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The Integral Test
In this integral test, students determine the limits, give partial sums of infinite series, explore geometric series, and use the Integral Test to determine if a function converges. This two-page learning exercise contains six...
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Convergent or Divergent Series
In this convergent or divergent learning exercise, students examine a given series and determine if it is absolutely convergent, conditionally convergent or divergent. This two-page learning exercise contains seven multi-step problems.
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Comparison Test
In this comparison test worksheet, learners use the comparison test or the limit comparison test to determine if a series is convergent or divergent. They give examples of a series. This two-page worksheet contains seven multiple...
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Worksheet 1: Fibonacci Numbers
In this Fibonacci worksheet, students prove by induction the Fibonacci numbers are recursive. They find a recursive definition for a given set of numbers. This two-page worksheet contains five multi-step problems that involve proofs.
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Solve Linear Systems by Substitution
In this linear systems worksheet, students use the substitution method to solve systems of equations. This one-page worksheet contains two multi-step problems.
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Relation Machines: Function
In this relation machine worksheet, students input given values into a function to determine the y-value answer. They identify functions. This two-page worksheet contains four multi-step problems.
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Error in Measurement
For this measurement worksheet, students use a measuring tape to measure suggested items located in the classroom, such a table or desk. Students measure to the nearest 1/16th of an inch. They calculate the surface area of each item. ...
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Investigating Slope
For this investigating slope worksheet, students use their graphing calculators to graph equations of a line with negative and positive slopes. They observe differences between the positive and negative slopes and write a rules based on...
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Fruit Loops/Cheerios Activity: Measures of Central Tendency
In this measures of central tendency activity, students use Fruit Loops and Cheerios to gather statistical data. They find the mean, mode and median of the data. Students construct a box-and-whisker plot of the class data. This...
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Comparing Notations
In this comparing notation worksheet, students read graphs and write what is displayed in set-builder notation and interval notation. They also read set-builder notation and interval notation and create a graph explaining the notation. ...
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Bingo - Solving Equations
In this solving equations worksheet, students simplify equations containing fractions and variables on both sides and then solve for the unknown. This two-page worksheet contains 25 multi-step problems.
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Penny Toss - Exponential Growth and Decay
In this penny toss worksheet, students collect statistical data by tossing pennies and then create a scatter plot of the data. They use formulas for exponential growth and decay and then plot the function. This two-page document...
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Systems of Inequalities
In this systems of inequalities worksheet, students solve systems of equations. Afterward, they shade in all possible answers on a coordinate plane. This two-page worksheet contains five multi-step problems.
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Worksheet 22: Coalitions
In this coalitions worksheet, students identify all minimal coalitions from a given set of material. They give explanations to support their answers. This two-page worksheet contains three multi-step problems.
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Worksheet 16: Plurality
In this plurality instructional activity, students study a given set of voting statistical data. They use the plurality method to determine the election results. This two-page instructional activity contains four multi-step problems.
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Practice Test for Midterm: Partial Derivatives
In this partial derivatives worksheet, students use Lagrange multipliers to find the maximum and minimum values of a given function. They find an equation of the tangent plane under given conditions and identify the second partial...
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Multivariable Calculus: Multiple Integration
For this multiple integration worksheet, students define coordinate rectangle, explore what it means to be "bounded on a set," and define the Riemann integral. They find the volume of a graph with specified boundaries and curves. ...
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Multivariable Calculus: Multiple Integration
In this multiple integration activity, students identify the multiple integration of a given function. They evaluate integrals and identify their value. Students sketch a region of integration, write integrals in terms of rectangular...
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Multivariable Calculus: Extrema of Multivariable Functions
In this multivariable function worksheet, students determine the extrema of multivariable functions, classify critical points, and solve functions with given boundaries. This two page worksheet contains five multi-step problems as well...
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Multivariable Calculus: Curvilinear Coordinates
In this curvilinear coordinate worksheet, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian matrices. This...
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Multivariable Calculus: Linear Systems
In this linear system activity, students compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page activity contains examples, explanations, and three multi-step...
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Discussion Sheet 1: Three-Dimensional Space
In this three-dimensional space worksheet, students sketch three-dimensional spaces, determine the intersection of two surfaces, plot curves, and evaluate the limits. This one-page worksheet contains six multi-step problems.
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Discussion Sheet 4: Integrals
In this integral learning exercise, students sketch solids in three dimensional space, determine the coordinates, evaluate the integrals and identify the moment of inertia. This one-page learning exercise contains six multi-step problems.
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Applications of Definite Integrals
In this definite integral instructional activity, students explore different types of integrals and determine the length of a curve. This one-page instructional activity contains eight multi-step problems.