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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 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 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 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 AP Calculus: Exponential Growth and Decay Complete Lesson

AP Calculus: Exponential Growth and Decay Complete Lesson

Created by
Grab a Pencil
This lesson looks at applications of separable differential equations. Standard growth and decay problems are introduced, along with other related models, such as Newton's Law of Cooling and continuously compounded interest. This lesson is appropriate for both AP Calculus AB and BC, as well as college calculus. Detailed answer keys are included. The topics covered include: -Population Growth -Doubling Time -Continuously Compounded Interest -Radioactive Decay -Half-Life -Newton's Law of Cooling
Preview of AP Calculus: Maximum and Minimum Values Complete Lesson

AP Calculus: Maximum and Minimum Values Complete Lesson

Created by
Grab a Pencil
This lesson introduces the concepts of absolute maxima and minima, as well as relative maxima and minima. Students learn to identify extrema graphically. Then, students learn about critical numbers and they use them to find extrema on a closed interval. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Absolute Maximum and Minimum -Relative Maximum and Minimum -The Extreme Value Theorem -Fermat's Theorem -Critical Numbers
Preview of AP Calculus: Linear Approximation and Differentials Complete Lesson

AP Calculus: Linear Approximation and Differentials Complete Lesson

Created by
Grab a Pencil
This lesson introduces the related concepts of linear approximation and differentials. Students learn to find the linearization of a function and then use it to approximate values. Then, students learn to use differentials to find relative error and percentage error. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -The Linearization of a Function -Finding the Linearization of a Function -Linear Approximations -Practice w
Preview of Addition and Subtraction Math workbook for preschool and kindergarten

Addition and Subtraction Math workbook for preschool and kindergarten

Created by
Shareprintables
Addition and Subtraction introduces students to adding and subtracting numbers up to 10. Topics include: Understanding addition & subtractionAdding and subtracting with objectsTaking away and counting backNumber bondsEquationsWord problemsThe book is intended for students already familiar with counting and the numbers 1-10. The book emphasizes learning by doing. Students with limited reading ability should be able to attempt the exercises. Note that, as the exercises are simple and we’d like to
Preview of Integration |Definite & Indefinite integral PowerPoint Lesson | High School Math

Integration |Definite & Indefinite integral PowerPoint Lesson | High School Math

Are you teaching your High School students about Calculus - Definite & Indefinite integrals - properties of integrals? Plenty of examples and application exercises are included. You can also easily convert this to a Google Slides lesson by dragging it into your Google Drive. What is included?✦ 17 total slides for notes, examples and applications. ✦ All steps are animated to allow the teacher to explain them gradually. Throughout the Lesson, students will be introduced to the following:✦ Inde
Preview of Riemann Sums, Area Under the Curve, the Definite Integral, and Integral Calculus

Riemann Sums, Area Under the Curve, the Definite Integral, and Integral Calculus

Created by
David Lewis
Package includes: “Riemann Sums, Area Under the Curve, the Definite Integral, and Integral Calculus (Calculus 1: The Lead-up to Integral Calculus, with an Emphasis on Using Technology)” uses a single relatable example, with visuals for several different techniques, to show the calculation of area under the graph of a function, leading up to the definite integral, the Fundamental Theorem of Calculus, and integral calculus. Includes tips on how to use technology, particularly graphing calculators,
Preview of Finding Limits Graphically and Numerically

Finding Limits Graphically and Numerically

Created by
Vanessa Moon
This is a notes outline designed to accompany the Larson textbook, but could be modified to fit any teachers needs. It covers limits, both graphically and numerically. Vanessa Moon
Preview of Curve Sketching - Calculus Quick Review (Handout and Study Aid)

Curve Sketching - Calculus Quick Review (Handout and Study Aid)

Curve Sketching - Calculus Quick Review (Handout and Study Aid) All the important facts that you need to know compiled in an easy-to-understand compact format handout. Perfect document to accompany any classroom instruction session. Use it as a handout for quick review purposes.
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: 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
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
Preview of Multivariable Calculus: Vectors Unit Bundle

Multivariable Calculus: Vectors Unit Bundle

Created by
Grab a Pencil
This bundle includes five lessons which make up Unit 2: Vectors. This particular unit does not make heavy use of calculus, so much of it could be used in high school geometry or precalculus. 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 Vectors- Unit Vectors- The Dot Product- The Cross Product-
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