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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 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 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 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 Precalculus Summer Work Packet | Guided Notes, Review, Practice & Answer Keys

AP Precalculus Summer Work Packet | Guided Notes, Review, Practice & Answer Keys

Created by
STEMifiED
Prepare students for success in AP Precalculus and avoid the summer slump with this comprehensive, skill-building Summer Work Packet designed to review essential Algebra 1, Algebra 2, functions, radicals, complex numbers, quadratics, exponentials, logarithms, and trigonometry concepts before the school year begins. This resource was intentionally designed with a guided-notes format so students can work independently while still receiving structured mathematical support. Each topic includes step
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 Multiplication and division 3 PowerPoint Presentation distance learning

Multiplication and division 3 PowerPoint Presentation distance learning

Created by
Nikole T
This is a beautiful and informative 65 slide PowerPoint presentation.This is a super fun and interactive slide show. This product includes 3 PowerPoint Presentation. The zip file contains: PowerPoint Presentation№1:Multiplication and division-6(21slides) PowerPoint Presentation№2:Multiplication and division-7(23slides) PowerPoint Presentation№3:Multiplication and division-8(21slides) This product includes : №1* Multiplication and Division- 6- PowerPoint presentation №2*Multiplication and div
Preview of Function Compositions Unit | Full 5E Lesson Kit | Algebra 2 | AP Precalculus

Function Compositions Unit | Full 5E Lesson Kit | Algebra 2 | AP Precalculus

Created by
STEMifiED
Transform Function Operations and Composition into a Student-Friendly, Engaging Unit!Help students master function operations, function composition, decomposition, domains, modeling, and relations with this complete 10-lesson 5E instructional unit designed for Algebra 2 and AP Precalculus classrooms.This ready-to-teach lesson kit provides everything you need to build conceptual understanding and procedural fluency while saving hours of planning time. Students move from combining functions algebr
Preview of Bill Tracker Spreadsheet for Google Sheets | Monthly Bill Calendar | Subscriptio

Bill Tracker Spreadsheet for Google Sheets | Monthly Bill Calendar | Subscriptio

Created by
All4Education
Bill Tracker Spreadsheet for Google Sheets | Monthly Bill Calendar | Subscription & Expense Tracker | Budget Planner | Bill Payment Organizer Never miss a payment again with this easy-to-use Bill Tracker Spreadsheet for Google Sheets 💰📅 Designed to help you manage bills, subscriptions, expenses, debts, and payment due dates, this spreadsheet automatically organizes your financial obligations into a convenient bill calendar so you can stay on top of your finances all year long. Perfect for ind
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 AP Calculus: Optimization Problems Complete Lesson

AP Calculus: Optimization Problems Complete Lesson

Created by
Grab a Pencil
This lesson introduces students to what are known as "optimization problems." First, students learn to tackle these problems in five simple steps. Then, the problem-solving procedure is applied to a number of different types of optimization problems. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Procedure for Solving Optimization Problems -Finding Two Numbers -Finding the Area of a Field -Finding the Cost of Materials
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