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Percent Increase and Decrease Quiz - Page 2

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Preview of First Derivative Test CIRCUIT worksheet | worked solutions | Digital and Print

First Derivative Test CIRCUIT worksheet | worked solutions | Digital and Print

Created by
Hoff Math
Students practice using the First Derivative Test to find intervals of increasing/ decreasing and coordinates of relative extrema in this self-checking CIRCUIT ACTIVITY that includes both a printable version and a digital version which can be given as homework, classwork, or extra practice. This resource covers topics 5.3 and 5.4 of the AP Calculus CED. The digital version uses Google Forms.Bundle and save! Skip the prep and grab the Calculus Course Full Curriculum Bundle. This all-in-one resou
Preview of Calculus - Studying the Behavior of Functions Graphically

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
Preview of Calculus - Reading and Using Information from the Graph of f'

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”.
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 Calculus - Curve Sketching Activity Sheet w Spanish Translation

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
Preview of Using the Chain Rule with Graphical Information Task Cards

Using the Chain Rule with Graphical Information Task Cards

This set of 20 task cards presents students with graphical information about functions f and g. Then students are asked to consider several composite functions 1. f(g(x)) 2. g(f(x)) 3. f(x^2) 4. f(-x^2) 5. f(f(x))
Preview of Circuit Training - f, f', and f'' (calculus)

Circuit Training - f, f', and f'' (calculus)

Give your students engaging practice with the circuit format! This 16-question circuit asks students about increasing / decreasing, max/min, concavity and inflection points based on their analysis of the first and/or second derivatives. Progressive in nature, it includes quite a few polynomials, a trig function, an exponential function, a rational function, a square root function, an exponential function, and a few absolute value composite functions. Product rule and chain rule are needed on
Preview of Mega Practice Set: Binomial Expansion (AP Precalculus suitable)

Mega Practice Set: Binomial Expansion (AP Precalculus suitable)

This resource includes: 50 exercises progressing from core skills to AP-style advanced questions 6 levels of increasing difficulty so students can build confidence as they go Complete answer keySuitable for in-class work, homework, quizzes, and review sessionsIdeal for AP teachers, tutors, and self-study students
Preview of Analytical Derivatives (AP Calc Unit 5) Bilingual Vocabulary (English/Spanish)

Analytical Derivatives (AP Calc Unit 5) Bilingual Vocabulary (English/Spanish)

Created by
L G
This product is a PDF of analytical derivatives vocabulary words for AP Calculus students with pictures of each and definitions/key points in both English and Spanish. These definitions are worded for a high school student.  ✨ Each vocabulary word is a full page, so they can be printed whole-page for a bulletin board, or printed multiple to a page as a handout for students. They could also be used as flash cards! ✨ Very useful for ELL students to help build vocabulary skills! ✨ Very useful for
Preview of Critical Numbers, First and Second Derivatives

Critical Numbers, First and Second Derivatives

Created by
PatrickJMT
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.
Preview of CALCULUS: LOCAL MAXIMUM AND LOCAL MINIMUM

CALCULUS: LOCAL MAXIMUM AND LOCAL MINIMUM

Created by
STEM Creations
Objectives: Upon completion of this section, the student should be able to: • Use derivatives to determine the intervals of increase and decrease of a given function • Use the First Derivative Test to determine any local maximum or minimum points
Preview of Analysis of Functions (PP)

Analysis of Functions (PP)

Created by
Rita Rhinestone
This powerpoint has examples where you would determine the signs of the first and second derivatives, determining the inflection points, and intervals of increasing and decreasing from a given graph. There is one problem with given conditions and students need to sketch the graph. All answers are given.
Preview of Critical Points Matching Cards

Critical Points Matching Cards

Students match a function, it’s critical points, where the function is at a minimum and/or maximum, where the function is increasing and/or decreasing and the sign chart for the first derivative. This activity has been revised.
Preview of Derivatives Graph Analysis Using Tables: Notes, Ex, Handout & Assign (Editable)

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
Preview of Derivatives -Graph Analysis Using Tables - Notes, Examples, Handout & Assignment

Derivatives -Graph Analysis Using Tables - Notes, Examples, Handout & Assignment

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
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 Calculus 1st First Derivative Test Digital Maze

Calculus 1st First Derivative Test Digital Maze

Created by
Joan Kessler
Your Calculus students use the 1st Derivative Test in this fun digital Zombie themed activity to determine if the given function is increasing, decreasing, or neither at a given point. This activity is designed to be used without Graphing calculators. Each answer leads them to the next question. There are 16 problems and students must complete 15 of them to correctly complete the maze. Derivatives include the product rule, quotient rule, chain rule, sine, cosine, inverse sine, logarithmic,
Preview of Calculus Related Rates Digital plus Print

Calculus Related Rates Digital plus Print

Created by
Joan Kessler
Here is a perfect way to assess your Calculus students' skills with Related Rates Problems. There are 8 problems including problems such as: Increasing and decreasing circles and squaresVolume with spheres Conical shapesAngle problemsThe digital version of is designed with Google Forms™ which means it is paperless and NO PREP for you and will be graded automatically for you. It is also editable. The questions in the digital resource are multiple choice. The Printable version of the questio
Preview of Calculus Board Sessions,Session 19, Integrating even and odd sines

Calculus Board Sessions,Session 19, Integrating even and odd sines

In this Board Session students will… -get some definite integration and trig practice -find average value of a function -work with integrating sin square and sine cubed -review increasing,decreasing,point of inflection -integrate a step function using area -work with the motion of a particle We DO have a complete set of the 20 Calculus Board Sessions listed, and at a discount from the individual sessions multiplied by 20. For ease in finding it you might want to try copying: Complete Set 20 Cal
Preview of Analysis of Functions 1 (PP)

Analysis of Functions 1 (PP)

Created by
Rita Rhinestone
This powerpoint introduces the test for concavity using the second derivative. There are several examples with all steps given. There is one example to just determine increasing and decreasing (first derivative) and then concavity is added in.
Preview of Functions and Their Properties Advanced Math/Pre Calculus  Mini Lesson

Functions and Their Properties Advanced Math/Pre Calculus Mini Lesson

This SmartBoard mini lesson includes determining if a relation is a function, function notation, implied vs relevant domain, findng the domain and range of a function, continuity and types of discontinuity, increasing and decreasing functions, boundedness, local extrema, even and odd functions, identifying asymptotes,and using limit notation,
Preview of Calculus Weekly Bell Ringers Math Review Problems 3 with Editable

Calculus Weekly Bell Ringers Math Review Problems 3 with Editable

Do you need a great way to start your Calculus course with bell ringers? Comes with 30 review problems on topics such as factoring, finding limits, discussing increasing and decreasing, finding basic slopes, etc. I use this with my Calculus students about a month into school as openers. Great way to get students checking solutions with a peer and creating an appropriate learning environment from day 1. They are designed to be pretty quick and be conversation starters for Derivative problems.
Preview of AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET

AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET

Created by
MATH WITH YOSH
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
Preview of Calculus Applications of Derivatives

Calculus Applications of Derivatives

Applications of Derivatives Scavenger Hunt is a hands-on activity for students to solve derivative questions connecting f, f’ and f’’. Students will practice finding critical points, relative and absolute extrema, intervals of increasing, decreasing and concavity as well as finding inflection points. This resource includes 20 problem total with 16 questions in the scavenger hunt and 4 follow up error analysis questions that are perfect to use for early finishers or as an additional practice ac
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