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Worksheet
Curated OER

Continuous Function

For Students Higher Ed
In this continuous function worksheet, students identify continuous functions, and use limits to determine the horizontal asymptotes. This two-page worksheet contains three problems.
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Worksheet
Curated OER

Challenge Sheet 3: Average Value of a Function

For Students 12th - Higher Ed
In this average value worksheet, students determine the average value of functions, sketch graphs of continuous intervals, evaluate integrals, find the average value of a function and convert limits to a definite integral. This one-page...
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Worksheet
Curated OER

Discussion Sheet 1: Domain & Range of a Function

For Students Higher Ed
In this domain and range worksheet, students solve inequalities, determine the domain and range for a function, identify the limits, and sketch graphs of a function. This two-page worksheet contains nine multi-step problems.
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Worksheet
Curated OER

Worksheet 2: Evaluating Functions

For Students 10th - Higher Ed
In this function learning exercise, students evaluate sums, estimate the area of the region between graphs, estimate the volume of a hemisphere, and use subintervals and the limit definition integrals to evaluate functions. This two page...
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Interactive
Curated OER

The Limit Definition of a Definite Integral

For Students 11th - 12th
In this calculus worksheet, learners calculate the derivative and integral of different functions. They use interval to mark the beginning and end of their calculations. There are 15 questions with an answer key.
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Lesson Plan
Curated OER

Introduction to Limits

For Teachers 12th
Twelfth graders problem solve limit/function value situations. They solve the problems using a graphing calculator, which allows them to see the function's graph, and infer the function value and limit from the graph.
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eBook
Rice University

Precalculus

For Students 11th - Higher Ed Standards
Take a step beyond Algebra 2. Learners use the eBook to learn concepts from the typical Precalculus course. Content starts off with a short review of functions in general and moves on to the basic functions, finishing up with more...
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Lesson Plan
Curated OER

Rachel's Life is in a Hole

For Teachers 7th - 12th
Explore how lack of access to water impacts peoples' lives in poor countries. Through text reading and discussion, middle schoolers are presented with the story of a young girl who lives and functions with limited water resources. They...
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Worksheet
Curated OER

Calculus 30 - Typical Exam Questions

For Students 11th - 12th
In this limits and functions worksheet, students solve 30 short answer questions about calculus  Students find limits, domain, range, tangent lines, derivatives, and composition functions.
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Lesson Plan
Howard Hughes Medical Institute

Population Dynamics

For Teachers 10th - 12th Standards
Will human population growth always be exponential, or will we find a limiting factor we can't avoid? Young scientists learn about both exponential and logistic growth models in various animal populations. They use case studies to...
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Lesson Plan
Curated OER

Algebra II: Exponential Functions

For Teachers 9th - 12th
Students investigate, describe, and predict the effects of parameter changes on the graphs of exponential functions; describe limitations on the domains and ranges of these functions; and examine asymptotic behavior.
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Interactive
Curated OER

Differentiation of Trigonometry Functions

For Students 9th - 11th
For this trigonometry worksheet, students differentiate the different trigonometric identities. They derive the sine, cosine, tangent and inverses of these trig identities. There are 18 questions with an answer key.
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Worksheet
Curated OER

Finding the Limit of Composite functions

For Students 9th - 10th
In this pre-calculus learning exercise, students calculate the composite of two functions as well as perform basic operations in order to determine the limit as x approaches a given number. There are 4 questions.
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Lesson Plan
Curated OER

Functional Analysis

For Teachers 9th - 10th
Students perform functional analysis. For this pre-calculus lesson, students recognize the different elements of a function, graph a function and analyze it. They synthesize composites of other basic functions.
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Lesson Plan
Curated OER

Domains

For Teachers 9th - 12th Standards
Your algebra learners work to address the order of operations applied to an expression's input variable and the limitations that may be created because of it. This simple task of a few very well-chosen exercises is elegant in it's way of...
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Worksheet
Curated OER

Doubles

For Students 1st - 2nd
These dragons work as math machines as scholars multiply numbers using given functions, which remain the same for these: double it. Using an example as their guide, learners double three whole numbers, none of which exceed 11, for each...
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App
Texas Instruments

TI-Nspire™ CAS

For Students 8th - Higher Ed Standards
When it comes to rating educational calculators, this calculator is always near the top of this list. Now it's available as an app. There is a lot of calculator power wrapped up in this app. Not only is this a fully functioning...
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Lesson Plan
Curated OER

Regents High School Examination: Living Environment 2010

For Teachers 9th - 12th
This exam touches upon every topic within the typical first year biology course.. A broad variety of question styles give high schoolers every opportunity to show what they know. Why start from scratch when a comprehensive final exam is...
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Worksheet
Curated OER

Infinite Limits and Horizontal Asymptotes

For Students Higher Ed
In this infinite limit worksheet, students compute horizontal and vertical asymptotes. They use trigonometric functions to find the limits of functions and compare results. This two-page worksheet contains examples and explanations and...
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Worksheet
Curated OER

Multivariable Calculus: Limits of Multivariable Functions

For Students Higher Ed
In this multivariable function worksheet, students find the limits of a function, identify the domain, and explore continuous functions. This two page worksheet contains explanations, definitions, and examples. There are approximately...
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Organizer
Curated OER

A.P. Calculus Test Chapter 2 Limits and Continuity

For Students 11th - 12th
In this limits and continuity test, students solve 8 multiple choice questions. They define the words limits and continuity. Students determine the limits of 8 functions. Students find the value for a constant in one function, and prove...
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Lesson Plan
Illustrative Mathematics

Baseball Cards

For Teachers 7th - 9th Standards
Here is a resource that demonstrates growth and the initial state of an equation. In this case, your class will be looking at baseball collections. How many baseball cards did the collector start out with, and how many were added or...
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Lesson Plan
Curated OER

Matter and Motion

For Teachers 11th - Higher Ed
In this matter and motion worksheet, students solve 4 different problems that relate to determining the matter and motion of a function problem. First, they find the limit of a as n to infinity and then, determine whether each series...
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Worksheet
Curated OER

The Limiting Behavior of Selected Functions

For Students 12th - Higher Ed
In this limiting behavior of equations worksheet, students use the Klien and Nishima formula to find the limit for large X which is the ratio of energy carried by a photon compared to the rest mass energy of an electron.

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