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Worksheet
Curated OER

Finding the Limit: Piecewise Functions and Graphs

For Students 9th - Higher Ed
This pre-calculus learning exercise 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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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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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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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

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

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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Lesson Plan
Curated OER

Worksheet 10 - Limits

For Teachers Higher Ed
For 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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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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Lesson Plan
West Contra Costa Unified School District

Derivative – Standard Definition

For Teachers 11th - Higher Ed
Making a clear connection to algebra concepts helps learners understand the definition of a derivative. The lesson begins with looking at limits of simple linear and rational functions, and leads to the definition of the derivative....
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Lesson Plan
Curated OER

Worksheet 9: Trig Functions

For Teachers 12th - Higher Ed
For this math worksheet, students are given 7 problems in which they write expressions for trig functions, compute limits and graph functions.
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Worksheet
Curated OER

Limit Estimation

For Students 9th - 12th
In this pre-calculus learning exercise, students estimate the limit of trig functions and rational functions as x approaches a number. There are 4 questions.
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Lesson Plan
Curated OER

College Level Study Guide

For Teachers 11th - Higher Ed
In this study guide worksheet, students examine and complete questions that are similar to the college Accuplacer College Level Math test. This worksheet includes, but is not limited to, factoring and expanding polynomials, simplifying...
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Worksheet
Curated OER

Understanding Limits

For Students Higher Ed
In this understanding limits, students determine the convergence of given sequences. They use properties of limits to evaluate functions. This two-page worksheet contains examples and explanations, as well as eleven problems.
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Worksheet
Curated OER

Rational Expressions Test with a Calculator

For Students 11th - Higher Ed
In this rational expression worksheet, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor.  This worksheet is designed as a test to be completed with a calculator. 
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Lesson Plan
EngageNY

Irrational Exponents—What are 2^√2 and 2^π?

For Teachers 9th - 12th Standards
Extend the concept of exponents to irrational numbers. In the fifth installment of a 35-part module, individuals use calculators and rational exponents to estimate the values of 2^(sqrt(2)) and 2^(pi). The final goal is to show that the...
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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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Lesson Plan
Curated OER

Regents High School Exam: Living Environment 2008

For Teachers 9th - 12th
Tne New York Regents High School Examinations are comprehensive and include various styles of questions, includingmultiple choice and the analysis of graphs. This particular version, the 2008 Living Environment exam surveys a variety of...
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Lesson Plan
Curated OER

Regents High School Examination: Living Environment 2005

For Teachers 9th - 12th
The 2005 version of the Regents High School Examination in the area of ecology is as comprehensive as previous years' exams. It consists of 40 multiple choice questions on everything from the structure of DNA to the interactions within...
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Lesson Plan
Curated OER

Regents High School Examination: Living Environment 2003

For Teachers 9th - 12th
The living environment, from the interior of a cell to the complex relationships among populations, are queried in this final examination. Learners look at air pollution maps, diagrams of cells, population graphs, and drawing of cells....
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Lesson Plan
EngageNY

Integer Exponents

For Teachers 9th - 12th Standards
Fold, fold, and fold some more. In the first installment of a 35-part module, young mathematicians fold a piece of paper in half until it can not be folded any more. They use the results of this activity to develop functions for the area...
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Assessment
Noyce Foundation

Percent Cards

For Teachers 6th Standards
Explore different representations of numbers. Scholars convert between fractions, decimals, and percents, and then use these conversions to plot the values on a horizontal number line.
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Worksheet
Curated OER

Soduko

For Students 11th - 12th
In this calculus worksheet, student solve problems by taking the derivative of the function as x approaches a specific limit. They evaluate trig functions using the properties of trig. There are 26 questions with an answer key.
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Worksheet
Curated OER

Complex Analysis: Improper Integral

For Students Higher Ed
In this improper integral instructional activity, students evaluate improper integrals and its limits. They evaluate improper integrals using contour integration and define the Cauchy Principal Value. This two-page instructional...
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Assessment
Inside Mathematics

Rugs

For Teachers 8th Standards
The class braids irrational numbers, Pythagoras, and perimeter together. The mini-assessment requires scholars to use irrational numbers and the Pythagorean Theorem to find perimeters of rugs. The rugs are rectangular, triangular,...