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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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Interactive
CK-12 Foundation

Limiting Factors to Population Growth: Graphing Population Growth

For Students 7th - 8th Standards
If any of the limiting factors in an environment change, both animal and plant populations also change. The video explains two different models of growth and the impact of limiting factors. It highlights the carrying capacity of an...
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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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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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Worksheet
Curated OER

Limiting Reagent Practice Problems

For Students 10th - Higher Ed
In this limiting reagents worksheet, students solve 10 problems. They calculate limiting reagents, they calculate percent yield of particular compounds and they determine how much of products can be produced based on the limiting reagents.
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Worksheet
Curated OER

Limiting Reactant-Theoretical Yield and Percent Yield

For Students 10th - Higher Ed
For this limiting reactant worksheet, students solve four problems to identify the theoretical yield and percent yield given an equation. They also calculate the limiting reactant.
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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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Worksheet
K12 Reader

Competing for Resources

For Students 2nd - 3rd Standards
Young biologists examine the concept of scarce resources with a reading comprehension passage. After finishing the paragraphs, learners turn to the questions to demonstrate what they have learned about what is beneficial and what is...
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Handout
Curated OER

Study Guide for the Advanced Placement Calculus AB Examination

For Teachers 11th - 12th Standards
Is this going to be on the test? A calculus study guide provides an organized list of important topics and a few examples with answers. The topics include elementary functions, limits, differential calculus, and integral calculus,...
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Interactive3:28
Scholastic

Study Jams! Population Growth

For Students 6th - 9th Standards
Along came a spider, who sat down beside her. She screamed, but RJ wouldn't smash it because spiders are a limiting factor for other insects in an ecosystem. In this video, other common limiting factors for populations are listed....
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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 worksheet, 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...
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Worksheet
Curated OER

Limits and the Indeterminate Forms

For Students Higher Ed
In this limits worksheet, 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
For 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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