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Learning the Anti-differentiation Process

For Students 11th - Higher Ed
In this math activity, 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.
Worksheet
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Properties of the Definite Integrals

For Students 11th - Higher Ed
In this math worksheet, students investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.
Worksheet
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More On Accumulation Functions

For Students 11th - Higher Ed
In this math worksheet, students investigate using the accumulation method to solve for the functions. They also review using Riemann Sums.
Worksheet
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Integration By Parts

For Students 11th - Higher Ed
in this math worksheet, students read the example for the product rule. Then they apply the rule individually or in groups to the following integrals.
Worksheet
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Using Riemann Sums

For Students Higher Ed
In the Riemann sums instructional activity, students use Riemann sums to estimate the area under a curve. They calculate intervals and subintervals. Students create a graph picturing the intervals. This seven-page instructional...
Lesson Plan
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Precalculus: Function Models for Real-Life Situations

For Teachers 10th - 12th
Learners use calculators and "by hand" techniques to compare models of real-life data situations, determine the best model for a situation, and use their models to make predictions.
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Worksheet 17 Practice Exam

For Students 11th - Higher Ed
In this math worksheet, students complete the practice exam that asks for the solution to the parametric equation. Also they name the perpendicular line in relation to it.
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Worksheet 21 Spring 1996

For Students 11th - Higher Ed
In this math worksheet, students consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.
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Worksheet 22

For Students 11th - Higher Ed
In this math activity, students demonstrate that the point ( 1√ 2 , −1 2 , 1 2 ) lies on the unit sphere. They find the equation of the plane tangent to the unit sphere.
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Worksheet 18 Fall 1995

For Students 11th - Higher Ed
For each of the equations they find the values of the rational expressions. Then they differentiate each expression in relation to the value of t.
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Numerical Analysis/ Other Root-finding Methods

For Students 11th - Higher Ed
In this math learning exercise, learners examine the uses of false position, Newton’s and Secant methods of finding the root of an equation.
Worksheet
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Linear Systems and Reviewing for Exam 2

For Students 11th - Higher Ed
In this math worksheet, students practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
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Changing Order of Integration of a Triple Integral

For Students 11th - Higher Ed
In this math worksheet, students practice writing the 5 integral solutions. Then they sketch pictures of the volume that is integrated.
Worksheet
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PreCalculus Test Sections 5.1 - 5.2

For Students 10th - 12th
In this pre-calculus worksheet, students simplify given equations.  They prove given identities.  This two-page worksheet contains 12 multi-step problems. 
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Linear Systems: Applications of Linear Algebra to Differential Equations

For Students 12th - Higher Ed
In this differential equations worksheet, students solve systems of simultaneous differential equations using linear algebra. This six-page worksheet contains approximately six problems, with explanations and examples.
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Applying Linear Algebra to Differential Equations

For Students 11th - Higher Ed
In this math activity, students using linear algebra to find the solutions to the differential equations. The equations are listed in systems.
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Worksheet 9 Practice Test 1

For Students 11th - Higher Ed
In this math worksheet, learners find the solutions to the differential equations. Then they examine the group of equations in order to determine the ones that are linear.
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Worksheet #6, Exponents, Interest, and Radioactive Decay of Isotopes

For Students 11th - 12th
For this calculus worksheet, students sketch graphs of given exponential functions. They compute the principal needed to have a given ending balance when the interest is compounded at varying times. Students use a simple exponential...
Worksheet
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Worksheet #5, Concavity,

For Students 11th - 12th
In this calculus worksheet, students determine the intervals in which a given relation is concave up. They determine the inflection points of a given formula. Students use the second derivative test to classify the relative extrema of a...
Worksheet
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Riemann Sums

For Students Higher Ed
In this college calculus worksheet, students write the Riemann Sum for the indicated partition and sub-intervals.  The two page worksheet contains five problems.  Answers are not included. 
Worksheet
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Math 155 Review Worksheet 5

For Students Higher Ed
In this college level Calculus learning exercise, students find the derivative of the given function and find the rate of change of the area of a circle with respect to its circumference.  The two page learning exercise contains...
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Differentiation

For Students Higher Ed
In this college level calculus learning exercise, students differentiate functions including logarithms and trigonometric functions.  The two page learning exercise contains twenty-six problems.  Answers are not provided. 
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Error and Power Series

For Students Higher Ed
In this college level calculus worksheet, students compare two series to compute the error given the number of terms added. Students write the Maclaurin and Taylor series for the given functions. The two page worksheet contains seven...
Lesson Plan
West Contra Costa Unified School District

The Extreme Value Theorem

For Teachers 11th - Higher Ed
Finding the critical numbers of a function can be extreme. The lesson introduces the Extreme Value Theorem to the class with a graph. Pupils then have an opportunity to practice determining the values using an algebraic function.

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