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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 AP Calculus Midterm 2006

AP Calculus Midterm 2006

Created by
Vanessa Moon
This is the exam I gave my Calculus students in 2006. If I had it to do over again, I would add some more integration questions. Overall, the exam went well. It is broken down into two parts, 2 sections each and is meant to model the AP exam. The timing is based on two 55 minute sessions. Topics include: differentiation implicit differentiation integration Rates of Change Concavity Increasing and Decreasing Functions Curve Sketching Vanessa Moon
Preview of AP Calculus AB Exam Questions & Answers for ALL Unit Tests, Exams,Quizzes,Review

AP Calculus AB Exam Questions & Answers for ALL Unit Tests, Exams,Quizzes,Review

Nearly 400 Practice AP Calculus AB Multiple Choice Questions and Full Answer Explanations! Microsoft Word file is editable. Perfect for Unit Tests, Quizzes, and review activities. Developed by experienced AP Calc teachers. Test bank is organized into the following topics and units: Limits of Functions Asymptotic and Unbounded Behavior Continuity as a Property of Functions Concept of the Derivative Derivative at a Point Derivative as a Function Second Derivatives Applications of Derivatives
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 Product and Quotient Rules Quiz

Product and Quotient Rules Quiz

Created by
Vanessa Moon
This is a 6 question quiz designed to access students ability to apply the product and quotient rules to derivatives. It also includes a derivative of one of the 6 trigonometric functions. This quiz contains no chain rule.
Preview of Exponential Growth and Decay Quiz

Exponential Growth and Decay Quiz

Created by
Vanessa Moon
This short quiz covers some questions on exponential growth and decay. I use this in my AP Calculus class. Vanessa Moon
Preview of Rolle's and Mean Value Theorem Quiz

Rolle's and Mean Value Theorem Quiz

Created by
Vanessa Moon
This is a short quiz asking students to display their knowledge of Rolle's and Mean Value theorems. They are asked to describe the difference between the two, and answer some questions that apply these theorems. 5 questions total. Vanessa Moon
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 Limits Quiz (Calculus)

Limits Quiz (Calculus)

This is a quiz on limits that can be used in a Precalculus or Calculus class.
Preview of Pre-Calculus - Solving Radical Equations and Inequalities - EDITABLE

Pre-Calculus - Solving Radical Equations and Inequalities - EDITABLE

This is a short worksheet/quiz for a Pre-Calculus class that covers solving different types of radical equations and inequalities. Answer sheet also included.
Preview of Cumulative Quiz #1 covering factoring, the unit circle and basic limits

Cumulative Quiz #1 covering factoring, the unit circle and basic limits

Created by
Kandice Tucker
Every Tuesday I give a Cumulative Quiz covering "anything since August". It starts with limits, then derivatives, then applications, etc. This one covers a basic limit, factoring, and the unit circle because it is the first one to get them used to it.
Preview of Pre-Calculus Chapter 1 Quiz - Real Numbers, Relations, etc. EDITABLE

Pre-Calculus Chapter 1 Quiz - Real Numbers, Relations, etc. EDITABLE

This is a brief, editable quiz for a Pre-Calculus Class and covers Real Numbers, Number Relations, Functions, Mathematical Patterns, and Arithmetic Sequences. Answer Key Included.
Preview of AP Calculus Limits Unit Warmups

AP Calculus Limits Unit Warmups

Created by
Monty Works
AP Calculus AB Big Idea 1: Limits and Continuity. There are 10 practice problems for the limits and continuity unit that can be used for warmups, quizzes, or tests. Complete answer key is included.
Preview of Trigonometric Identities Sheet

Trigonometric Identities Sheet

Created by
My Math Muse
This identity sheet lists the major Trigonometric Identities that your students will need in class! This is a word document that you can edit. I place boxes over various identities and make the students fill them in for quizzes!
Preview of Precalculus Final Exam (40 Questions)

Precalculus Final Exam (40 Questions)

Created by
A R Mathematics
Precalculus Final Exam 40 questions Multiple Choice Questions -Open Ended Questions Topics Covered: The formal rules of algebra Functions Graphs Polynomial functions The roots, or zeros, of a polynomial The slope of a straight line Linear functions: The equation of a straight line Synthetic division Roots of polynomials of degree greater than 2 Inverse functions Logarithms Logarithmic and exponential functions Multiplication of sums My Quizzes: 4th Grade Word Problems Quiz (10 Q)Equations and
Preview of Precalculus (Midterm Review)

Precalculus (Midterm Review)

Created by
A R Mathematics
Precalculus (Midterm Review) It covers the first three chapters and the following topics: Functions The x intercept(s), y intercept, and domain of each function below. Symmetry over the x-axis, y-axis, and/or origin. Graphing Functions The average rate of change Roots with multiplicity, and the y-intercept. Rational functions The vertex The factor theorem The Remainder Theorem Polynomial Logarithm and Exponential functions It is 4 pages of questions and 4 pages of answers. My Quizzes: 4th Grade
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 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 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
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