Percent Increase and Decrease Quiz - Page 2
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Function Analysis Chart
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!
10th - 12th, Higher Education
Calculus
Derivatives to Determine Function Behavior | Digital Google™ Sheets
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
10th - 12th, Higher Education
Calculus
Also included in: 12 Days of Calculus for Christmas | Digital Activities in Google™ Sheets
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
11th - 12th, Higher Education
Calculus
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.
9th - 12th
Calculus, Math Test Prep, PreCalculus
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
10th - 12th
Calculus, Graphing
Analytical Derivatives (AP Calc Unit 5) Bilingual Vocabulary (English/Spanish)
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
12th, Higher Education
Calculus
Calculus 1 (AB) Study Guide Formulas Reference Sheet 1 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
10th - 12th, Adult Education, Higher Education
Calculus, Math
AP Calculus Test Questions: Analysis of Graphs
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
9th - 12th, Higher Education
Calculus, Graphing
Calculus Related Rates Digital plus Print
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
11th - 12th, Higher Education
Calculus
Also included in: Calculus Derivatives Digital Unit Bundle plus printables
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
11th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus - Units 1 thru 8 - BUNDLE of REVIEW CIRCUITS (w/ Solutions!)
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
12th, Higher Education
Calculus
Also included in: AP® Calculus AB - Full Course Curriculum
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
11th - 12th
Calculus, Math
Also included in: Calculus Chain Rule, Curve Sketching, Limits & More Puzzle Bundle
Applications of Derivatives 1-Pager AP Calculus AB
AP Calculus AB: Applications of Derivatives 1-Pager | Extrema, Concavity & OptimizationHelp your students master one of the most heavily tested AP topics with this comprehensive applications of derivatives summary sheet. Includes: ✔ Critical numbers and extrema ✔ First and Second Derivative Tests ✔ Increasing/decreasing intervals ✔ Concavity and points of inflection ✔ Optimization strategy ✔ Rolle’s Theorem ✔ Mean Value Theorem ✔ Curve sketching checklist ✔ Tangent line approximation & different
11th - 12th, Higher Education
Calculus
Also included in: AP Calculus AB 1-Pager Bundle | Complete Exam Review & Concept Maps
12th Grade Calculus - Unit 3: Applications of Derivatives
12th Grade Calculus USA High School Calculus This resource includes:-12 Presentations -12 Worksheets with Solutions -1 Reference Sheet -1 Unit Test with Solutions Unit 3 – Applications of Derivatives3.1 Using the derivative to find slope of tangent and equation of tangent/normal lines 3.2 Critical points; local maxima and minima; first derivative sign charts 3.3 Increasing/decreasing intervals; First Derivative Test 3.4 Concavity and points of inflection; Second Derivative Test 3.5 Sketching cur
12th
Calculus
Also included in: 12th Grade Calculus - Full Course Curriculum
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
10th - 12th
Calculus, Math Test Prep, Other (Math)
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
11th - 12th
Calculus
Error Analysis: Applications of Derivatives - Part 1
One of the best ways for students to learn is by correcting mistakes- theirs or someone else’s. The Error Analysis of Derivative Applications will give students an opportunity to find common mistakes when determining tangent lines, critical numbers, extrema, interval of increasing and decreasing, inflection points, and concavity. Students will identify the mistake and then solve the problem correctly. Each problem is on a separate sheet, so you can mix and match to your students’ needs. The sol
11th - 12th
Calculus, Math
Calculus Super Secret Number Puzzle Curve Sketching Two
In this super secret number puzzle, students will practice finding important features of the original function, the first derivative of the function, and the second derivative of a function given a graph. 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 t
11th - 12th
Calculus, Math
Also included in: Calculus Chain Rule, Curve Sketching, Limits & More Puzzle Bundle
Graph Analysis 1st Derivative - Something Old, New, Borrowed and True Warm Up
This is designed to use as a warm up or starter activity. Something Old: A previous topic needed to support the current topic or topic coming soon. Finding the 2nd derivativeSomething New: The current topic. For this resource - Finding intervals of increase and decreaseSomething Borrowed: A totally different topic designed to help prevent learning loss. For this resource - Identifying Trig ratiosSomething True: An interesting fact or story in math. For this resource - Statistical studies show t
11th - 12th, Higher Education
Calculus
Also included in: Derivatives Including Applications Warm Up Bundle
Derivative Detectives: f, f ′ , and f ′′ Graphing Activity | Calculus Review
Turn derivative graph analysis into an engaging mystery with Derivative Detectives! In this calculus activity, students act as detective mathematicians as they analyze evidence, examine suspect graphs, and connect a function with its first and second derivatives. Students practice identifying relationships between f, f′, and f′′ using increasing/decreasing behavior, local extrema, concavity, inflection points, and derivative sign patterns. What’s Included Teacher instructions Student packet
11th - 12th, Higher Education
Calculus
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
11th - 12th
Calculus, Math
British Columbia Grade 12 Calculus - Unit 3: Applications of Derivatives
British Columbia Grade 12 Calculus BC Grade 12 Calculus This resource includes: -One Presentation for each section -One Worksheet set with solutions for each section -One Reference Sheet for the Unit -One Unit Test with Solutions for the Unit Unit 3 — Applications of derivatives3.1 Increasing/decreasing behavior and concavity3.2 Differentiability (and what it means in graphs/contexts) 3.3 Mean Value Theorem (what it guarantees; interpreting it) 3.4 Newton’s method (root approximation + interpre
12th
Calculus
Also included in: British Columbia Grade 12 Calculus - Full Course Curriculum
Power Rule Worksheet
This Power Rule worksheet provides straightforward, independent practice for students learning how to differentiate functions using the Power Rule. Unlike a guided worksheet, this resource is designed for students who are ready to apply the rule on their own without structured steps or prompts. The problems increase in complexity to help build fluency and confidence while reinforcing foundational derivative skills. Perfect for classwork, homework, bell-ringers, or quick review before quizzes and
11th - 12th, Higher Education
Calculus, PreCalculus
Functions Big Review
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
9th - 12th
Calculus, PreCalculus
CCSS
HSA-APR.A.1
, HSF-IF.A.1
, HSF-IF.A.2
+14
Also included in: Calculus Essential Back to School Review Bundle
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