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Worksheet 4
For this functions worksheet, students solve eleven short answer questions. They find z sub x and z sub y for each of seven functions. In the final problem, students find the function of the given condition.
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Finding Roots and Newton's Method
In this roots instructional activity, 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 instructional activity...
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Worksheet 6
In this integral instructional activity, students are given 20 short-answer problems regarding integrals, temperature, time, limits, maximum & minimum values.
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Reviewing the First Unit
In this linear function activity, students explain how the linear function relates to direct proportionality. They answer questions dealing with slope fields, rate equations and illustrate Euler's Method. After answering six discussion...
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The Derivative
In this derivative worksheet, students estimate the derivative of given functions, compute the rate of change at a given point, and simplify the difference quotient. This two-page worksheet contains definitions, examples, and five...
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Limits, Continuity and Differentiability
In this limit instructional activity, students answer true or false statements concerning functions, limits and differentiability. They evaluate limits and explore rules for working with limits and continuity. This instructional...
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Some Elementary Derivative Formulas and Rules
In this derivative formula learning exercise, students solve problems concerning the derivative of constant functions and linear functions. They explore the derivative of the cosine and sums and differences functions. This six-page...
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New Functions From Old, Part 1
In this function worksheet, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page worksheet...
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Challenge Sheet 2: Evaluate Functions
In this function worksheet, students evaluate integrals using the fundamental theorem of calculus. They identify the maxima and minima on intervals. This one-page worksheet contains seven problems.
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Indefinite Integral
In this indefinite integral worksheet, students find the indefinite integral and differentiate functions. This one-page worksheet contains ten problems.
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Cell Organization
In this cell organization worksheet, 9th graders complete the table with each correct cell part and function for that particular part. Then they label the animal cell and the plant cell diagrams with each cell part.
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Taylor's Theorem
In this Taylor's Theorem learning exercise, students use the microscope approximation to determine the approximate value of a function. They rewrite expressions for the relative error, and observe changes in the relative error. They...
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Discussion Sheet 6: Doman & Range
For this domain and range worksheet, students determine the domain, range, x and y-intercepts, vertical, horizontal and asymptotes for a function. They write a formula for a function for given properties. Students read story problems...
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Worksheet 1 - Polynomials, Functions, Rates
In this polynomial worksheet, students read an assortment of story problems, determine the necessary information, and write an equation to solve the problem. Problems consist of topics dealing with area, factoring polynomials, distance,...
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Reviewing Functions
In this function worksheet, students describe a function and write six different ways a function may be modeled. This two-page worksheet contains eight problems.
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Related Functions
In this function activity, students discuss how a function would change if it shifted on a graph. They create ten new, related functions. Students identify odd, even and symmetric functions. This two-page activity contains examples,...
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The Derivative As a Function
In this derivative instructional activity, students find the derivatives of given functions and graph a function. They identify the intervals which are increasing, decreasing or remain constant. This two-page instructional activity...
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Quiz 2: Euler's Method and Piecewise Linear Functions
In this linear function activity, students use Euler's method to approximate a solution to an initial value problem. This two-page activity contains three multi-step problems.
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Maclaurin Series Quiz
For this Maclaurin series worksheet, students use the Maclaurin series to find the first nonzero terms in a function. They estimate the value of a function with a given absolute error. This two-page worksheet contains two multi-step...
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Homework Handout for Class 27
For this calculus worksheet, 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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Applications of Derivatives: General Rules for Optimization
In this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.
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Applications of Derivatives: Newton's Method
In this derivative activity, students use Newton's Method for finding the roots of a function. They identify the local extrema and discuss ways in which Newton's Method can fail. This one-page activity contains four problems.
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Functions of Two Variables
In this function of two variables worksheet, students explore the relationship between the derivatives of a function and the shape of the graph. They determine the maximum and minimum value using optimization. Students find the...
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Successive Approximation and Euler's Method
In this approximation worksheet, students use the Euler's method to interpret a piecewise linear function. They explore why the approximation produced using a smaller stepsize is a better approximation. This four-page worksheet...