Percent Increase and Decrease Quiz - Page 8
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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
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
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)
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
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 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
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