BUNDLE

IB Math Applications & Interpretation SL Topic 5 Calculus BUNDLE

This is a GROWING bundle covering IB Math Applications and Interpretation SL Topic 5 Calculus standards: SL 5.1 Introduction to the concept of a limit and derivative interpreted as gradient function and as rate of rangeSL 5.2 Increasing and decreasing functions (coming soon)SL 5.3 Derivative using power rule where all exponents are integersSL 5.4 Tangents and normals at a given point, and their equationsSL 5.5 Introduction to integration as anti-differentiation of functions (indefinite and defi
Preview of Functions Big Review

Functions Big Review

Created by
Joan Kessler
Here is a comprehensive Review of Functions for Polynomial, Rational, and Piecewise defined functions. There are no trig, exponential, or log functions included. Please zoom in on the preview to make sure this resource is appropriate for your classes. Topics include: Odd and Even functions Transformations Domain and range Composition of functions Increasing and Decreasing Maximum and Minimum Inverse Functions Asymptotes Included in this resource: 4 versions of an assessment/ worksheet/stu
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