National Security Agency
Multiple Representations of Limits
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.
Curated OER
Is There a Limit to Which Side You Can Take?
Calculus students 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 functions.
Old Dominion University
Introduction to Calculus
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,...
Curated OER
The AP Calculus Problem Book
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.
Curated OER
Explorations 5: Introduction to Limits
In this limit instructional activity, students find the interval values of given functions. They identify constants, and plot graphs. This three-page instructional activity contains approximately 20 problems.
Whitman College
Calculus
Everything you wanted to know about calculus—and more! The resource is a complete Calculus textbook with explanations, examples, and practice problems.
Whitman College
Calculus - Early Transcendentals
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...
Curated OER
Finding the Limit: Piecewise Functions and Graphs
This pre-calculus learning exercise 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.
Curated OER
Introduction to Limits
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...
Curated OER
Limits at Infinity
In this calculus worksheet, students solve problems dealing with limits at infinity. There are 22 questions with an answer key.
Flipped Math
Calculus AB/BC Mid-Unit 1 Review: Limits
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...
Flipped Math
Calculus AB/BC End of Unit 1 Review: Limits and Continuity
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...
Shodor Education Foundation
InteGreat
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...
Curated OER
Limits at Infinity
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.
Curated OER
Calculus Worksheet: Limits of Functions (1)
In this calculus worksheet, students determine the limit of the given functions. The two page worksheet contains four problems. Answers are provided.
Curated OER
Intuitive Approach to Limits
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...
Flipped Math
Calculus AB/BC Unit 4 Review: Analytical Applications of Differentiation
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.
Curated OER
Limit of a Sequence
Young scholars solve problems using limits in this calculus lesson. 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.
Curated OER
Calculus 30 - Typical Exam Questions
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.
Curated OER
Limits and Trigonometric Equations.
In this calculus activity, students solve functions dealing with limits and the 6 trigonometric values. They find the slope and tangent lines. There are 28 questions.
Curated OER
AP Calculus Practice Exam BC Version: Part B
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.
Curated OER
Continuity and Limits
In this continuity and limits activity, 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 given...
Curated OER
Easy Worksheet: Limits 2
In this limits worksheet, students solve 4 short answer problems. Students identify the limit of a function for a specified value given a graph, equation, or piecewise function.
Curated OER
The Limit Definition of a Definite Integral
In this calculus worksheet, learners calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
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