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...
Curated OER
Is There a Limit to Which Side You Can Take?
Calculus young scholars find the limit of piecewise functions at a value. They find the limit of piecewise functions as x approaches a given value. They find the limit of linear, quadratic, exponential, and trigonometric piecewise...
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
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.
EngageNY
Equivalent Rational Expressions
Rational expressions are just fancy fractions! Pupils apply fractions concepts to rational expressions. They find equivalent expressions by simplifying rational expressions using factoring. They include limits to the domain of the...
Curated OER
Linear Piecewise Functions
Students explore the concept of piecewise functions. In this piecewise functions lesson plan, students graph piecewise functions by hand and find the domain and range. Students make tables of values given a piecewise function. Students...
Curated OER
Approaching Limits
With the assistance of their Ti-84/Ti-83 Plus calculators, students develop a foundation for the limiting process as well as estimate limits from graphs and tables of values. They view how a function behaves as the input approaches a...
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, students are given 7 problems in which they write expressions for trig functions, compute limits and graph functions.
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...
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...
Kenan Fellows
Attack of the Aphids!
Insects threaten the food production industry, and aphids are one of the big players! Analyzing data of aphid populations gives insight into their behaviors. Learners model the population data of an uninhibited population with an...
Curated OER
Limits
Students practice the concept of limits graphically, numerically and algebraically. They participate in an exploration lab, BINGO game and complete a puzzle.
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...
Curated OER
Inquiry Unit: Modeling Maximums and Minimums
Young mathematicians explore the maximun area for patio with the added complexity of finding the mimimum cost for construction. First, they maximize the area of a yard given a limited amount of fence and plot width v. area on a scatter...
Visa
Making Spending Decisions
By role playing real-world experiences, such as purchasing snacks and grocery/toy store shopping, your youngsters will begin to develop an understanding of how to make decisions and choose between alternatives. This is the first lesson...
Curated OER
Tower of Hanoi Lesson Plan
Students investigate the Legend of the Tower of Hanoi and complete mathematical problems related to the legend. They play the Tower of Hanoi game online in order to discover the number pattern involved. They solve problems using the...
Curated OER
How Many Bears in the Forest?
Third graders model the tag and recapture of bears and use proportions to estimate the population of the bears in their forest. This is a statistical sampling method used by scientists and naturalists to determine population numbers.