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
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 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
Calc Ch 3.3a Increasing and Decreasing Functions
Calculus, notes, powerpoint, power point, lesson, Calculus AB, Calculus BC, AP Calc, AP Calculus, Infinite Limits, Increasing and Decreasing Functions
11th - 12th
Calculus
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
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
Unit 5 Calculus Analytical Applications of Derivatives Lesson & Worksheets
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 A
9th - 12th
Calculus
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
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
Differentiation
Apply differentiation to gradients, tangents and normals, increasing
and decreasing functions and rates of change (including connected
rates of change);locate stationary points, and use information about stationary points in sketching graphs (the ability to distinguish between maximum points and minimum points is required, but identification of points of inflexion is not included).
The unit includes:
1) The Limit & Differentiation
2) The Derivative and Tangent Line Problem
3) Basic Differenti
11th - 12th, Higher Education
Calculus, Math, 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
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