Percent Increase and Decrease Quiz - Page 3
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Programs & methods
Derivatives of Logarithmic Functions - 15 Practice Problems
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
11th - 12th
Calculus
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
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
11th - 12th, Adult Education, Higher Education
Calculus, Math Test Prep
AP CALCULUS BC - 7.9 LOGISTIC DIFFERENTIAL EQUATIONS WORKSHEET
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
10th - 12th, Higher Education
Calculus
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
Calculus: The First Derivative Test – Comprehensive "3-in-1" Practice
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
10th - 12th, Adult Education, Higher Education
Calculus, Math
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
Calculus First Derivative Test Maze
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
11th - 12th
Calculus, Math
Also included in: Calculus Applications of Differentiation Unit Bundle
Derivative Product and Quotient Rules WORKSHEET | Digital and Print
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
11th - 12th, Higher Education
Calculus, Math, PreCalculus
Calculus CURVE ANALYSIS Where is f increasing AND concave up? Dec/Conc up? Etc.
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
10th - 12th, Higher Education
Calculus, Math, PreCalculus
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
10th - 11th
Calculus, Math
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
10th - 12th, Higher Education
Calculus, Math
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
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.
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.4
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
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
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
Using Derivatives to Analyze Graphs | AP Calculus AB & BC | Circuit Activity
Optimize your AP Calculus AB and BC classes with this engaging Around-the-Room Circuit/Scavenger Hunt designed to review how derivatives can determine the characteristics of graphs! This interactive activity features 14 carefully crafted problems focusing on the first and second derivative tests to identify local maximums and minimums, points of inflection, and whether a graph is increasing or decreasing, as well as concavity. Key Features: Problem Types: 4 table interpretation problems (2 tabl
10th - 12th
Calculus, Math, Math Test Prep
Also included in: BUNDLE! Complete Derivative Rules Review for Calculus Success
Polynomial Functions and Rate of Change AP® Precalculus 1.4 Worksheet
Do you find that your AP ® Precalculus students need more help connecting average rate of change to graphs and applying key characteristics to polynomial functions? Students will work on describing how two quantities very together and find the average rate of change for AP ® Precalculus topic 1.4. ⭐Skills Required: Rates of ChangeIncreasing and decreasingRate of change increasing and decreasingMaximum and MinimumGlobal, absolute, local, relative❤️Resource is Great for: AP® PrecalculusAP® Ca
9th - 12th
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.B.4
5 INCR./DECR., RELATIVE EXTREMA, GIVEN F' IDENTIFY CHARACTERISTICS OF F
This Calculus worksheet is intended for students after they have learned the following topics (Unit 5 AP Calculus Course and Description): 5.3 - Determining intervals on which a function is increasing or decreasing 5.4 - Using the first derivative test to determine relative (local) extrema In this worksheet, students will practice given the graph of f', identifying the intervals of increase and decrease of f and where f has a local minimum and maximum. They will also practice given a function f,
10th - 12th, Higher Education
Calculus
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