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Worksheet
Curated OER

Three Calculus Overview Problems

For Students 11th - Higher Ed
In this calculus overview worksheet, learners: find the equation of a tangent line, curve sketch, and find limits.  Students should have covered continuity as well.
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Worksheet
Curated OER

Six Continuity Problems

For Students 12th - Higher Ed
In this continuity worksheet, students examine six functions for continuity.  Students find values to make a peice-wise function continuous, state domains, use limits, and the Intermediate Value Theorem.
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Organizer
Curated OER

A.P. Calculus Test Chapter 2 Limits and Continuity

For Students 11th - 12th
For this limits and continuity test, students solve 8 multiple choice questions. They define the words limits and continuity. Students determine the limits of 8 functions. Students find the value for a constant in one function, and prove...
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Worksheet
Curated OER

Review of Limits and Continuity

For Students 11th - 12th
In this calculus worksheet, students complete a chart of values using limits and continuity. They use the test of continuity to solve most of the problems and match their answers to the correct answers. There are 18 matching questions...
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Unknown Type
Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Limits

For Students 9th - 10th
Hotmath provides 25 practice problems that deal with limits and graphs of limits. Each of the practice problems include a step-by-step guide.
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Unit Plan
CK-12 Foundation

Ck 12: Properties of Limits

For Students 10th - 12th
Limit rules for sums, differences, products, quotients, powers, and roots of simpler functions.
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Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Formal Definition of a Limit

For Students 9th - 10th
This Math Forum site is an inquiry by a student about the definition of a limit with a response by a professor. If you are confused by the student's inquiry don't worry, take a look at the doctor's response which explains what a limit is...
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Activity
Texas Instruments

Texas Instruments: Trying to Find a Best Fit: Heuristic Approach

For Teachers 9th - 10th
In this activity, students can use geometry to determine the optimal location for a distribution warehouse of a department store chain.
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Activity
Texas Instruments

Texas Instruments: Population and Limits

For Teachers 9th - 10th
In this activity, students will consider a model of a population living in an unfavorable habitat. Given an initial population students will describe the population as timepases.
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Activity
Texas Instruments

Texas Instruments: Taking It to the Limit

For Teachers 9th - 10th
Students explore the concept of limits, both finite and infinite, using the graphing calculator. Each rule has a set of examples and a section for the students to try other examples to create a basis of understanding of each of the rules.
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Activity
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Limits at Infinity

For Students 9th - 10th
This site from the Northeast Parallel Architectures Center of Syracuse University is a great site for studying the limits at infinity. This page contains six links to information on the subject. Just click on the one you want information...
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Activity
Ministry of Education and Universities of the Region of Murcia (Spain)

Ministerio De Educacion Y Ciencia: Continuidad De Funciones

For Students 9th - 10th Standards
In this interactive unit you will be able to understand the concept of continuity, determine whether a function is continuous from its graph and to distinguish the different types of discontinuities both graphically and analytical.
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Activity
Texas Instruments

Texas Instruments: Limits and Continuity

For Teachers 9th - 10th
These questions address the topics of limits, continuity, and discontinuity.
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Graphic
Math Medics

S.o.s. Math: Limits and Infinity

For Students 9th - 10th
Graphs a limit with vertical asymtopes and shows the limits when x approaches 0 and 0 from left and right. Contains many examples.
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Graphic
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Infinite Limits

For Students 9th - 10th
This Northeast Parallel Architectures Center at Syracuse University site provides a brief description and examples of infinite limits of functions at infinity.
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Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Limits and Continuity: Algebraic Approach

For Students 9th - 10th
The resource investigates limits and continuity using an algebraic approach. Topics examined are closed-form functions and evaluating a limit using simplification. Students learn about the calculus concepts through notes and examples.
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Graphic
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Topic Summaries: Limits and Continuity

For Students 9th - 10th
The topic summary outlines limits and continuity. Some topics reviewed are limits numerically, limits geometrically, limits algebraically, and continuous functions. The resource consists of definitions, notes, and examples.
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Activity
Paul Dawkins

Paul's Online Notes: Calculus I: Limits

For Students 9th - 10th
Learners explore limits. Topics investigated are continuity, limits at infinity, limit properties, tangent lines, and rates of change. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
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Unit Plan
CK-12 Foundation

Ck 12: Analysis: Definition of a Limit

For Students 11th - 12th
[Free Registration/Login may be required to access all resource tools.] In this lesson students are given an introduction to the concept of limit and the origins of Calculus. Students examine guided notes, review guided practice, watch...
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Activity
Analyze Math

Analyze Math: Introduction to Limits in Calculus

For Students 9th - 10th
The tutorial investigates numerical and graphical approaches to calculating the limit of a function. Examples with detailed solutions are included.
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Unit Plan
Shmoop University

Shmoop: Multiplying and Dividing Limits Examples

For Students 10th - 12th
Examples of multiplication and division of limits with the solutions.
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Unit Plan
Shmoop University

Shmoop: Adding and Subtracting Limits Examples

For Students 10th - 12th
Examples of addition and subtraction with limits including solutions to the example problems.
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Handout
Paul Dawkins

Paul's Online Notes: Limits at Infinity Part 1

For Students 10th - 12th
Online notes with examples and solutions.
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Unknown Type
Paul Dawkins

Paul's Online Notes: The Definition of the Limit: Practice Problems

For Students 9th - 10th
Practice exercise provides problems that review limits including how to use the definition to compute a limit.