Virginia Department of Education
Rational Functions: Intercepts, Asymptotes, and Discontinuity
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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Limits of Functions as Undefined X-Values and L'Hopital's Rule
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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Limits, Continuity and Differentiability
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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Easy Worksheet: Limits
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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Limits, Continuity and Local Linearity
In this continuity learning exercise, students compute limits, identify continuity, compute the rate of change, determine the instantaneous rate, and graph functions. This eight-page learning exercise contains fifteen problems.
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Limits and Functions
In this calculus worksheet, students apply the properties of limits as they solve 40 functions with x approaching 1.
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Basic Limits
Learners calculate the limits of functions. In this calculus lesson, high schoolers 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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IUPAC Rules for Naming Compounds with Functional Groups
In this naming compounds with functional groups instructional activity, 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...
Flipped Math
Calculus AB/BC End of Unit 1 Review: Limits and Continuity
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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Calculus AB/BC - Estimating Limit Values from Tables
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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Calculus AB/BC - Determining Limits Using Algebraic Manipulation
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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Calculus AB/BC - Defining Limits and Using Limit Notation
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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Calculus AB/BC - Selecting Procedures for Determining Limits
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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Calculus AB/BC - Confirming Continuity Over an Interval
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...
Flipped Math
Calculus AB/BC - Defining Continuity at a Point
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...
Flipped Math
Calculus AB/BC - Determining Limits Using the Squeeze Theorem
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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Limits and Functions
For 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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Limits and Functions
In this function worksheet, learners 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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Limit of a function
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.
CK-12 Foundation
Slope of a Tangent Line: Slope of the Tangent and Secant Lines
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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Limits of Composition Functions
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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Rational Functions
In this rational functions activity, 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 activity contains 35 multip-step problems.
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Graphing Functions
In this graphing functions instructional activity, 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...
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Exponential Functions
In this exponential functions activity, 9th graders solve and complete 23 various types of problems. First, they simplify each expression. Then, students evaluate the function at different values of x and plot the ordered pairs. in...