Percent Increase and Decrease Quiz - Page 3
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Calculus Curve Sketching Problems Pixel Art
This is a set of 12 questions that your students can use to practice working with curve sketching. In this set, students must be familiar with absolute maximum, absolute minimum, relative maximum, relative minimum, increasing, decreasing, concave up, and concave down. Students solve each question. They type in their answers rounded to three decimal places. If they are correct, pieces to the mystery picture appear. If they are incorrect, the box turns red and no pieces to the picture appear. Thi
11th - 12th
Calculus
Also included in: Calculus Digital Bundle - Perfect for Distance Learning
AP Calculus: The First and Second Derivative Tests Complete Lesson
This lesson introduces the First and Second Derivative Tests in the context of polynomials. (The lesson on Curve Sketching uses these tests to examine other types of functions.) The lesson begins with a review of increasing and decreasing functions as well as critical numbers. Then, the First Derivative Test is introduced, along with an application. After that, concavity and inflection points are introduced. Finally, the Second Derivative Test is shown, along with an example. This lesson is
10th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus AB Full Curriculum
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
AP Calculus: Curve Sketching Complete Lesson
In this lesson, students gain practice in using calculus to understand the features of a graph. Students learn to identify the domain, intercepts, and symmetry of a function. They also practice using calculus to find asymptotes, intervals of increase and decrease, intervals of concavity, local extrema, and points of inflection. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Features of a Function -Rational Function -Tr
10th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus AB Full Curriculum
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
Pi Day Trivia Activity: Graph Analysis Using 1st Derivative (editable)
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
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
AP Calculus: Graphing the Derivative Complete Lesson
This lesson helps students learn how to graph the derivative of a function, given a graph of the function. Students also learn how to interpret the graph of the derivative and they make the connection between the derivative of the position function and the velocity function. Increasing and decreasing functions are also introduced. Finally, students learn how to estimate derivatives from a table of values and then use those values to create a graph of the derivative. This lesson is appropriate
9th - 12th, Higher Education
Calculus, Math
Also included in: AP Calculus: Derivatives Unit Bundle
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
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
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
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
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 Curve Sketching Color by Number
In this packet, students will practice what they know about curve sketching. There are 14 questions included in this activity. Students answer each of the questions and then use those answers to color a picture. In order to be successful with this activity, students should be able to find where a function is increasing, decreasing, concave up, concave down and where the maximum, minimum, and points of inflection are. Answer key is included. Coloring Sample included. A page where students can sho
11th - 12th
Calculus
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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