Percent Increase and Decrease Quiz - Page 13
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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
Valentine's Day Calculus First & Second Derivative Tests Mystery Pixel Art
Celebrate Valentine's Day with a mathematical twist in our Calculus First & Second Derivative Tests Pixel Art Mystery Picture Coloring Activities! Students will engage in performing the first and second derivative tests to thoroughly analyze a variety of functions, including quadratics, cubics, quartics, rationals, and equations with rational exponents. They'll work to identify critical points, determine intervals of increasing and decreasing values, locate inflection points, and explore inter
10th - 12th
Calculus, Math
Also included in: Valentine's Day Calculus Derivatives BUNDLE: Math Pixel Art Activities
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
Maze - Analyzing Polynomial Functions
This maze is part of : Maze - BUNDLE Polynomial FunctionsThis maze is a good review of Analyzing Polynomial Functions. Before playing this maze, students are expected to be familiar with: - The domain of a polynomial function - How to find the y-intercept - How to find the zeros (using Graphing Calculator) - How to determine the end-behavior from the notation of the function - How to find increasing/decreasing intervalsThere are 15 questions where a different polynomial is give
9th - 12th, Adult Education, Higher Education
Algebra 2, Calculus, PreCalculus
CCSS
HSF-IF.C.7
, HSF-IF.C.7c
Also included in: Maze - BUNDLE ALL ABOUT Polynomial Functions
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
First and Second Derivative Graphical Properties of a Function Digital Activity
First and Second Derivative Graphical Properties of a Function Digital Activity - Mystery Puzzle. Calculus students will match the description of a graphical property of f(x). Each incorrect answer will light of red while correct responses are green and reveal one piece of the mystery image. This is a self checking activity!!! Concepts of f'(x) and f''(x) include f(x) Increasing and Decreasing First and Second Derivative TestPoints of Inflection of f(x)Relative Max and Relative Min on f(x)Conc
9th - 12th
Calculus, Math
Lesson: The First Derivative Test
Students often find success with the first derivative test once they understand how to apply it. By working through the examples visually and analytically, then applying the anchor chart, students can determine where the relative extrema are located. This lesson can be used as an introduction to the first derivative test, as remediation, or as review. Concepts included in this lesson are:Determining increasing and decreasing intervals. The First Derivative Test.Relative maximum and minimum
11th - 12th
Calculus, Math
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 Thanksgiving Review - "Turkey Hunting" Matching Game / Group Activity
Turn your Calculus review into a high-stakes, hilarious "Turkey Hunt"! 🦃🎯 Instead of a dry test, challenge your students to master the laws of derivatives while searching for the 15 "catchable" turkeys—and identifying the 3 lucky happy ones that get to stay in the field! Why this Review "Rocks" the Classroom:Comprehensive Derivative Coverage: This isn't just basic math. It covers:First, Second, and Higher-Order Derivatives.Intervals of Increasing/Decreasing functions.Critical Points & Local E
11th - 12th, Adult Education, Higher Education
Calculus
Also included in: THE ULTIMATE AP CALCULUS AB & BC BUNDLE (3100+ problems)
Matching the Graphs of First and Second Derivative (f' and f'') Digital Activity
Looking for a digital activity to engage students who are practicing graphing f' and f'', the first and second derivative of f? In this self-checking digital activity, students will match a function's graph with the graph of its first and second derivative. As they answer, they will receive instant feedback at the end of the activity! Students will use key features such as increasing and decreasing and concavity to help them identify the graph of the first and second derivative. Three cards ma
11th - 12th
Calculus, Math
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
Calculus Ch. 3A: Curve Sketching Unit Flipchart
Applications of derivatives continue with this flipchart to simplify your presentations!!!! All your notes and examples in one place!!!! No need to open the textbook or write problems to refer to. Just start and complete each day’s lesson on the unit with this flipchart. I divide Ch. 3 on derivative applications into two tests. In Ch. 3A, the students use derivatives to find absolute and relative extrema, increasing/decreasing intervals, concavity and points of inflection, and sketch graphs usin
11th - 12th
Calculus
Also included in: Calculus Unit Bundle 3A: Curve Sketching
Calculus Ch. 3B: More Applications of Derivatives Unit Flipchart
Applications of derivatives continue with this flipchart to simplify your presentations!!!! All your notes and examples in one place!!!! No need to open the textbook or write problems to refer to. Just start and complete each day’s lesson on the unit with this flipchart. I divide Ch. 3 on derivative applications into two tests. In Ch. 3A, the students use derivatives to find absolute and relative extrema, increasing/decreasing intervals, concavity and points of inflection, and sketch graphs usin
11th - 12th
Calculus
Also included in: Calculus Unit Bundle 3B: Optimization and Differential Application
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
AP Calculus Midterm 2006
This is the exam I gave my Calculus students in 2006. If I had it to do over again, I would add some more integration questions. Overall, the exam went well. It is broken down into two parts, 2 sections each and is meant to model the AP exam. The timing is based on two 55 minute sessions.
Topics include:
differentiation
implicit differentiation
integration
Rates of Change
Concavity
Increasing and Decreasing Functions
Curve Sketching
Vanessa Moon
11th - 12th, Higher Education
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
Modeling the spread of ebola using calculus (original and key)
This project has 4 pages.
page 1 gives data on the cases/deaths due to ebola. Students are asked to model both and find an appropriate function. [table to graph/function]
page 2 asks students to analyze the rate of change of the cases/deaths and find an appropriate derivative function. [approximate rate of change using slope in table, make graph/function]
page 3 asks students to consider an equation for the growth and use derivative analysis (increasing/decreasing concavity extremes) to answer
11th - 12th, Higher Education
Applied Math, Calculus, Other (Math)
AP Calculus AB Integral Applications Unit
This bundle includes the whole unit on integral applications as seen on the AP Calculus AB exam. All files come in word and PDF.
Students will be able to apply integrals to a variety of math and real world application problems; including curve sketching, particle motion, rate problems and volumes of solids of revolution. Students will be able to accurately sketch a curve given its derivative as well as connect the amount of increase and decrease to an integral. Students will be able to app
12th
Calculus
Thanksgiving: Calculus First & Second Derivative Tests Pixel Maze Match Bundle
Thanksgiving: Calculus First & Second Derivative Tests 3-in-1 Pixel-Maze-Match Mega Set – the perfect no-prep bundle! Includes self-checking pixel art with mystery picture reveals, differentiated maze challenges (correct path = success), and matching games for instant pair-and-check feedback. Ideal for differentiation, group work, sub days, homework, or spiral review. Students analyze functions, including quadratics, cubics, quartics, rationals, and those with rational exponents, to determine cr
10th - 12th, Higher Education
Calculus
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