Percent Increase and Decrease Quiz - Page 7
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Applications of Derivatives Cheat Sheet | MVT, EVT, Optimization & Related Rates
Take your students beyond basic derivatives with this powerful Applications of Derivatives Cheat Sheet for AP Calculus! This 2-sided, one-page resource clearly organizes the most important concepts from Units 4 & 5, helping students apply derivatives in real-world and exam-style situations. 📘 What’s Included:• Mean Value Theorem (MVT) • Extreme Value Theorem (EVT) • Critical points and the Candidate’s Test • Increasing & decreasing intervals • First and Second Derivative Tests • Concavity and
9th - 12th, Adult Education, Higher Education
Applied Math, Calculus, Math Test Prep
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
SIX Curve Sketching Worksheets + Key + Summary of Curve Sketching - Calculus 1
This product (pdf) can be used as an in-class activity / homework / group work for curve sketching in differential calculus. The first 2 pages does a review of curve sketching. There are 6 curve sketching questions, followed by their key. For each question, the student must find the following: - domain - x,y intercepts - horizontal asymptotes (using limits) - vertical asymptotes (using limits) - increasing/decreasing (using first derivative) - local max/min (first derivative test) - concavity
12th, Adult Education, Higher Education
Calculus, Math Test Prep
Precalculus Analyzing Rational Functions
This product is designed for Precalculus students (or Advanced Algebra II or remediation for Calculus students) studying general rational functions. It includes 10 general rational functions where the student must factor and simplify the rational function. Then identify the horizontal asymptote, vertical asymptotes, slant asymptote, holes, x-intercepts, y-intercepts, domain, range, relative minima (by calculator), relative maxima (by calculator), intervals of increasing, intervals of decreasing,
10th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, PreCalculus
Calculus - Graphic Organizer for Slope Along Inverse Functions
Graphic organizers can help students gather the required information to solve a problem. In calculus students often deal with inverse functions and find the instantaneous rate of change on the function and its inverse. This package contains one graphic organizer that can assist students in answering questions about inverse functions and their derivatives. The graphic organizer shows two possible graphs One shows two increasing functions and the other shows two decreasing functions. The studen
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus - Graphic Organizer Bundle
Calculus Particle Motion Calculator Circuit
All 14 problems on this circuit require students to use their calculator. Questions cover many aspects of particle motion; however there are no integral problems so this is intended to be used prior to students learning integrals. Students are given either a velocity or position function and asked to find interval(s) when a particle is moving left/right/up/down, when speed is increasing/decreasing, and when acceleration is positive/negative and other questions. Students also get practice typi
12th
Calculus
Rates of Change, Max, Increasing, Chain Rule AP Questions 2
This is 2 questions styled after AP released questions. Both are calculator questions.
The first question gives a rate equation and students have to determine the number of kilometers and the number of liters/gasoline used given a certain time and given a certain speed. Chain rule needed.
The second question gives students a rate equation also. They have to determine the rate of losing water and gaining water, increasing and decreasing amounts, and the maximum amount.
Both questions are given
11th - 12th
Calculus
Calculus Multiple Choice Derivative Questions
Are you tired of writing multiple choice questions? Here is a set of 50 questions already written for you! These questions cover topics such as: •Using the power rule •Using the product rule •Using the quotient rule •Using the chain rule •Finding derivative by using graphs •Finding derivative by using tables •Derivatives of trig functions •Derivatives of natural log function •Derivative of exponential functions •Position velocity and acceleration •Where is the maximum/minimum •Where is the func
11th - 12th
Calculus
Graphs of First & Second Derivatives Identify and Match f, f', f''
In this activity students practice identifying the Graphs of a function and its first and second derivative, f, f ', and f ''. They analyze 3 graphs, one blue, one black, and one red, superimposed on the same coordinate grid, to determine which is the graph of original function, the graph of first derivative, and the graph of the second derivative. The activity does not require differentiation, but requires students to understand increasing, decreasing, relative extrema, and concavity. Man
11th - 12th, Higher Education
Calculus, Graphing
Also included in: Calculus Applications of Differentiation Unit Bundle
Calculus Functions Review Maze
This Functions Review Maze for Calculus is a review of the Algebraic topics of functions. Students solve 11 problems on topics from PreCalc that they need to brush up on as they enter Calculus. There are no trig functions included in this resource. Use individually or as a back to school partner activity. Topics include: Odd and Even functionsTransformationsDomain and rangePiecewise Defined FunctionsComposition of Functions Rational RootsIncreasing and DecreasingMaximum and MinimumInvers
11th - 12th
Calculus, Math
Calculus Curve Sketching Introduction Digital Cards
This Intro to Curve Sketching Digital Task Card Activity will introduce your Calculus students to Curve Sketching by applying what they have learned about the first and second derivatives. In this activity, students analyze and identify graphs based upon a table of values for f(x) and f'(x). This makes a great activity for class discussion. I use this activity before doing any of the sections in the unit, before extrema, increasing – decreasing, critical values, absolute and relative maxi
10th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Digital Activity Bundle First Semester with Printables
Curve Sketching & Exploring Functions Using Calculus - 3 Products in a Bundle
This is a bundle of 3 products on curve sketching using Calculus. Here is the description of each product: Description of the first product:This is an engaging and collaborative partner activity for analyzing and sketching graphs of polynomial and rational functions using Calculus. Students are given five sections to work through. In each section partners are given two functions of the same type to identify their features (intercepts, asymptotes, intervals of increase and decrease, local maximu
11th - 12th
Calculus
AP Calc AB Summer Prep Work - Version 1
The Sumer Prep Work packet contains review questions for all of the following topics along with a sample test designed to specifically target calculator and non-calculator skills. 1. Operations with Rational Numbers and Radicals 2. Understanding Radical and Rational Exponents 3. Writing the Equation of a Line 4. Solving Systems of Equations 5. Solving General Equations 6. Graphing Parent Functions 7. Transforming Functions 8. Identifying the Domain and Range of Functions 9. Identifying Extrema,
12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
AP Calculus AB Summer Prep Work - Version 2
The Sumer Prep Work packet contains review questions for all of the following topics along with a sample test designed to specifically target calculator and non-calculator skills. 1. Operations with Rational Numbers and Radicals 2. Understanding Radical and Rational Exponents 3. Writing the Equation of a Line 4. Solving Systems of Equations 5. Solving General Equations 6. Graphing Parent Functions 7. Transforming Functions 8. Identifying the Domain and Range of Functions 9. Identifying Extrema,
12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
AP Calculus AB Summer Prep Work - Version 3
The Sumer Prep Work packet contains review questions for all of the following topics along with a sample test designed to specifically target calculator and non-calculator skills. 1. Operations with Rational Numbers and Radicals 2. Understanding Radical and Rational Exponents 3. Writing the Equation of a Line 4. Solving Systems of Equations 5. Solving General Equations 6. Graphing Parent Functions 7. Transforming Functions 8. Identifying the Domain and Range of Functions 9. Identifying Extrema,
11th - 12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
Calculus Curve Sketching Introduction with Derivatives QR Task Cards
This engaging and challenging Calculus Introduction to Curve Sketching activity will have your Calculus students apply what they have learned about the first and second derivatives. This resources is especially helpful for visual learners. In this activity, students analyze and identify graphs based upon a table of values for f(x) and f′(x) and match tables with their respective graphs. I use this activity before doing any of the sections in the unit, before extrema, increasing – decreasing
11th - 12th, Higher Education
Calculus, Math
Also included in: Calculus Applications of Differentiation Unit Bundle
Calculus Lesson Plans Ch. 3B: More Applications of Derivatives
These are the assignments I give my students for the second half of Ch. 3 in Larson Calculus 10 ed. I divide Ch. 3 on Applications of Differentiation into two units. In this chapter, Ch. 3B, students use derivatives to work optimization problems, work more linear approximations and approximate error using differentials (a great forerunner to the next chapter on integrals). In Ch. 3A Curve Sketching, students learned all the characteristics of graphs such as extrema, increasing/decreasing, and co
11th - 12th
Calculus
Also included in: Calculus Unit Bundle 3B: Optimization and Differential Application
AP Calculus Derivative Review
AP Calculus Derivative Review Prepare your AP Calculus students for success with this comprehensive 30-question derivative review worksheet! This resource is designed to reinforce key derivative concepts and applications, ensuring your students are ready for the AP exam or any rigorous calculus assessment. What's Included:30 Multi-Part Questions: This worksheet covers a wide range of derivative topics, from basic differentiation rules to advanced applications like related rates, optimization, a
11th - 12th, Higher Education
Applied Math, Calculus, Math
Also included in: AP Calculus Derivative and Integral Review | Cumulative | End of Year
Warm-ups: Analytical Applications of Derivatives
How do I provide a meaningful activity for my students at the beginning of class while I deal with my classroom responsibilities (roll, helping students who were absent, etc.)? These warms-ups are the answer! The questions are designed to take students five to ten minutes to solve. Then the step-by-step solution is easy for students to follow as they check their work. A PDF containing all the problems is included for students to use. Concepts included:· Extrema on an interval. · The Mean Valu
10th - 12th
Calculus, Math
Drawing and Interpreting The Rate of Change Function for PDF
Included in this zip folder are 6 PDF files. Below is a brief description of each. 1. AROC on equal Length Intervals #1. The students graph a specific degree 4 polynomial at Desmos and record the AROC on equal length intervals by moving points along the graph. The Desmos link is included in the file. This can be printed or completed at Classwork.com. Here is a link of the student view.2. Change in the Rate of Change Assignment #2. This is a 6 graph Desmos activity where the student color
11th - 12th
Calculus, PreCalculus
AB/BC Worksheet 3-7 (Curve Sketching)
This bundle includes three documents. The first is an easily printable pdf file of my worksheet, the second is a fully editable version of the same worksheet, and the third is a full-color answer key in pdf format. Worksheet 3-7 can be used for both AB and BC courses. It is four pages long, provides ample room for students to stay neat & to show their work, and contains 15 questions (several with multiple parts) covering the following topics: -complete analysis of the graph of a function, i
9th - 12th, Higher Education
Calculus, Math
Also included in: Unit 3 Editable Worksheets & Keys--AB/BC (Applications of Derivatives)
Mega Math Practice Bundle | 111 Printable PDF Worksheets | All K-12 Skills
TITLE:Mega Math Practice Bundle – 111 Printable Worksheets Covering K–12 Skills Across 10 Topics PRODUCT DESCRIPTION:Unlock the ultimate printable math collection with this all-in-one Mega Math Practice Bundle—a powerhouse set of 111 high-quality PDF worksheets spanning every major math domain from Kindergarten through 12th grade. Organized into 10 expertly crafted topic bundles, this pack delivers thousands of skill-building questions across fluency drills, conceptual practice, and rea
PreK - 12th, Adult Education, Higher Education
Algebra, Calculus, Numbers
Average vs Instantaneous Rate of Change Pack (Grades 11–12)
This Grades 11–12 Precalculus → AP Calc AB bridge pack teaches the difference students constantly mix up: secant slope = average rate of change versus tangent slope = instantaneous rate of change (derivative). The progression is built for understanding and accuracy, not memorization. Students begin with a visual secant-vs-tangent comparison, then compute average rate from tables and graphs and practice writing interpretations with correct units (output per input). Next, they learn how to e
11th - 12th
Algebra 2, Calculus, Math Test Prep
Mega Practice Set – Graphs of Exponential Functions (AP Precalculus)
This Mega Practice Set is a collection of 32 multiple-choice exercises designed to help students master the behavior and graphing properties of exponential functions. Perfect for AP Precalculus classes, tutoring sessions, review days, and targeted skills practice. This PDF is organized into three levels of difficulty: Level 1 – Exponential Growth/Decay & LimitsStudents determine whether a function represents growth or decay, analyze end behavior, and calculate limits Level 2 – Table Interpre
10th - 12th, Higher Education
Calculus, Graphing, PreCalculus
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