Curated OER
Is There a Limit to Which Side You Can Take?
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...
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.
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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...
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...
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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...
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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.
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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.
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The Derivative as a Limit
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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Intuitive Approach to Limits
Students view examples of art work that illustrate limits in calculus. Students will lecture on limits and then complete practice drill. This lesson does not include a defined procedure or practice problems. All the art links work but...
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Limits
Learners analyze data algebraically. In this calculus lesson, students determine the limit based on the 3 properties of limits. They identify the domain and range of each function.
Curated OER
AP Calculus Exam Prep
Pupils practice sample questions from the AP Calculus Exam. They solve calculus problems involving bounded regions, integration, derivatives, and limits. They then answer free response and multiple choice questions on the above mentioned...
Curated OER
Limits and Their Properties
Students discuss the following topics of Calculus: The Tangent Line Problem, The Area Problem, and Exercises. They find limits graphically and numerically. Students write a mathematical autobiography, they write their earliest memories...
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Basic Limits
Learners calculate the limits of functions. In this calculus lesson, students find the left and right handed limits of different functions. They use the Ti Navigator to drag the function around as they study limits.
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Application of Delta-Epsilon Definition of the Limit
Students create a Hexaflexagon using a formula. In this calculus lesson, students apply the definition of delta epsilon as it relates to limit to create a shape using creases. They relate the same rule to triangles and investigate angles.
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Limits
Students practice the concept of limits graphically, numerically and algebraically. They participate in an exploration lab, BINGO game and complete a puzzle.
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Delta-Epsilon Definition of a Limit
Twelfth graders define limits and use the delta epsilon definition to solve limits. In this calculus instructional activity, 12th graders investigate the x and y axis using delta epsilon limits. They learn a song to help them remember...
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Review of Limits
Twelfth graders review limits and continuity. In this calculus lesson, 12th graders review the applications and use of limits and continuity for a test. This assignment contains links that are helpful for the review.
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Derivative – Standard Definition
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the derivative....
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Computation of Limits
Young scholars discuss the importance of limits as it relates to calculus. For this calculus lesson, students define limit and memorize the three rules of limits. They work problems to enhance their understanding of how limits function.
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Limits of Trigonometric Functions
Students define limits as it related to trig functions. In this trigonometry lesson, students take the derivatives of trig through specific patterns. They apply the formula for these special functions of sine, cos and tan in real world...
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Computation Of Limits
Students engage in a lesson about the limits of mathematics. They practice computing the limits in a introduction to a course in calculus. Students are guided through sample problems that are provided in the lesson. They demonstrate...
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Delta-Epsilon Definition Of A Limit
Young scholars engage in an investigation of the Delta Epsilon Limit with problems that have some limitations. They practice applying the limit and seeing how they are different from common problems. The lesson includes some sample...
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Limits Of Trigonometric Functions
Students engage in a lesson that is about computing the limits of trigonometric functions. They practice computing the functions of sin, cos, and sin to find the missing values related to triangles. Students also calculate the limits of...
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Application of Delta-Epsilon Definition of the Limit
Students investigate the concept of a Limit and how it is used in a variety of problematic situations. They fold paper to help illustrate how to form equilateral triangles and explain how all the angles are the same. The lesson includes...
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