Quizzes, Review, and Tests for optimization, 1st derivative test, 2nd derivative test, increasinganddecreasing intervals, extrema, critical points, concavity, points of inflection, and the mean value theorem -- Over 30 pages!
OverviewThis interactive PowerPoint presentation invites participants to test their knowledge of the Maths topic Compound Interest, including percentage increasesanddecreases. 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
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: IncreasingandDecreasing Intervals and The First Derivative TestLesson 4.4: Concavity and
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
Bundle of resources for a lesson on IncreasingandDecreasing 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
Topic: IncreaseandDecrease of Functions Objectives: In this lesson, students will be able to ●determine intervals of increaseanddecrease 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
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
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
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
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
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
Apply differentiation to gradients, tangents and normals, increasinganddecreasing 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
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
Topics: Equations of Tangent and Normal Rolle's Theorem The Mean value Theorem for Differentiation IncreaseandDecrease of Functions The Extreme Values Concavity Intervals and Points of Inflection Optimization Asymptotes and Infinity Branches Studying the Behaviour of Functions 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
These PowerPoint notes (81 pages) are for applications of derivatives. The main topics of the notes revolve around increasing/decreasing functions, local minimums and maximums, concavity, points of inflection, kinematics, and optimization.
A complete set of PowerPoint files aimed covering the following topics: Introduction to differentiationApplications of differentiation including maxima and minima, increasinganddecreasing 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
This powerpoint has examples where you would determine the signs of the first and second derivatives, determining the inflection points, and intervals of increasinganddecreasing from a given graph.
There is one problem with given conditions and students need to sketch the graph.
All answers are given.
These PowerPoint notes (81 pages) and accompanying problem set are for applications of derivatives. The main topics of the notes revolve around increasing/decreasing functions, local minimums and maximums, concavity, points of inflection, kinematics, and optimization.
9th - 12th
Calculus, Math
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