# Limits and Continuity Teacher Resources

Find Limits and Continuity lesson plans and worksheets
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#### AP Calculus AB Unit 1: Limits and Continuity

For Students 11th - 12th
Flip your classroom and teach AP Calculus remotely! Unit 1 of the course focuses on limits and continuity. Informative videos introduce each lesson's topic, and the resource packets include worksheets, practice solutions, and two...
AP Test Prep
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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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#### 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...
Worksheet
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#### Limits and Continuity

For Students 11th - 12th
In this calculus worksheet, learners work problems containing functions, limits and dealing with continuity. They evaluate functions and use the limits theorem to help find the correct answer. There are 26 questions.
AP Test Prep11:45
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Flipped Math

#### Calculus AB/BC - Confirming Continuity Over an Interval

For Students 10th - 12th
Confirm one's expertise with confirming continuity over an interval. Pupils first review how to determine the domain of a function taking denominators, roots, and logarithms into account. They then connect this concept to continuity in...
AP Test Prep7:55
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Flipped Math

#### Calculus AB/BC - Infinite Limits and Vertical Asymptotes

For Students 10th - 12th
Infinite limits just got infinitely more interesting. The 15th of 18 installments in Unit 1 - Limits and Continuity looks at infinite limits and vertical asymptotes of rational functions. Scholars review how to determine the locations of...
AP Test Prep13:27
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Flipped Math

#### Calculus AB/BC - Limits at Infinity and Horizontal Asymptotes

For Students 10th - 12th
Learning about end behavior means it's close to the end of the unit. The 16th of 18 lessons in Unit 1 - Limits and Continuity has scholars watch a video to learn how limits at infinity can be used to determine horizontal asymptotes and...
AP Test Prep11:14
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Flipped Math

#### Calculus AB/BC - Estimating Limit Values from Tables

For Students 10th - 12th
There's value in using a video to analyze a table of values. Pupils learn how to find the limit of a function from a table of values in the fourth of 18 lessons in Unit 1 - Limits and Continuity. An engaging video gives a tutorial on how...
AP Test Prep11:03
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Flipped Math

#### Calculus AB/BC - Determining Limits Using Algebraic Manipulation

For Students 10th - 12th
Sometimes a little manipulation goes a long way. The sixth of 18 videos in Unit 1 - Limits and Continuity shows viewers how to use algebraic manipulation to determine limits. They first use substitution and factoring, then apply special...
AP Test Prep7:18
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Flipped Math

#### Calculus AB/BC - Defining Limits and Using Limit Notation

For Students 10th - 12th
There's no limit to what one can learn about limits. The second of 18 videos in Unit 1 - Limits and Continuity focuses on understanding the basic concept of a limit. Pupils learn the definition of limits and see how to determine a limit...
AP Test Prep11:15
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Flipped Math

#### Calculus AB/BC - Exploring Types of Discontinuities

For Students 10th - 12th
Continue one's studies by studying discontinuities. The 11th of 18 lessons in Unit 1 - Limits and Continuity first describes the different types of discontinuities. By watching a video, pupils learn to algebraically determine the...
AP Test Prep11:46
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Flipped Math

#### Calculus AB/BC - Determining Limits Using the Squeeze Theorem

For Students 10th - 12th
Sandwich the video in between lessons. Scholars learn about the Squeeze Theorem, or Sandwich Theorem, in the eighth of 18 videos in Unit 1 - Limits and Continuity. After seeing a few examples, they look at different situations to...
Worksheet
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#### 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...
Lesson Plan
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#### Test on Limits and Continuity

For Teachers 11th - 12th
Students review concepts of logarithms for their test. In this calculus lesson, students review inverse function, limits, derivatives and solving logs equations. They review the chain rule and domain and range of inverse logs.
Instructional Video1:37
Brightstorm

#### Limits: A Numerical Approach

For Students 11th - Higher Ed
The sky's the limit — or is it? Viewers learn how to determine limits using a numerical approach through an example in the first installment of a 9-part video series on limits and continuity. The video also introduces formal mathematical...
Worksheet
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#### Three Calculus Overview Problems

For Students 11th - Higher Ed
For this calculus overview worksheet, students: find the equation of a tangent line, curve sketch, and find limits.  Students should have covered continuity as well.
Instructional Video7:39

#### Introduction to Limits

For Students 11th - Higher Ed
Sal starts an explanation of limits by looking at a basic example of a discontinuous function and takes a more intuitive point of view before looking at a formal mathematical definition in later videos.  He starts by introducing the...
Lesson Plan
Curated OER

#### Review of Limits

For Teachers 12th
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.
Instructional Video11:32

#### Introduction to Limits (HD)

For Students 11th - Higher Ed
Sal begins his explanation of limits with a few basic examples and takes a more intuitive point of view before looking at a formal mathematical definition in later videos. He starts by introducing the notation for limits and describes...
Instructional Video11:28
Krista King Math

#### The Precise Definition of the Limit Explained!

For Students 11th - Higher Ed
It's all Greek to me. Young mathematicians learn how to use the epsilon-delta definition of a limit with a video that shows how to find the relationship between epsilon and delta for a given limit equation.
Instructional Video6:04
Krista King Math

#### How to Prove that the Limit Does Not Exist

For Students 11th - Higher Ed
Can you prove a negative? In watching the video, individuals learn how to prove that the limit of a function does not exist at a point. The video covers the quintessential example of the limit of f(x) = abs(x)/x as x approaches 0.
Instructional Video4:54
Krista King Math

#### Intermediate Value Theorem to Prove a Root in an Interval

For Students 11th - Higher Ed
Viewers os this short video learn how to prove that a root exists in a given interval without having to determine the actual value of the root. Applying the Intermediate Value Theorem is most helpful in this situation.