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Preview of Unit 5 Calculus Analytical Applications of Derivatives Lesson & Worksheets

Unit 5 Calculus Analytical Applications of Derivatives Lesson & Worksheets

Created by
Hybrid Learning
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
Preview of Calculus - Differentiation

Calculus - Differentiation

Created by
Al Robinson
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
Preview of Differentiation

Differentiation

Created by
hong wang
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
Preview of AP Calculus: The First and Second Derivative Tests Complete Lesson

AP Calculus: The First and Second Derivative Tests Complete Lesson

Created by
Grab a Pencil
This lesson introduces the First and Second Derivative Tests in the context of polynomials. (The lesson on Curve Sketching uses these tests to examine other types of functions.) The lesson begins with a review of increasing and decreasing functions as well as critical numbers. Then, the First Derivative Test is introduced, along with an application. After that, concavity and inflection points are introduced. Finally, the Second Derivative Test is shown, along with an example. This lesson is
Preview of AP Calculus: Curve Sketching Complete Lesson

AP Calculus: Curve Sketching Complete Lesson

Created by
Grab a Pencil
In this lesson, students gain practice in using calculus to understand the features of a graph. Students learn to identify the domain, intercepts, and symmetry of a function. They also practice using calculus to find asymptotes, intervals of increase and decrease, intervals of concavity, local extrema, and points of inflection. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Features of a Function -Rational Function -Tr
Preview of AP Calculus: Graphing the Derivative Complete Lesson

AP Calculus: Graphing the Derivative Complete Lesson

Created by
Grab a Pencil
This lesson helps students learn how to graph the derivative of a function, given a graph of the function. Students also learn how to interpret the graph of the derivative and they make the connection between the derivative of the position function and the velocity function. Increasing and decreasing functions are also introduced. Finally, students learn how to estimate derivatives from a table of values and then use those values to create a graph of the derivative. This lesson is appropriate
Preview of Warm-ups: Analytical Applications of Derivatives

Warm-ups: Analytical Applications of Derivatives

How do I provide a meaningful activity for my students at the beginning of class while I deal with my classroom responsibilities (roll, helping students who were absent, etc.)? These warms-ups are the answer! The questions are designed to take students five to ten minutes to solve. Then the step-by-step solution is easy for students to follow as they check their work. A PDF containing all the problems is included for students to use. Concepts included:· Extrema on an interval. · The Mean Valu
Preview of Calculus BC notes, hw, warm ups and practice quizzes

Calculus BC notes, hw, warm ups and practice quizzes

In this download you will find everything you need to teach all the topics of Calculus BC for the year. Topics stretch from review of prior math to polar functions. PDF and word files are included for all packets. Word files are editable. Each of 10 chapters has notes, homework, warmups and practice quizzes. There are powerpoints of each set of notes to teach with, and they are editable. Filled in notes are included, as well as homework work and answers. The warm ups also have a powerpoint fil
Preview of Calculus AB notes, hw, warm ups and practice quizzes

Calculus AB notes, hw, warm ups and practice quizzes

In this download you will find everything you need to teach all the topics of Calculus AB for the year. Topics stretch from review of prior math to volumes of rotation. PDF and word files are included for all packets. Word files are editable. Each of 7 chapters has notes, homework, warmups and practice quizzes. There are powerpoints of each set of notes to teach with, and they are editable. Filled in notes are included, as well as homework work and answers. The warm ups also have a powerpoi
Preview of Calculus Related Rates NO Prep Lesson, Worksheet, & Key

Calculus Related Rates NO Prep Lesson, Worksheet, & Key

Calculus Related Rates: NO Prep Needed! This lesson contains everything you need to teach related rates. The editable and animated PowerPoint goes through all of the steps and tips involved when solving related rates problems and uses the popular DREDS strategy (Diagram, Label Rates, Write Equation(s), Differentiate, and Substitute). It contains 5 complete examples with step by step solutions, one of which is presented for the students to work out on their own. I put that slide up, give them 5-
Preview of Warm-ups: Integration and Accumulation of Change

Warm-ups: Integration and Accumulation of Change

How do I provide a meaningful activity for my students at the beginning of class while I deal with my classroom responsibilities (roll, helping students who were absent, etc.)? These warms-ups are the answer! The questions are designed to take students five to ten minutes to solve. Then the step-by-step solution is easy for students to follow as they check their work. A PDF containing all the problems is included for students to use. These formative assessments cover all the AP Standards from
Preview of Differentiation: Definition & Fundamental Properties (AP Calculus AB - Unit 2)

Differentiation: Definition & Fundamental Properties (AP Calculus AB - Unit 2)

Created by
Math Lion
Differentiation: Definition and Fundamental Properties 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 Differentiation: Definition and Fundamental Properties Calculus (Unit 2). This unit contains 5 lessons. Lesson 2.1: Defining Average and Instantaneous Rates of ChangeLesson 2.2: Defining the Derivative of a FunctionLesson 2.3: The Power RuleLesson
Preview of AP Calculus: Limits and Continuity Unit Bundle

AP Calculus: Limits and Continuity Unit Bundle

Created by
Grab a Pencil
This bundle includes seven lessons which make up Unit 2: Limits and Continuity. These lessons are appropriate for AP Calculus AB, AP Calculus BC, or college calculus. Each lesson includes a PowerPoint presentation along with guided notes, a Do Now, an Exit Ticket, and a homework assignment. All components come with complete and detailed answer keys. You can also purchase the lessons separately: - Secant Lines and Tangent Lines- Finding Limits Graphically- Finding Limits Algebraically- Infinit
Preview of Addition and Subtraction One-Step Word Problems Worksheets and Task Cards

Addition and Subtraction One-Step Word Problems Worksheets and Task Cards

This resource pack is relates to addition and subtraction one-step word problems. Learning objectives: To solve one-step addition and subtraction word problems.This product includes a 5 Slide PowerPoint Presentation on hints of how to tackle real life word problems. I would read aloud a word problem card displayed on the PowerPoint first and then elicit from the children how they would go about solving the problem. The pack also includes:- 3 sets of differentiated addition word problems workshe
Preview of AP Calculus: Areas and Volumes Unit Bundle

AP Calculus: Areas and Volumes Unit Bundle

Created by
Grab a Pencil
This bundle includes five lessons which make up Unit 8: Areas and Volumes. These lessons are appropriate for AP Calculus AB, AP Calculus BC, or college calculus. Each lesson includes a PowerPoint presentation along with guided notes, a Do Now, an Exit Ticket, and a homework assignment. All components come with complete and detailed answer keys. You can also purchase the lessons separately: - Areas Between Curves- Volumes by Disks- Volumes by Washers- Volumes by Cross Sections- Volumes by Cyli
Preview of One-sided Limits & Limits at Infinity: PPT Lesson, Guided Notes & Worksheet

One-sided Limits & Limits at Infinity: PPT Lesson, Guided Notes & Worksheet

Introduce limits to your Precalculus or Calculus students with this fully editable 18-slide PowerPoint lesson, 3-page guided notes packet, and 3-page worksheet. The guided notes will help organize your students notes and help them understand the key characteristics and properties of limits. The guided notes follow the order of the PowerPoint exactly. The PowerPoint lesson also has two practice slides intended to be left up while you assess your students level of comprehension for both one-sided
Preview of AP Calculus: Infinite Limits and Limits at Infinity Complete Lesson

AP Calculus: Infinite Limits and Limits at Infinity Complete Lesson

Created by
Grab a Pencil
This lesson introduces two kinds of limits: infinite limits and limits at infinity. Both types are looked at graphically as well as algebraically. Also, each type is connected to its corresponding asymptote. Thus the student learns a new language for describing horizontal and vertical asymptotes. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Definition of an Infinite Limit -Recognizing Infinite Limits -Evaluating
Preview of DIF 26 Stationary Points e and trig - Animated

DIF 26 Stationary Points e and trig - Animated

PowerPoint presentation on finding the stationary points for the exponential and trig functions. All grey “hides” are animated so you’re able to click through the examples and explain the ideas as you go. I use the TI Inspire Non-CAS calculator so all calculator instructions are for those.
Preview of Binary and Towers of Hanoi Math Project showcase

Binary and Towers of Hanoi Math Project showcase

Created by
Blue Milk
This short presentation shows how Binary code can be used to solve the Towers of Hanoi Math challenge in the least amount of moves. this resource is easy to use, just put it into slideshow and take your time clicking and watching as all the magic happens. This resource complements the Towers of Hanoi Project for Series and Sequences in my store and contains a presentation to show the moves required with binary for up to 5 different discs. For this remember that when the colored number changes
Preview of AP Calculus: Indefinite Integrals Complete Lesson

AP Calculus: Indefinite Integrals Complete Lesson

Created by
Grab a Pencil
This lesson introduces the notation for indefinite integrals. Students learn some techniques for evaluating indefinite integrals. Initial-value problems are introduced and motion problems are used as an example. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Antiderivatives and Indefinite Integrals -Comparing Definite and Indefinite Integrals -Common Indefinite Integral Formulas -Intervals of Validity -Strategies for E
Preview of AP Calculus: Volumes by Cylindrical Shells Complete Lesson

AP Calculus: Volumes by Cylindrical Shells Complete Lesson

Created by
Grab a Pencil
This lesson covers the techniques needed to find the volume of a solid of revolution using cylindrical shells. Rotations about both the x- and y-axes are considered, as well as rotations about a line. Volumes using disks and washers are covered in a separate lesson. This lesson is appropriate for both AP Calculus AB and BC, as well as college calculus. Note that while finding volumes using cylindrical shells is not explicitly tested on the AP exam, students can earn full credit by using the
Preview of Volume with Know Cross-Sections (Part 3) - Washers

Volume with Know Cross-Sections (Part 3) - Washers

Created by
Tim Serino
This is part 3 of 3 of the volume series. This PowerPoint presentation introduces volume of solids rotated about the x-axis with cross-sections that are washers. Part 1 dealt with base solids and Part 2 showed rotations using disks.
Preview of AP Calculus: Functions Unit Bundle

AP Calculus: Functions Unit Bundle

Created by
Grab a Pencil
This bundle includes five lessons which make up Unit 1: Functions. These lessons are appropriate for AP Calculus AB, AP Calculus BC, or college calculus. Each lesson includes a PowerPoint presentation along with guided notes, a Do Now, an Exit Ticket, and a homework assignment. All components come with complete and detailed answer keys. You can also purchase the lessons separately: - Properties of Functions- Polynomial Functions- Rational Functions- Exponential and Logarithmic Functions- Trig
Preview of AP Calculus: Differential Equations Unit Bundle (AB content only)

AP Calculus: Differential Equations Unit Bundle (AB content only)

Created by
Grab a Pencil
This bundle includes four lessons which make up Unit 7: Differential Equations. These lessons are appropriate for AP Calculus AB, AP Calculus BC, or college calculus. Each lesson includes a PowerPoint presentation along with guided notes, a Do Now, an Exit Ticket, and a homework assignment. All components come with complete and detailed answer keys. You can also purchase the lessons separately: - Introduction to Differential Equations- Slope Fields- Separation of Variables- Exponential Growth
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