Percent Increase and Decrease Quiz - Page 13
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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
Calculus: First & Second Derivative Tests Math Memory Game
Calculus First & Second Derivative Tests Math Memory Game includes all you need to play an exciting game of Memory and review an application of derivatives. Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. This Set Includes: 30 Memory Cards1 Answer Sheet2 Ways to Play: Ea
10th - 12th, Higher Education
Calculus, Math, Math Test Prep
Also included in: Calculus Derivatives BUNDLE: Math Memory Games
St. Patrick's Day: Calculus First & Second Derivative Tests Matching Games
St. Patrick's Day: Calculus First & Second Derivative Tests Matching Games are the perfect activities for your students to sharpen their understanding of an application of derivatives. Students will perform the first and second derivative tests to analyze functions (quadratics, cubics, quartics, rationals, & equations with rational exponents) to find critical points, intervals of increasing/decreasing values, inflection points, and intervals of concavity. This product contains 5 Different St
10th - 12th, Higher Education
Calculus, Math
Also included in: St. Patrick's Day | Calculus Derivatives BUNDLE: Matching Activities
Maze - Analyzing Polynomial Functions from GRAPHS *Odd Degree*
This maze is part of : Maze - BUNDLE Polynomial FunctionsThis maze is a good review of Analyzing Polynomial Functions from GRAPHS. The degree of the function being analyzed here is Odd. The graph of a polynomial function is given with some key points on the graph (pls see the preview) This activity ask students to use the graph and determine the:☑ Domain ☑ Range ☑ Sign of Leading Coefficient ☑ End behavior (using the arrow notation) ☑ Number of Turning Points ☑ Whether the degree is Even or
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
Maze - Analyzing Polynomial Functions from GRAPHS *Even Degree*
This maze is part of : Maze - BUNDLE Polynomial FunctionsThis maze is a good review of Analyzing Polynomial Functions from GRAPHS. The degree of the function being analyzed here is Even. The graph of a polynomial function is given with some key points on the graph (pls see the preview) This activity ask students to use the graph and determine the:☑ Domain ☑ Range ☑ Sign of Leading Coefficient ☑ End behavior (using the arrow notation) ☑ Number of Turning Points ☑ Whether the degree is Even or
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
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
Pre-Calculus - Maximizing the Volume of a Cone
This hands-on activity engages the students in constructing a cone from a circle,collecting data on the height and radius of the cone, creating a scatterplot, fitting a curve to the data and then estimating the maximum volume of the cone. Many students are surprised that the scatterplot indicates that the volume first slowly increases and then after a maximum volume occurs the volume quickly decreases. By working with a physical model helps students observe how the height, radius, and volume
11th - 12th, Higher Education
Calculus, Math
Matching a Function and the Graph of Its Derivative Digital Activity
Looking for a digital activity to engage students who are practicing graphing f', the derivative of f? In this self-checking digital activity, students will match a function's graph with the graph of its first 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 to help them identify the graph of the derivative. In this self-checking activity, students organize the tiles to make appropriate
11th - 12th
Calculus, Math
unit 7 exponential and logarithmic functions - graph , algebra 2
unit 7 exponential and logarithmic functions - graph , algebra 2Logarithmic Functions Graphing – Step-by-Step Sketching, Domain, Asymptotes & End Behavior (Student-Friendly Guide)This resource helps students understand and sketch logarithmic functions step by step, even at a basic or struggling level. It includes clear explanations in simple language to analyze logarithmic graphs: number of branches, increasing or decreasing behavior, inverse functions, and end behavior. Perfect for high sch
11th - 12th
Algebra 2, Calculus, Graphing
CCSS
HSF-LE.A.1
, HSF-LE.A.2
, HSF-LE.B.5
Also included in: bundle of logarithm function sketching graphing
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
f, f', f'' Card Match (using the first and second derivative to graph f)
I use this activity after students have learned the power rule, and as they’re beginning to understand the relationship between f, f', and f''. Students find f' and f'' using the power rule, then use the graphs of f' (the derivative) and f'' (the second derivative) to graph f. They must use the idea that when f' is positive, f is increasing, and when f' is negative, f is decreasing, as well as connecting f'' to intervals of concavity on f. There are 48 total cards per set- 8 functions and th
Not Specific
Calculus, Math
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
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