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Linear and Quadratic Approximations

For Teachers 11th - 12th
Learners explore a linear, a parabolic, and a log function.  In this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function.  Learners examine the three graphs as they compare and...
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Worksheet 1

For Students 11th - Higher Ed
In this math learning exercise, learners give an example of a function which is continuous but not differentiable. They also write a definition for differentiable.
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Math 155 Worksheet 1

For Students Higher Ed
In this college level Calculus learning exercise, students review factoring, rationalization of a denominator, and functional notation to prepare for differentiation.  The two page learning exercise contains six problems. ...
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Worksheet 13

For Students 11th - Higher Ed
In this math worksheet, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.
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Vertical and Horizontal Translations

For Teachers 11th - 12th
Students analyze function graphs.  For this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the...
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Learning the Anti-differentiation Process

For Students 11th - Higher Ed
In this math worksheet, students examine the data table and attempt to fill in the empty boxes for the functions. They are asked to list the pattern found there.
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Finding Roots and Newton's Method

For Students Higher Ed
In this roots worksheet, students identify the local maxima and minima for a function. Students find the roots of the function using roots and Newton's Method of approximation. This three-page worksheet contains examples, explanations...
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Chapter 3 - Worksheet 3D

For Students 11th - 12th
In this pre-calculus worksheet 3D, students determine if a function is even or odd. They sketch graphs of functions and find the inverse of functions. This two-page worksheet contains 18 problems.
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Worksheet 25

For Students 11th - Higher Ed
In this math activity, students state the Fundamental Theorem of Calculus. Then they evaluate the functions and test them against the theorem.
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Homework Handout for Class 27

For Students Higher Ed
In this calculus activity, students solve five functions. They use the answers to approximate a second function. Students graph the Taylor polynomials and functions. They compare the two Taylor approximations.
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Easy Worksheet: Limits

For Students 11th - 12th
In this limits learning exercise, 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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Worksheet 17

For Students 11th - Higher Ed
In this math worksheet, students practice graphing functions and define the domain. Then they use Lagrange's Theorem to estimate the error involved in using the two Taylor polynomials.
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Decode Word Is..

For Teachers 8th - 10th
Pupils solve problems using patterns. In this algebra instructional activity, students identify the relation, domain and range of a function. They graph functions using coordinate pairs.
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Taylor Series: Natural Number

For Students 9th - Higher Ed
In this calculus worksheet, students apply the Taylor Series to exponential functions based at either zero or one. There are 2 questions with multiple parts.
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Horizontal Asymptotes: M=N, M>N

For Students 9th - 12th
In this algebra worksheet, students calculate the horizontal asymptote for rational functions, whose leading exponents follow the rules: M = N or M > N. There are 4 questions.
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The Spread of Disease with Differential Equations

For Teachers 12th
Twelfth graders solve problems using differential equations.  In this Calculus lesson, 12th graders analyze data regarding the spread of a flu virus.  Students use the symbolic capacity of the TI-89 to develop a model and...
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Review of Limits and Continuity

For Students 11th - 12th
In this calculus worksheet, students complete a chart of values using limits and continuity. They use the test of continuity to solve most of the problems and match their answers to the correct answers. There are 18 matching questions...
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The Calculus Whiz Who Owned a Box Company

For Teachers 10th - 12th
Young scholars use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
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Multivariable Calculus: Application of Partial Derivatives

For Students Higher Ed
In this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations, examples,...
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AP Calculus Practice Exam

For Students 11th - 12th
In this Calculus activity, students are provided with practice problems for their exam.  Topics covered include derivatives, area bounded by a curve, local maximum, instantaneous rate of change, and the volume of a solid of...
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Logarithms: Test Sections 4.1 - 4.3 A.P. Calculus

For Students 10th - 12th
In this logarithms worksheet, students evaluate and solve equations with logarithms.  They derive the formula for a derivative of a given function.  Students explain the differences between logarithms.  This one-page...
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Chill Out

For Teachers 11th - 12th
Students investigate Newton’s Law of Cooling.  For this Algebra II/ Pre-Calculus lesson, students explore exponential regression as they conduct an experiment to simulate the temperature variations that occur as a liquid...
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Worksheet 14 - Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students Find the interval of convergence of the power series. Special attention should be paid by checking the endpoints.
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A.P. Calculus Test Covering Limits, Derivatives, and Integrals

For Students 12th - Higher Ed
In this calculus worksheet, students solve ten multiple-choice questions and eleven free-response questions covering limits, derivatives, and integrals.  Students should have covered trig limits prior to this worksheet.

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