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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
National Security Agency

Multiple Representations of Limits

For Students 11th - 12th Standards
After an introductory activity to demonstrate the theory of a limit, additional activities approach a limit from graphical, numerical, and algebraic methods. The activity looks at the multiple ways of understanding and evaluating a limit. 
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Worksheet
Curated OER

Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus worksheet is short, yet challenging. High schoolers calculate the limit of piecewise functions, rational functions, and graphs as x approaches a number from the positive or negative side. There are four questions.
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Worksheet
Curated OER

Explorations 5: Introduction to Limits

For Students 10th - 12th
In this limit worksheet, students find the interval values of given functions. They identify constants, and plot graphs. This three-page worksheet contains approximately 20 problems.
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Lesson Plan
Curated OER

Worksheet 10 - Limits

For Teachers Higher Ed
In this limits worksheets, students graph tangent lines and determine the slope of a secant line. This one-page worksheet contains six multi-step problems.
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Lesson Plan
Curated OER

Worksheet 4: Graphs and One-Sided Limits

For Teachers 12th - Higher Ed
In this math worksheet, students answer 6 questions regarding functions, graphs, one-sided limits, intercepts, vehicle speed and wheel rotation.
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Worksheet
Curated OER

Quiz: Logarithmic Functions

For Students 10th - 12th
Explore logarithmic functions, and have pupils solve 10 different problems that include various logarithmic functions. First, they find the domain of a given function and then the range. They also consider a graph that has a limited...
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Lesson Plan
Curated OER

Worksheet 26 - Functions & Logarithms

For Teachers Higher Ed
In this function and logarithms worksheet, students find the domain and range of functions, use the properties of logs to solve equations. This one-page worksheet contains nine multi-step problems.
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Lesson Plan
Curated OER

Worksheet 5: Property Limits and the Squeeze Theorem

For Teachers 12th - Higher Ed
In this math worksheet, students answer 6 questions regarding given limits in a table of data, properties of limits and the Squeeze Theorem.
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Lesson Plan
Curated OER

Worksheet 2: Graphs, Functions and Derivatives

For Teachers 12th - Higher Ed
In this math worksheet, students answer 7 questions having to do with graphing derivatives of functions, rectilinear motion, speed and distance.
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Worksheet
Curated OER

Math 155 - Fall 2002 Worksheet 3: Continuity

For Students 11th - 12th
In this continuity worksheet, students solve 5 short answer problems about continuity.  Students determine where functions are continuous and find the limits of functions at points of discontinuity.
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Worksheet
Curated OER

Open Sets, Limits, Continuity

For Students Higher Ed
In this open sets instructional activity, students give characteristics of an open set under given conditions. They graph functions and define limits. This two-page instructional activity contains 3 multi-step problems with explanations.
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Assessment
Concord Consortium

Rational and Not So Rational Functions

For Students 11th - 12th Standards
Do not cross the line while graphing. Provided with several coordinate axes along with asymptotes, pupils determine two functions that will fit the given restrictions. Scholars then determine other geometrical relationships of asymptotes...
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Worksheet
Curated OER

Discussion Sheet 9: Functions and Limits

For Students Higher Ed
In this function and limits worksheet, students identify a one-to-one correspondence and identify an inverse function. They compute limits of functions. This two-page worksheet contains five multi-step problems.
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Worksheet
Curated OER

Exponential Functions

For Students 9th
In this exponential functions worksheet, 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...
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Lesson Plan
Curated OER

Function Problems

For Teachers 11th - Higher Ed
For this function worksheet, young scholars use given functions to determine the rate at which people enter and exit an amusement park. They compute the number of dollars collected at a specified time and predict when the number of...
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Lesson Plan
Curated OER

Worksheet 4: Limits

For Teachers Higher Ed
In this limits worksheet, students evaluate limits and graph given expressions. They classify graphs as removable discontinuities, jump discontinuities, or asymptotes. this two-page worksheet contains seven multi-step problems.
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Lesson Plan
Curated OER

Worksheet - Limits

For Teachers Higher Ed
In this limit worksheet, students give examples of described sequences and find the limits. They compute numbers in the Fibonacci sequence. This one-page worksheet contains six multi-step problems.
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Lesson Plan
Curated OER

Worksheet 9 - Functions

For Teachers Higher Ed
In this function worksheet, students explain continuous and noncontinuous function and graph derivatives. This two-page worksheet contains seven multi-step problems.
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Worksheet
Curated OER

Quiz: Exponential Functions

For Students 10th - 12th
With this quiz, high schoolers solve 10 different problems that include various exponential functions. First, they determine where the graph of a point intersects at what origin. Then, they determine the domain and range. In addition,...
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Lesson Plan
Virginia Department of Education

Functions: Domain, Range, End Behavior, Increasing or Decreasing

For Students 9th - 12th Standards
Examine key features of various functions through exploration. A comprehensive lesson has learners describe the domain, range, end behavior and increasing/decreasing intervals of various functions. Function types include linear,...
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Lesson Plan
1
1
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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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 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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