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Percent Increase and Decrease Quiz - Page 5

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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 Graphs of Derivatives Investigation

Graphs of Derivatives Investigation

When to Use Use this activity as an introduction to the unit on curve  sketching before doing any of the algebra to determine  intervals of increasing, decreasing, and so on. How to Use Put students in pairs so they have one another to discuss the  questions with. This is an excellent resource to use as a point  of discussion and for students to notice patterns.
Preview of AP Calculus - Unit 5 - REVIEW CIRCUIT (with Solutions!)

AP Calculus - Unit 5 - REVIEW CIRCUIT (with Solutions!)

This circuit contains 32 problems that cover all of AP® Calculus Unit 5 - Analytical Applications of the Derivative (Mean Value Theorem, Absolute Extrema, Relative Extrema, Increasing/Decreasing Intervals, Concavity, Second Derivative Test, Connecting Graphs of a Function and its Derivative, Optimization, Behavior of Graphs of Implicit Relations). To allow for greater flexibility, the circuit is provided in three forms. The first is the complete 32 problem circuit. The second is 17 questions c
Preview of Connecting a Function, Its First, and Second Derivative Matching Graph Activity

Connecting a Function, Its First, and Second Derivative Matching Graph Activity

Looking for a fun and engaging Calculus activity to help students practice connecting a function, Its first derivative, and its second derivative? Students will practice with increasing and decreasing functions and concavity. This easy to check matching activity is perfect for students to gain confidence when connecting the graph of f to f' and f''. This is a great activity to help students understand that a function’s derivative can be used to understand some behaviors of the function. Th
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 AP® Calculus AB/BC - Unit 5: Analytical Applications of Differentiation

AP® Calculus AB/BC - Unit 5: Analytical Applications of Differentiation

This resource includes one powerpoint-style lesson (example is in the preview) per section, one worksheet set with full solutions per section, one reference sheet for the unit, and one unit test for the unit with solutions. Unit 5: Analytical Applications of Differentiation5.1 The Mean Value Theorem (MVT) and Rolle's Theorem 5.2 Using the First Derivative Test (Increasing/Decreasing, Critical Points) 5.3 Using the First Derivative Test (Relative Extrema) 5.4 Using the Second Derivative Test (Con
Preview of AP Calculus Christmas Graphing Activity - Connecting f f' f''  - Coloring Sheet

AP Calculus Christmas Graphing Activity - Connecting f f' f'' - Coloring Sheet

Welcome in the holiday season with this fun review activity based on several standards from AP Calculus listed below! 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points5.3 Determining Intervals on Which a Function is Increasing or Decreasing5.4 Using the First Derivative Test to Determine Relative Local Extrema5.6 Determining Concavity of Functions over Their Domains5.8 Sketching Graphs of Functions and Their Derivatives5.9 Connecting a Function, Its First Derivative, an
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 Calculus Summer Assignment

Calculus Summer Assignment

Created by
Idempotent
Self-executing lessons are ideal for sub-plans, as supplemental material for "flipped" classrooms, or for any teacher wanting to leverage their limited instructional time. The learning of basic notation and rules is accomplished via pattern recognition. This self-executing lesson will get precalculus students started learning calculus over the summer so that next year begins smoothly. It would be particularly useful for calculus teachers needing to accelerate the pacing of their curriculum. DA
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 Calculus - How Can One Graph Help Describe Another Graph?

Calculus - How Can One Graph Help Describe Another Graph?

This activity incorporates the graphing calculator to help students understand how the behavior of one graph can describe the behavior of another function. Three related equations are entered in y1, y2, and y3 in the graphing calculator. • The original function is entered in y1. • An expression that represents the derivative of y1 is entered in y2. • An expression that represents the derivative of y2 is entered in y3. After graphing y1, y2, and y3 in the same window, a series of questi
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 Calculus Curve Sketching Activity Mystery Printable

Calculus Curve Sketching Activity Mystery Printable

Engage your students with The Case of the Chaotic Curves, a fun and challenging AP Calculus curve sketching activity! In this Detective Digit mystery, students analyze functions using key calculus concepts like increasing and decreasing, relative extrema, concavity, and points of inflection to solve the case. This no-prep activity includes multiple choice questions that require students to interpret f(x), f′(x), and f′′(x), making it perfect for AP Calculus AB review, test prep, or a fast
Preview of Calculus Applications of Derivatives

Calculus Applications of Derivatives

Created by
Lisa Jones
Through this activity students will determine critical numbers of functions, locate relative extrema and points of inflection, and utilize the first and second derivatives to locate intervals on which the function is increasing or decreasing and to describe its concavity. On the last problem, students will utilize all of these techniques, as well as their prior knowledge of finding the roots of a polynomial to graph a cubic function.
Preview of First & Second Derivative Matching Cards (Revised)

First & Second Derivative Matching Cards (Revised)

Students work in groups of two or three to match the graph of a function, the graph of the first derivative, the graph of the second derivative, information from the first derivative (increasing, decreasing & horizontal tangent locations) and information from the second derivative (concavity & inflection points).
Preview of Thanksgiving Calculus First & Second Derivative Tests Pixel Art Mystery Pictures

Thanksgiving Calculus First & Second Derivative Tests Pixel Art Mystery Pictures

Created by
Qwizy
Celebrate Thanksgiving with engaging calculus activities focused on the first and second derivative tests. Students analyze functions, including quadratics, cubics, quartics, rationals, and those with rational exponents, to determine critical points, intervals of increasing/decreasing values, inflection points, and concavity intervals. Each correct analysis unveils part of a festive Thanksgiving pixel art scene, making calculus exploration both educational and enjoyable. Product Highlights⭐️ 25
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
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