Percent Increase and Decrease Quiz - Page 2
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Programs & methods
Inc/Dec Functions
This joke handout has 8 problems where students use a first derivative to find where the function is increasing and decreasing.
11th - 12th
Calculus
Critical Numbers, First and Second Derivatives
Critical Numbers, First and Second Derivatives.
In this file, there are problems related to finding critical numbers, intervals of increase / decrease, local maximums and minimums, concavity and inflection points.
10th - 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
Graph Analysis Using the 1st Derivative Notes, Examples, Handout, & Assignment
This resource includes notes, examples, and assignment using the 1st derivative to analyze functions. Topics included are: · Critical Numbers · Intervals of Increase and Decrease · Relative Extrema · Absolute Extrema Function types included are: · Quadratic · Cubic · Rational · Trigonometric
11th - 12th, Higher Education
Calculus
Analyzing Functions
Students will use Calculus to find: o Domain (pre requisite for Calculus) o Zeros (pre requisite for Calculus) o Intervals of increasing/decreasing o Where extrema exist o Extreme Values o Inflection points o Intervals of Concave up/down This is meant to be used after instruction on using the first and second derivative test. This can be used as individual practice for HW assignments or the problems can be used for students to analyze individually for a project. I have also included graph p
12th
Calculus
Derivatives -Graph Analysis Using Tables - Notes, Examples, Handout & Assignment
This resource includes notes, examples, handout and assignment analyzing graphs of functions using tables. Tables include: · Relative Extrema · Inflection Points · Intervals of Increase and Decrease · Intervals of Concave Upward and Concave Downward · Vertical Asymptotes Students will complete tables with: · Information about f(x) · Information about f'(x) · Information about f''(x) · Description of graph
11th - 12th, Higher Education
Calculus
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)
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
Calculus Summer Assignment
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
10th - 12th
Calculus, PreCalculus
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
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 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
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
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
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