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Lesson Plan
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Virginia Department of Education

Rational Functions: Intercepts, Asymptotes, and Discontinuity

For Students 10th - 12th Standards
Discover different patterns by making connections between a rational function and its graph. An engaging lesson asks scholars to explore the behavior of different rational functions. Groups discover a connection between the function and...
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Lesson Plan
Curated OER

Basic Limits

For Teachers 9th - 12th Standards
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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Worksheet
Curated OER

Limits of Functions as Undefined X-Values and L'Hopital's Rule

For Students Higher Ed
In this limits worksheet, students apply L'Hopital's rule to solve four limits problems. They solve a total of eleven short answer problems. The final seven problems ask students to find the asymptotes of functions.
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Worksheet
Curated OER

Limits, Continuity and Differentiability

For Students Higher Ed
In this limit worksheet, students answer true or false statements concerning functions, limits and differentiability. They evaluate limits and explore rules for working with limits and continuity. This worksheet contains three...
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Worksheet
Curated OER

Easy Worksheet: Limits

For Students 11th - 12th
In this limits worksheet, students solve 4 short answer problems. Students find the limits of trig, linear, root, and rational functions as x approaches a specified value.
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Worksheet
Curated OER

Limits, Continuity and Local Linearity

For Students Higher Ed
For this continuity worksheet, students compute limits, identify continuity, compute the rate of change, determine the instantaneous rate, and graph functions. This eight-page worksheet contains fifteen problems.
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Worksheet
Curated OER

Limits and Functions

For Students 11th - 12th
In this calculus worksheet, students apply the properties of limits as they solve 40 functions with x approaching 1.
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Worksheet
Curated OER

IUPAC Rules for Naming Compounds with Functional Groups

For Students 9th - Higher Ed
In this naming compounds with functional groups worksheet, students read about using the IUPAC rules for naming these compounds and they draw structures for 3 -carbon, 2-carbon and 4-carbon molecules and give the names for each.
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AP Test Prep
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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 Prep11:14
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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 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 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 Prep11:12
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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 Prep11:45
1
1
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...
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AP Test Prep9:20
1
1
Flipped Math

Calculus AB/BC - Defining Continuity at a Point

For Students 10th - 12th
Learning about continuity is a continuous process. An educational video first shows individuals the definition of continuity at a point. They see several examples on the topic and then investigate how to identify the types of...
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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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Worksheet
Curated OER

Limits and Functions

For Students 12th - Higher Ed
In this function worksheet, students determine the limits and draw graphs of given functions. They identify continuous and noncontinuous functions. Students solve mixture problems and prove or disprove given limits. This three-page...
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Worksheet
Curated OER

Limits and Functions

For Students 12th - Higher Ed
For this function worksheet, students compute the limits of given functions, they use differentials to estimate quantities, they compute the change in functional value and determine an equation for a line tangent to a graph. This...
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Worksheet
Curated OER

Limit of a function

For Students 12th
In this calculus worksheet, 12th graders determine the limit of a function at the indicate value.  The one page worksheet contains eighteen problems.  Answers are not included. 
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Interactive
CK-12 Foundation

Slope of a Tangent Line: Slope of the Tangent and Secant Lines

For Students 11th - Higher Ed
Learn to find the slope through a single point. The interactive provides a visualization of how to find the slope of a tangent line. With the aid of the visualization, pupils see the definition of the derivative in action. Class members...
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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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Worksheet
Curated OER

Rational Functions

For Students 9th - 11th
In this rational functions worksheet, students identify rational functions.  They find the domain and range of each function.  Students find the x and y-intercepts of functions.  This two-page worksheet contains 35 multip-step problems.
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Worksheet
Curated OER

Graphing Functions

For Students 11th - Higher Ed
In this graphing functions learning exercise, students solve and complete 25 various types of problems. First, they evaluate each of the limits presented. Then, students graph each given function, graphing both the equation and then the...
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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 plan, students investigate the derivative as a limit through the use of the TI-89.

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