Percent Increase and Decrease Quiz
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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
Applications of Derivates Test and Quiz and Review Pack
Quizzes, Review, and Tests for optimization, 1st derivative test, 2nd derivative test, increasing and decreasing intervals, extrema, critical points, concavity, points of inflection, and the mean value theorem -- Over 30 pages!
11th - 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
Analytical Applications of Differentiation (AP Calculus AB - Unit 4)
Analytical Applications of Differentiation Calculus Unit Bundle:This is a bundle with guided notes, PowerPoints aligned with the guided notes, additional practice (homework), mid-unit quiz, unit test, unit review, and unit pacing guide for Analytical Applications of Differentiation (Unit 4). This unit contains 6 lessons. Lesson 4.1: Using the Mean Value TheoremLesson 4.2: Extrema on an IntervalLesson 4.3: Increasing and Decreasing Intervals and The First Derivative TestLesson 4.4: Concavity and
10th - 12th
Calculus, Math
Also included in: AP Calculus AB Semester 1 Bundle (Units 1 -5)
AP Calculus Quarter 3 - Powerpoint Lessons, Notes & Worksheets
This is the 3rd QUARTER of the entire full year of powerpoint presentation lessons, notes, worksheets and google slides activities. Some things have answer keys and other don't. AP Calculus Course Curriculum Content:Unit 5 Analytical Applications of Derivatives5.1 Using the Mean Value Theorem 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points 5.3 Determining Intervals on Which a Function is Increasing or Decreasing 5.4 Using the First Derivative Test to
9th - 12th
Calculus
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 Intervals Activity
Calculus Increasing decreasing Maximum and Minimum Activity.
11th - 12th
Calculus
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
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
AP Calculus AB: Unit Exam Derivative Applications
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.
Students will be able to use th
12th
Calculus
AP Calculus AB: Derivative Applications in the Math World Notes
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
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
Unit 5 Calculus Analytical Applications of Derivatives
Whole Unit on Analytical Applications of Derivatives. Powerpoint presentations, notes and worksheets. Some things have answer keys. Unit 5 Analytical Applications of Derivatives5.1 Using the Mean Value Theorem 5.2 Extreme Value Theorem, Global Versus Local Extrema, and Critical Points 5.3 Determining Intervals on Which a Function is Increasing or Decreasing 5.4 Using the First Derivative Test to Determine Relative (Local) Extrema 5.5 Using the Candidates Test to Determine Ab
9th - 12th
Calculus
Parent Function Card Sort
Card sort activity for students to practice characteristics of the parent functions. domain, range, increasing, decreasing, boundedness, and extrema
10th - 12th
Algebra 2, Calculus, PreCalculus
AP Calculus AB: Curve Sketching and Particle Motion Notes
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
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)
First And Second Derivative Tests - Create Your Own Matching Activity (Word)
In this activity students will be creating four different functions in which they will find their derivatives, determine all critical points, extrema, intervals of increase and decrease and intervals of concavity. Students will also be asked to find a graph of the original function. The activity can be downloaded as a Word document or a Google Slide (see alternate listing) and can easily be used as an online activity, or, can be printed, collected and used as a classroom matching game using all
11th - 12th, Higher Education
Calculus, Graphing, Math
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
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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