Percent Increase and Decrease Quiz
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Programs & methods
Quiz on Mins, Max, Increasing, Decreasing, and s(t), v(t), and a(t)
1 version, answer included, non calculator
Functions used for min, max, increasing, and decreasing are polynomial, trig, square root, and rational
11th - 12th
Calculus
AP Calculus AB: Quiz Derivative Applications in the Math World
Students will be able to justify where a function is increasing and decreasing, concave up and concave down. They will be able to justify a function’s extrema and inflection points. They will be able to apply the Extreme Value Theorem, the First Derivative Test, the Concavity Test, the Second Derivative Test, and the Mean Value Theorem. Students will be able to accurately sketch a curve given its derivative graph and sketch a curve’s derivative given its graph.
12th
Calculus
AP Calculus AB: Curve Sketching and Particle Motion Quiz
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 apply integrals to particle motion problems.
12th
Calculus
Maths Compound Interest Quiz Game Activity
OverviewThis interactive PowerPoint presentation invites participants to test their knowledge of the Maths topic Compound Interest, including percentage increases and decreases. The quiz comprises 25 thought-provoking questions, each accompanied by four carefully crafted answer options. Participants must draw upon their understanding of Compound Interest and select the correct response. As a convenient feature, the PowerPoint includes a printable team answer sheet on the final slide, enabling y
6th - 11th
Calculus, Money Math, Numbers
AP PRECALCULUS - INCREASING/DECREASING INTERVALS & CONCAVITY
INCREASING/DECREASING INTERVALSINCREASING/DECREASING INTERVALS & CONCAVITY-SCAVENGER HUNT & CONCAVITY- SCAVANGER HUNT INCLUDED16 Station CardsRecording worksheetDIRECTIONSPrint 16 stations and scatter them around the room, on desks, walls, and even the hallway for more adventure.Distribute the recording worksheet to each student/group.Assign a starting problem to each group. Students will solve each problem and write their answers on the recording worksheet. The answer they get will l
10th - 12th
Algebra 2, Calculus, PreCalculus
Increasing and Decreasing Intervals
Bundle of resources for a lesson on Increasing and Decreasing Intervals. Includes the following (note that all resources can be edited, equations may require MathType): PowerPoint presentation for the lesson itselfWord Guided Notes to go with lessonWord handouts for a homework assignment plus 1 to 6 extra practice problem sets, depending on the lesson. Most questions are at AP level of rigor.PowerPoint presentations for full solutions to problem setsThe layout is very straightforward (no visua
9th - 12th
Calculus, Math Test Prep, PreCalculus
Also included in: Applications of Derivatives Unit
Increase and decrease of functions
Topic: Increase and Decrease of Functions Objectives: In this lesson, students will be able to ●determine intervals of increase and decrease of a function ●find the coordinates of critical points using the first derivative. This presentation is ready to be used in class by teachers. You may need to make small changes depending on the details you teach. My PowerPoint presentations give you all what you need to teach in a classroom. Each presentation contains the following slides: Recall Sl
11th - 12th, Higher Education
Calculus, Math
Also included in: Applications of Differentiation
Derivatives and Motion Problems | Kinematics Calculus Worksheet + Answers
Engage your Year 11 ATAR Mathematics Methods students with this comprehensive Applications of Derivatives to Kinematics worksheet. Designed to build confidence in applying calculus to motion problems, this resource includes a wide range of questions from straightforward calculations to applied problem-solving and mixed challenges. What’s Inside: Part A: Fundamental differentiation practice with displacement, velocity, and acceleration. Part B: Real-world applied kinematics problems (cars, ball
6th - 12th, Adult Education, Higher Education
Calculus, Other (Math), Physics
Expansive Sequences and Series Lesson
This is a thorough lesson on sequences and series. Although it does not include all of the convergence tests. (Those are in the next document.) The document focuses on definitions of various terms, types of series, and there properties. It includes 18 example problems. Topics tackled include sequence notation, series notation (summation notation), writing the terms of a sequence given the definition and vice versa, recursively-defined sequences, bounds, increasing/decreasing/non-increasing/non-d
9th - 12th
Calculus, Math, PreCalculus
Increasing Decreasing Rolle's Theorem
Worksheet involving increasing, decreasing functions, Extrema, Mean Value Theorem and Rolle's TheoremThis work by Betty Watson is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License.
Betty Watson
12th, Higher Education
Calculus
Graphing Extrema
Find extrema, increasing, decreasing, concavity, and inflection points. Graphing.
Betty Watson<
a rel="license" href="http://creativecommons.org/licenses/by-nc/3.0/us/">This work by Betty Watson is licensed under a Creative Commons Attribution-Noncommercial 3.0 United States License.
12th, Higher Education
Calculus
Calculus - Differentiation
Differentiation covers; Understand and use the derivative of f(x) as the gradient of the tangent to the graph of y=f(x) at a general point (x,y) including;the gradient of a tangent as a limit;interpretation as a rate of change;sketching the gradient function for a given curvedifferentiation from first principles for small positive integer powers of nDifferentiate x^n , for rational values of n , and related constant multiples, sums and differencesSecond derivative including understanding and usi
11th - 12th, Adult Education, Higher Education
Calculus, Math, PreCalculus
Graph Analysis with the 1st Derivative Practice (Editable)
Problem types: Intervals of increase and decreaseRelative extremaAbsolute extremaDerivative rules needed: Power ruleQuotient ruleChain rule
11th - 12th
Calculus, PreCalculus
Calculus Curve Sketching
Given functions, students are asked to determine intervals of increase and decrease, maximums, minimums, intervals of concavity, and points of inflection.
12th
Calculus
Test for extrema, inc/dec intervals and concavity
Multiple choice test or practice test for finding extrema (maximums and minimums), concavity, and increasing/decreasing intervals.
11th - 12th
Calculus
Calculus PowerPoint Pack
A complete set of PowerPoint files aimed covering the following topics: Introduction to differentiationApplications of differentiation including maxima and minima, increasing and decreasing functions.Further differentaion including product, quotient and chain rulesDifferentiation of parametric equationsIntroduction to integrationApplications of integration including area under a curve and trapezium ruleFurther integration including integration by substitution, integration by parts, volumes of re
11th - 12th
Calculus, Math
Analysis of Functions (PP)
This powerpoint has examples where you would determine the signs of the first and second derivatives, determining the inflection points, and intervals of increasing and decreasing from a given graph.
There is one problem with given conditions and students need to sketch the graph.
All answers are given.
11th - 12th, Higher Education
Calculus
Derivatives Graph Analysis Using Tables: Notes, Ex, Handout & Assign (Editable)
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
Calculus: Extrema and Inflection - Matching Activity
In this pair / small group activity, students apply what they know about extrema and inflection. Students are given a description of four functions' increasing / decreasing behavior and must determine which descriptions* of each function's first and second derivatives must be true.
* Example descriptions on the "answer cards":
f ’’ (x) is negative on (-2, 7)
f ’ (-2) = 0 and f ’’ (-2) < 0
f has a relative min at x = 7
f ’ (x) changes from neg to pos at x = 7
The file includes instruct
10th - 12th
Calculus, Math
Also included in: Calculus AB Resources (discounted bundle)
Analysis of Functions 1 (PP)
This powerpoint introduces the test for concavity using the second derivative.
There are several examples with all steps given.
There is one example to just determine increasing and decreasing (first derivative) and then concavity is added in.
11th - 12th, Higher Education
Calculus
Functions and Their Properties Advanced Math/Pre Calculus Mini Lesson
This SmartBoard mini lesson includes determining if a relation is a function, function notation, implied vs relevant domain, findng the domain and range of a function, continuity and types of discontinuity, increasing and decreasing functions, boundedness, local extrema, even and odd functions, identifying asymptotes,and using limit notation,
10th - 12th, Higher Education
Calculus, PreCalculus
Properties of Functions Practice
This worksheet uses piecewise graphs to practice all of the major features and properties of functions, and includes an answer key. Topics covered are: interval notation, domain, range, increasing, decreasing, constant, extrema, continuity, and types of discontinuities.
9th - 12th
Calculus, PreCalculus
Studying the behavior (variations) of functions
Topic: Studying the Variations of Functions Objectives: In this lesson, students will be able to ● find the domain of different types of functions See all thumbnails the infinity branches and asymptotes of rational functions ●find the critical points and intervals of increase and decrease of different functions ●find the points of inflection and the concavity intervals of different functions ●sketch the graphs of functions This presentation is ready to be used in class by teachers. You ma
11th - 12th, Higher Education
Calculus, Math
Also included in: Applications of Differentiation
Pi Day Trivia Activity: Graph Analysis Using 1st Derivative (editable)
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
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