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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 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 Sudoku Challenge Puzzle Book | 200 Progressive SUDOKU 9x9 Puzzles & Solutions

Sudoku Challenge Puzzle Book | 200 Progressive SUDOKU 9x9 Puzzles & Solutions

Created by
ClassJoy
This 200-page 9x9 Sudoku Puzzle Book includes 200 unique Sudoku puzzles carefully organized into four progressive difficulty levels, making it perfect for students, homeschool families, teachers, puzzle enthusiasts, and adults who enjoy brain-training activities.Designed for both classroom and personal use, this workbook gradually increases in challenge, allowing learners to develop confidence before moving on to more advanced puzzles.What's Included:✔ 200 Printable 9x9 Sudoku Puzzles✔ 50 Simple
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
Preview of Techniques of Integration Review Game | Jeopardy-Style | Calculus Unit | No Prep

Techniques of Integration Review Game | Jeopardy-Style | Calculus Unit | No Prep

Reviewing techniques of integration can feel repetitive and draining for students, but this Jeopardy-style integral calculus unit review turns that experience into an engaging, competitive game your class will actually look forward to. This no prep integrals game covers all the major integration methods in a format that keeps students focused and motivated from start to finish. 📋 WHAT'S INCLUDED37-slide PowerPoint Jeopardy-style gamePrintable PDF version included30 definite integral questions a
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: Techniques of Differentiation Unit Bundle

AP Calculus: Techniques of Differentiation Unit Bundle

Created by
Grab a Pencil
This bundle includes seven lessons which make up Unit 4: Techniques of Differentiation. 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: - The Product and Quotient Rules- Derivatives of Trigonometric Functions- The Chain Rule- I
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-
Preview of Multivariable Calculus: The Geometry of Space Unit Bundle

Multivariable Calculus: The Geometry of Space Unit Bundle

Created by
Grab a Pencil
This bundle includes five lessons which make up Unit 1: The Geometry of Space. This particular unit does not make heavy use of calculus (though it does make an appearance), so much of it could be used in high school geometry. 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: - Working in Three Dimensions- Spheres a
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