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Preview of Analyzing Functions

Analyzing Functions

Created by
Teresa Gels
Students will use Calculus to find: o Domain (pre requisite for Calculus) o Zeros (pre requisite for Calculus) o Intervals of increasing/decreasing o Where extrema exist o Extreme Values o Inflection points o Intervals of Concave up/down This is meant to be used after instruction on using the first and second derivative test. This can be used as individual practice for HW assignments or the problems can be used for students to analyze individually for a project. I have also included graph p
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 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 Derivatives of Logarithmic Functions - 15 Practice Problems

Derivatives of Logarithmic Functions - 15 Practice Problems

Created by
Niki Math
These are 15 practice problems on differentiation of logarithmic functions. The first twelve of the problems are finding the first derivative of common and composite logarithmic functions. The problem 13 is finding the tangent line of a logarithmic function at a given value of x. Problems 14 and 15 are determining if a logarithmic function is increasing or decreasing at three different values of x. I hope the practice sheet gives enough room for your students to show work. The product can be use
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 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 1st Semester REVIEW - "Gingerbread" Task Cards Christmas Activity

CALCULUS 1st Semester REVIEW - "Gingerbread" Task Cards Christmas Activity

Created by
Niki Math
This fun gingerbread cookies themed activity will help your students review such topics as ❄ first and second derivatives ❄ evaluating limits using L’Hospital’s Rule ❄ finding asymptotes of functions ❄ intervals of increasing and decreasing ❄ critical points and local extrema ❄ intervals of concavity and inflection points ❄ finding the equation of a tangent line ❄ implicit differentiation ❄ logarithmic differentiation The functions included are rational, radical, trigonometric, inverse trig
Preview of Calculus Super Secret Number Puzzle - Curve Sketching

Calculus Super Secret Number Puzzle - Curve Sketching

In this super secret number puzzle, students will practice finding important features of graphs by being given the original function. Students need to know how to find where functions are increasing and decreasing, where functions have maximums and minimums, where functions are concave up and down, and where functions have inflection points. Students find the answers to each of the ten questions and then add their answers together – this is the super secret number. After a bit of time, I tell
Preview of Calculus Derivative Tests, Related Rates, IVT, MVT, EVT for Graphic Organizer

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
Preview of Calculus: The First Derivative Test – Comprehensive "3-in-1" Practice

Calculus: The First Derivative Test – Comprehensive "3-in-1" Practice

Created by
Niki Math
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
Preview of Key Features of Functions Task Cards (Basic Level)

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
Preview of Key Features of Functions Task Cards (Expert Level)

Key Features of Functions Task Cards (Expert Level)

Key Features of Functions Task Cards (Expert 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 e
Preview of Calculus First Derivative Test Maze

Calculus First Derivative Test Maze

Created by
Joan Kessler
This fun activity for the 1st Derivative Test will engage you Calculus students while studying Analytical Applications of Differentiation. Students use the 1st Derivative Test to determine if the function is increasing, decreasing, or neither at a given point. This activity is designed to be used without Graphing Calculators. There are 16 problems and students must complete 15 of them to correctly complete the maze. An answer key is included.I have also included a student show your work page
Preview of Differentiation Task Cards (Calculus-Station Activity)

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
Preview of Derivative Product and Quotient Rules WORKSHEET | Digital and Print

Derivative Product and Quotient Rules WORKSHEET | Digital and Print

Created by
Hoff Math
Calculus students will strengthen their skills with this ready-to-go worksheet, where they find derivatives using the product rule and quotient rule. This comprehensive worksheet includes a variety of exercises that progressively increase in difficulty, allowing students to practice applying the product and quotient rules to various functions. The worksheet comes with an answer key for the convenience of the teacher, and for a digital and self-checking experience, a Google Forms version is a
Preview of Calculus CURVE ANALYSIS Where is f increasing AND concave up? Dec/Conc up? Etc.

Calculus CURVE ANALYSIS Where is f increasing AND concave up? Dec/Conc up? Etc.

Created by
Amy Reed
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
Preview of Applications of the Derivative Valentine's Day Color by Number Activity

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
Preview of Calculus - How are the Graphs of f, f ', and f " interrelated?

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
Preview of Change in Tandem AP® Precalculus 1.1 Activity Cut and Paste

Change in Tandem AP® Precalculus 1.1 Activity Cut and Paste

Do you find that your AP ® Precalculus need more help on the change in tandem topic? Students will work on identifying the relationship between the input and output for given functions graphically and describe the rate of change as increasing, decreasing, positive and negative for AP ® Precalculus topic 1.1. This activity can be completed as just a worksheet or as a cut and paste activity. Students can cut out the solutions and paste them into the specific box for easy differentation as well.
Preview of Pi Day Activity: Graph Analysis Using the 1st Derivative

Pi Day Activity: Graph Analysis Using the 1st Derivative

Students will use the 1st derivative to answer 20 graph analysis questions in each section . The correct graph analysis answers will lead to the correct answers to trivia questions related to pi. Sections include: finding critical numbersfinding intervals of increase and/or decreasefinding relative extremafinding absolute extrema
Preview of Calculus Maze Curve Sketching

Calculus Maze Curve Sketching

In this puzzle, students will practice curve sketching problems. Students find their way from the beginning to the end of the maze by solving each problem. In order to be successful with this maze, students should be able to find where a function is increasing, where a function is decreasing, where a function is concave up, where a function is concave down, where a function has a maximum, and where a function has a minimum. Answer key is included.
Preview of AP Calculus - f' Analysis Cheat Sheet

AP Calculus - f' Analysis Cheat Sheet

Created by
Bird's Eye Math
Help your students organize their thoughts of f' Analysis using thiHelp your students stay organized and master the fundamentals of calculus with this comprehensive, one-page f' Analysis Cheat Sheet. Perfect for AP Calculus students, this resource provides clear and concise explanations of critical points, increasing and decreasing functions, concavity, inflection points, and relative maximums and minimums using both the first and second derivative tests and how to justify them effectively! Key
Preview of Matching Using the First and Second Derivative Tests

Matching Using the First and Second Derivative Tests

This activity is a great way for students to review the first and second derivative tests and describe key features of a function. Students will work in pairs (recommended) to take a function and use the first and second derivative tests to find intervals of increase and decrease as well as intervals of concavity. Students will be given the following: - 10 function cards (A-J) - 10 first derivative test conclusions (colors) - 10 second derivative test conclusions (food) Students will find a grou
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