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Interactive
CK-12 Foundation

Infinite Limit Type: Asymptotes and End Behavior Question

For Students 11th - Higher Ed Standards
There are an infinite number of reasons to use the resource. Scholars drag vertical and horizontal lines to the graph of a rational function to identify all asymptotes. They investigate the connection between asymptotes and limits to...
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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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AP Test Prep7:18
1
1
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...
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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 Prep9:50
1
1
Flipped Math

Calculus AB/BC - Estimating Limit Values from Graphs

For Students 10th - 12th
A one-sided limit need not be half as interesting as a two-sided limit. Pupils learn the notation for one-sided limits and how to determine the value of a one-sided limit from graphs by watching a short video. They then see how to create...
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Interactive
CK-12 Foundation

Concept of Limit

For Students 11th - Higher Ed
There's no limit to how useful the resource can be. Scholars use a slider interactive to investigate limits from graphs. They take both one-sided and two-sided limits into consideration.
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Interactive
CK-12 Foundation

Concept of Limit: Limit Notation

For Students 11th - Higher Ed
Limits to infinity are simple to find if you can compare numerators and denominators. Users of the interactive drag expressions to match with their limit as x approaches infinity. A set of challenge questions assesses their groupings.
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AP Test Prep11:14
1
1
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...
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AP Test Prep9:18
1
1
Flipped Math

Calculus AB/BC - Determining Limits Using Algebraic Properties

For Students 10th - 12th
Taking calculus doesn't mean one can forget all about algebra. Viewers of an educational video learn how to determine limits using algebraic properties. They apply basic operations to calculate limits and use substitution to find one-...
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AP Test Prep11:03
1
1
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...
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AP Test Prep5:08
1
1
Flipped Math

Calculus AB/BC - Connecting Multiple Representations of Limits

For Students 10th - 12th
It's time to put it all together. Viewers of an informative video learn to connect multiple representations of limits. Given algebraic, tabular, and graphical representations of a linear piecewise function, they determine whether a limit...
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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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AP Test Prep7:55
1
1
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...
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AP Test Prep11:12
1
1
Flipped Math

Calculus AB/BC - Selecting Procedures for Determining Limits

For Students 10th - 12th
Knowing more strategies is always a plus. Pupils watch an engaging video to learn additional ways to algebraically determine the limit of a function at a specified value. The video covers multiplying radical expressions by their...
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AP Test Prep13:27
1
1
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...
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AP Test Prep11:46
1
1
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...
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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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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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Lesson Plan
Curated OER

How Many Penguins Does It Take? Studying Carrying Capacity and Limiting Factors

For Teachers 4th - 12th
How does a population's habitat determine the size of that population? Teach learners about carrying capacity and limiting factors with an engaging roleplay activity. Class members pose as a colony of penguins who must gather food amidst...
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Worksheet
Curated OER

Limits and the Indeterminate Forms

For Students Higher Ed
In this limits instructional activity, students use L'Hospital's Rule to solve two short answer problems. They solve fourteen short answer limits problems.
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Worksheet
Curated OER

Sudoku Puzzle with Limits

For Students 11th - 12th
In this limit problems worksheet, students solve 28 limits problems.  Students find the limits of various functions as x approaches a certain number.  Students solve a sudoku puzzle with their answers.
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Worksheet
Curated OER

Limits of Composition Functions

For Students 11th - 12th
In this limits worksheet, students find the limits of 9 composition functions.  Students evaluate limits for each function at a specific value or as it approaches any value.
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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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