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AP Calculus: The First and Second Derivative Tests Complete Lesson
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
10th - 12th, Higher Education
Calculus, Math
Also included in:Â AP Calculus AB Full Curriculum
AP Calculus: Curve Sketching Complete Lesson
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
10th - 12th, Higher Education
Calculus, Math
Also included in:Â AP Calculus AB Full Curriculum
AP Calculus: Graphing the Derivative Complete Lesson
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
9th - 12th, Higher Education
Calculus, Math
Also included in:Â AP Calculus: Derivatives Unit Bundle
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
11th - 12th, Higher Education
Calculus, Math, Math Test Prep
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
11th - 12th, Higher Education
Calculus, Math, Math Test Prep
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-
10th - 12th, Higher Education
Calculus, Math, Other (Math)
Also included in:Â Calculus NO-Prep & Digital Activities Bundle
AP Calculus: Limits and Continuity Unit Bundle
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
9th - 12th, Higher Education
Calculus, PreCalculus
AP Calculus: Areas and Volumes Unit Bundle
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
10th - 12th, Higher Education
Calculus, Other (Math)
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
10th - 12th
Calculus, Math, PreCalculus
Also included in:Â Calculus NO-Prep & Digital Activities Bundle
AP Calculus: Infinite Limits and Limits at Infinity Complete Lesson
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
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in:Â AP Calculus: Limits and Continuity Unit Bundle
AP Calculus: Related Rates Complete Lesson
This lesson guides students through the process of solving related rates problems. Students are shown a procedure to follow and then the procedure is applied to several related rates problems. This lesson is appropriate for both AP Calculus AB and BC. Detailed answer keys are included. The topics covered include: -Recognizing Rates -Differentiating Equations to Relate Rates -Procedure for Solving Related Rates Problems -Inflating Balloon -Expanding Oil Slick -Ladder Sliding Down Wall -Water Dra
10th - 12th, Higher Education
Calculus, Math
Also included in:Â AP Calculus AB Full Curriculum
AP Calculus: Indefinite Integrals Complete Lesson
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
10th - 12th, Higher Education
Calculus, Math
Also included in:Â AP Calculus AB Full Curriculum
AP Calculus: Volumes by Cylindrical Shells Complete Lesson
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
10th - 12th, Higher Education
Calculus, Other (Math)
Also included in:Â AP Calculus: Areas and Volumes Unit Bundle
AP Calculus: Integration by Parts Complete Lesson
This lesson introduces students to the integration technique known as "integration by parts." Students learn to use integration by parts with both definite and indefinite integrals. There are many examples of integration by parts contained in the lesson, as well as the homework assignment. This lesson is appropriate for AP Calculus BC. Detailed answer keys are included. The topics covered include: -Formulating Integration by Parts -Using Integration by Parts -Practice with Integration by Par
10th - 12th, Higher Education
Calculus, Math
AP Calculus: Finding Limits Algebraically Complete Lesson
This lesson emphasizes an algebraic approach to limits. Students learn how to evaluate limits by substitution. They also learn how to handle limits of rational functions and limits of radical functions. Finally, students learn how to apply the limit laws to find limits from a graph or from a formula.
This lesson is appropriate for both AP Calculus AB and BC.
Detailed answer keys are included.
The topics covered include:
-Limit Laws
-Identifying the Limit Laws
-Limits of Rational Functions
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in:Â AP Calculus: Limits and Continuity Unit Bundle
AP Calculus: Functions Unit Bundle
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
10th - 12th, Higher Education
Calculus, PreCalculus
AP Calculus: Differential Equations Unit Bundle (AB content only)
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
10th - 12th, Higher Education
Calculus, PreCalculus
AP Calculus: Techniques of Differentiation Unit Bundle
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
9th - 12th, Higher Education
Calculus, Math
AP Calculus: Optimization Problems Complete Lesson
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
10th - 12th, Higher Education
Calculus, PreCalculus
Also included in:Â AP Calculus AB Full Curriculum
Multivariable Calculus: Vectors Unit Bundle
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-
10th - 12th, Higher Education
Calculus, Math
Multivariable Calculus: The Geometry of Space Unit Bundle
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
10th - 12th, Higher Education
Calculus, Math
AP Calculus: Polynomial Functions Complete Lesson
This lesson is a review of the basic properties of polynomial functions with special attention given to those properties that are most relevant for calculus.
This can either be used as part of a summer assignment to help students get ready for calculus or it can be used as a review at the beginning of the school year. It could also be used as part of an "Introduction to Calculus" unit at the end of a precalculus course.
This lesson is appropriate for both AP Calculus AB and BC, as well as col
10th - 12th, Higher Education
Calculus, Other (Math), PreCalculus
Also included in:Â AP Calculus: Functions Unit Bundle
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