Curated OER
Finding the Limit: Piecewise Functions and Graphs
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.
Concord Consortium
Rational and Not So Rational Functions
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...
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...
National Security Agency
Multiple Representations of Limits
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.
Curated OER
Rational Functions
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.
Curated OER
Sudoku Puzzle with Limits
In 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.
Curated OER
Worksheet 10 - Limits
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.
Curated OER
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.
West Contra Costa Unified School District
Derivative – Standard Definition
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....
Curated OER
Worksheet 9: Trig Functions
For this math worksheet, learners are given 7 problems in which they write expressions for trig functions, compute limits and graph functions.
Curated OER
Limit Estimation
In this pre-calculus worksheet, students estimate the limit of trig functions and rational functions as x approaches a number. There are 4 questions.
Curated OER
College Level Study Guide
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...
Curated OER
Understanding Limits
For 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.
Curated OER
Rational Expressions Test with a Calculator
In this rational expression activity, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This activity is designed as a test to be completed with a calculator.
EngageNY
Irrational Exponents—What are 2^√2 and 2^π?
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...
Curated OER
Regents High School Examination: Living Environment 2010
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...
Curated OER
Regents High School Exam: Living Environment 2008
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...
Curated OER
Regents High School Examination: Living Environment 2005
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...
Curated OER
Regents High School Examination: Living Environment 2003
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....
EngageNY
Integer Exponents
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...
Noyce Foundation
Percent Cards
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.
Curated OER
Soduko
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.
Curated OER
Complex Analysis: Improper Integral
In this improper integral activity, students evaluate improper integrals and its limits. They evaluate improper integrals using contour integration and define the Cauchy Principal Value. This two-page activity contains explanations and...
Inside Mathematics
Rugs
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,...