Percent Increase and Decrease Quiz - Page 6
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Applications of Derivatives: Maximum Velocity of a Cough
This is created to be an in class assignment graded assignment, which will take approximately 25 minutes depending on the skill levels of the students. The answer key/scoring guidelines are attached at the end of the worksheet. The worksheet should be used after Increasing and Decreasing Functions and the First Derivative Test are taught.
9th - 12th, Higher Education
Calculus, Math, PreCalculus
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.
11th - 12th
Calculus
AP Calculus - f' Analysis Cheat Sheet
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
9th - 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
Calculus: Derivatives of Logarithmic Functions - Three Products in a BUNDLE
This is a mini bundle on derivatives of logarithmic functions. It contains a total of 47 problems. Description of the first product: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 dec
11th - 12th
Calculus
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
Calculus Lesson Plans Ch. 3A: Curve Sketching
These are the assignments I give my students for the first half of Ch. 3 in Larson Calculus 10 ed. I divide Ch. 3 on Applications of Differentiation into two units. In Ch. 3A Curve Sketching, students learn all the characteristics of graphs such as extrema, increasing/decreasing, and concavity to sketch graphs and match derivative graphs with their function graphs. They also learn the major theorems – Intermediate Value, Extreme Value, Rolle’s, and Mean Value. In Ch. 3B, students use derivatives
11th - 12th
Calculus
Also included in: Calculus Unit Bundle 3A: Curve Sketching
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
Curve Analysis & Derivatives – A Complete Guide to Function Behavior | WORKBOOKS
Build deep understanding of functions using derivatives, limits, and curve analysisThis bundle is designed for high school math teachers who want students to move beyond procedural differentiation and toward true conceptual mastery of function behavior. Students learn how derivatives, limits, and asymptotes work together to describe increasing and decreasing behavior, local extrema, concavity, inflection points, and global structure of functions. Instead of isolated skills, the materials prese
9th - 12th
Calculus, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.A.3
+33
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
First Derivative Test Circuit for Intervals of Inc/Dec and Relative Extrema
First Derivative Test Circuit for Intervals of Inc/Dec and Relative Extrema is a no prep and self-checking activity for your calculus students! Using this circuit will give your students lots of practice with the applying the first derivative test to find critical points, relative extrema and intervals of increasing or decreasing. This First Derivative Test Circuit includes 16 problems. Students will see both equations and first derivative graphical representations. Questions in the circuit
11th - 12th, Higher Education
Calculus, Math
CCSS
MP1
, MP6
Logarithmic & Exponential Functions: Sort & Match Activity
Looking for an engaging way to help your students master logarithmic and exponential functions? This hands-on mix-and-match activity is perfect for reinforcing key concepts while making learning fun! Students will: • Sort functions and identify their domain, range, zeros, y-intercept, and more. • Analyze positive and negative intervals, and determine increasing and decreasing behaviors. • Complete a cut-and-paste activity to match functions with their corresponding parts and glue them in orde
10th - 12th
Algebra 2, Calculus, PreCalculus
Rational Functions Sort-and-Match Activity | Domain, Range, Asymptotes, and More
Rational Functions Sort-and-Match Activity | Domain, Range, Asymptotes, and MoreEngage your high school math students with this interactive Rational Functions Sort-and-Match Activity! This resource is designed to help students master the key characteristics of rational functions, including: • Domain and Range • Zeros • Vertical, Horizontal, and Slant Asymptotes • Increasing and Decreasing Intervals • Y-intercepts • Positive and Negative Intervals • End Behavior What’s Included: • 10 rati
10th - 12th
Calculus, Math, PreCalculus
CCSS
HSF-IF.C.7d
Calculus Board Sessions,Session 12,Maximum.minimum,particle motion
In this Board Session students will…
-get some exponent and trig practice
-find derivatives
-find "c" using the Mean Value Theorem
-apply derivatives to path of a particle
-work with Maximums, minimums, over a closed interval
-work with using a derivative to determine when a function is
increasing and decreasing
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 tr
11th - 12th, Adult Education, Higher Education
Calculus, Other (Math), PreCalculus
Complete Curve Analysis – Mastering Function Behavior in High School Mathematics
Curve sketching is more than drawing graphs—it is about understanding how functions behave. Complete Curve Analysis helps students move beyond memorized checklists toward genuine mathematical insight. This classroom-ready resource presents curve analysis as a coherent analytical process. Students explore how the function term, its derivatives, and its limits interact to shape the overall graph. By focusing on reasoning and interpretation, the material enables learners to explain why a funct
9th - 12th
Calculus, PreCalculus
Changes in Tandem - Anchor Charts - AP Precalculus & Precalculus
Anchor Charts for Changes in Tandem - AP Pre-Calculus & PreCalculusElevate your AP Pre-Calculus or PreCalculus lessons with these seven detailed anchor charts! Perfect for use as classroom posters, study aids, or review note cards, these charts visually and conceptually connect important concepts like rate of change, increasing/decreasing, and concavity. This set includes: • Rate of Change: Understand how a function’s increase or decrease is tied to its rate of change. • Concavity and Points of
10th - 12th
Calculus, Math Test Prep, PreCalculus
Rates of Change Roller Coaster Activity Practice AP® Precalculus 1.2 and 1.3
Do you find that your AP ® Precalculus need more help connecting rate of change to real scenarios? Students will work on describing how two quantities very together and find the average rate of change for AP ® Precalculus topic 1.2-1.3. ⭐Skills Required: Rates of ChangeIncreasing and decreasingRate of change increasing and decreasingConcave up and concave down❤️Resource is Great for: AP® PrecalculusAP® CalculusAlgebra 2Remote LearningHomeschoolingTutoring⭐Includes: 2-page activity (2 versions
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.4
Advanced Curve Sketching Practice — Calculus AB/Calculus 1
Transform curve sketching from a memorized checklist into a meaningful reasoning process. This Calculus AB practice packet gives students 10 full curve-sketching problems that build conceptual understanding through progressively challenging function types — polynomial, rational, trigonometric, logarithmic, exponential, and piecewise. Each question leads students through: Domain and range reasoning Continuity and differentiability Critical points and increasing/decreasing intervals Concavi
9th - 12th, Higher Education
Calculus, Graphing
Also included in: Advanced Curve Sketching Practice & Key— Calculus AB/Calculus 1
AP Calculus Editable Warm-Up Templates
⭐⭐This SET OF EDITABLE TEMPLATES is designed to enhance your warm-up exercises through the school year. There are editable text boxes for you to insert functions and equations for your students to get a start to your instructional days.⭐⭐ ✅ KEY CONCEPTS/TOPICS:Limits and ContinuityDerivatives RulesIntervals of Increase and DecreaseConcavityAntiderivativesDefinite IntegralsPosition, Velocity, AccelerationVolumes of SolidsI value your feedback. Please rate this product. If you have any issues or
9th - 12th, Higher Education
Calculus
Calculus First & Second Derivative Tests Matching Activity Game
Calculus First & Second Derivative Tests Matching Games are the perfect activities for your students to sharpen their understanding of an application of derivatives. Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. This product contains 5 Different Easter Matching Card
10th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Derivatives BUNDLE: Matching Activities
Continuity and End Behavior AP Calculus Graphic Organizer
Perfect for an AP® Calculus class working on limits and discussing how functions behave in certain ways including the test for continuity and end behavior. Comes with scaffolded notes with sample copy as well as answer key and an EDITABLE version. Students will learn the different rules for discontinuity, end behavior and increasing/decreasing through this sheet of notes. This is also great for Honors Precalculus towards the end of the year. Includes an EDITABLE PowerPoint file to make th
9th - 12th
Calculus, Graphing, PreCalculus
Thanksgiving Calculus First & Second Derivative Tests Matching Activity
Thanksgiving: Calculus First & Second Derivative Tests Matching Games are the perfect activities for your students to sharpen their understanding of an application of derivatives. Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. This product contains 5 Different Thanksg
10th - 12th, Higher Education
Calculus, Math
Christmas Calculus First & Second Derivative Tests Matching Activity
Christmas: Calculus First & Second Derivative Tests Matching Games are the perfect activities for your students to sharpen their understanding of an application of derivatives. Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. This product contains 5 Different Christmas Ma
10th - 12th, Higher Education
Calculus, Math
Easter: Calculus First & Second Derivative Tests Matching Games
Easter: Calculus First & Second Derivative Tests Matching Games are the perfect activities for your students to sharpen their understanding of an application of derivatives. Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. This product contains 5 Different Easter Matchi
10th - 12th, Higher Education
Calculus, Math
Also included in: Easter | Calculus Derivatives BUNDLE: Matching Activities
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