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Lesson Plan
Curated OER

Is There a Limit to Which Side You Can Take?

For Teachers 9th - 12th Standards
Calculus young scholars find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise...
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Lesson Plan
National Security Agency

Multiple Representations of Limits

For Students 11th - 12th Standards
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit. 
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eBook
Old Dominion University

Introduction to Calculus

For Teachers 11th - Higher Ed Standards
This heady calculus text covers the subjects of differential and integral calculus with rigorous detail, culminating in a chapter of physics and engineering applications. A particular emphasis on classic proof meshes with modern graphs,...
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Workbook
Curated OER

The AP Calculus Problem Book

For Students 11th - Higher Ed Standards
Are you always looking for extra problem resources to incorporate in your classes?  A set of problems for a full AP Calculus course may be all you need! Each unit has a full set of questions and a sample test.
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Worksheet
Curated OER

Explorations 5: Introduction to Limits

For Students 10th - 12th
In this limit worksheet, students find the interval values of given functions. They identify constants, and plot graphs. This three-page worksheet contains approximately 20 problems.
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eBook
Whitman College

Calculus

For Students 11th - Higher Ed Standards
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems. 
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eBook
Whitman College

Calculus - Early Transcendentals

For Teachers 9th - Higher Ed Standards
This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...
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Worksheet
Curated OER

Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
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Lesson Plan
Curated OER

Introduction to Limits

For Teachers 9th - 12th
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
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Worksheet
Curated OER

Limits at Infinity

For Students 11th - 12th
For this calculus worksheet, students solve problems dealing with limits at infinity. There are 22 questions with an answer key.
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC Mid-Unit 1 Review: Limits

For Students 10th - 12th
Limit the amount one forgets about limits. A mid-unit review lesson has individuals complete a worksheet of problems on limits. They go over the meaning of limits, evaluate limits algebraically, use graphs and tables to find limits, and...
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC End of Unit 1 Review: Limits and Continuity

For Students 10th - 12th
Test the limits of one's knowledge on continuity. The last of 18 installments in Unit 1 - Limits and Continuity is an end-of-unit review learning exercise. Individuals identify and classify discontinuities, investigate continuity at a...
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Lesson Plan
Shodor Education Foundation

InteGreat

For Teachers 9th - Higher Ed Standards
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and midpoint...
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Worksheet
Curated OER

Calculus Worksheet: Limits of Functions (1)

For Students 11th - 12th
In this calculus worksheet, students determine the limit of the given functions.  The two page worksheet contains four problems.  Answers are provided. 
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Lesson Plan
Curated OER

Intuitive Approach to Limits

For Teachers 11th - Higher Ed
Students identify and comprehend the concept of limit in mathematics. They also view artistic works illustrating limits by M. C. Escher and apply techniques of one-sided limits to graphs of relations. Finally, students compute limits...
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AP Test Prep
1
1
Flipped Math

Calculus AB/BC Unit 4 Review: Analytical Applications of Differentiation

For Students 10th - 12th
It's nice to know that there are actual real-world uses of derivatives. Scholars review their knowledge of the applications of derivatives from the unit. They work on a set of practice problems to test their understanding.
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Worksheet
Curated OER

Calculus 30 - Typical Exam Questions

For Students 11th - 12th
In this limits and functions worksheet, students solve 30 short answer questions about calculus  Students find limits, domain, range, tangent lines, derivatives, and composition functions.
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Lesson Plan
Curated OER

Limits at Infinity

For Teachers 9th - 12th Standards
Young mathematicians solve problems involving limits in this calculus lesson. They identify the value of x as the limit approaches positive and negative infinity. Learners study the magnitude as x increases in value.
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Lesson Plan
Curated OER

Limit of a Sequence

For Teachers 10th - 12th Standards
Young scholars solve problems using limits in this calculus lesson plan. They calculate the solution to a problem by substituting in positive integers and relate the sequence output as it relates to the limit of a function.
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Worksheet
Curated OER

Limits and Trigonometric Equations.

For Students 10th - 12th
For this calculus worksheet, students solve functions dealing with limits and the 6 trigonometric values. They find the slope and tangent lines. There are 28 questions. 
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Worksheet
Curated OER

AP Calculus Practice Exam BC Version: Part B

For Students 11th - 12th
In this calculus worksheet, students solve 17 multiple choice problems. Students find limits, summations, and derivatives of functions. Students find the area of an enclosed region between two curves.
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Lesson Plan
Curated OER

The Derivative as a Limit

For Teachers 9th - 12th Standards
Students investigate derivatives. In this calculus lesson, students investigate the derivative as a limit through the use of the TI-89.
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Worksheet
Curated OER

Continuity and Limits

For Students 11th - 12th
In this continuity and limits learning exercise, students solve and complete 4 different types of problems. First, they determine which of the limits shown exist and then, evaluate them. They also find which functions are continuous at a...
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Worksheet
Curated OER

Easy Worksheet: Limits 2

For Students 11th - 12th
In this limits learning exercise, students solve 4 short answer problems. Students identify the limit of a function for a specified value given a graph, equation, or piecewise function.

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