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The Pyramid: Estimating Volumes

For Students Higher Ed
In this estimating volumes activity, students determine the area and volume of pyramids. They draw a cross-section of the pyramid. This four-page activity contains approximately 20 problems.
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Introduction to Accumulation

For Students 11th - Higher Ed
In this math worksheet, students work in groups to estimate the area of the ellipses using the grids. Then they estimate the arclengths of the ellipses.
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Summation Notation, Area, Riemann Sums

For Students 11th - Higher Ed
In this math worksheet, students explore the concepts of summation notation, area, and Riemann sums. Then they apply them for the word problems.
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Properties of the Definite Integrals

For Students 11th - Higher Ed
In this math instructional activity, students investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.
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Basic Calculus II: Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem instructional activity, students find the antiderivative of a function. This two page instructional activity contains five multi-step problems.
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Introduction to Substitution

For Students 11th - Higher Ed
in this math learning exercise, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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Examples of Integral Exchange Using Substitution

For Students 11th - Higher Ed
In this math worksheet, students find the solutions to the problems using the operation of substitution. Then they pay attention to relating this while further evaluating integrals.
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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.
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Trigonometric Examples of Integration by Substitution

For Students Higher Ed
In this integration worksheet, students use trigonometric identity and integration by substitution to solve given integrals. This two-page worksheet contains three problems.
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Computing Traveled Distance from Velocity

For Students Higher Ed
In this velocity worksheet, students compute the distance they would travel given a constant velocity for a car for specified amounts of time. They use tables to find the initial and terminal velocities for each time interval.
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Introduction to Accumulation

For Students Higher Ed
In this area of an ellipse activity, students are directed to work in groups of four to estimate the area of an ellipse by following four steps: They over and underestimate the area by using a large grid, then under and over estimate the...
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Riemann Sums and the Definite Integral

For Students Higher Ed
In this integral worksheet, students use Riemann sums to estimate their answers. They answer story (or word) problems about distance/speed. Students are given a defined interval and use the Riemann sum to find the endpoints of the graph....
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Area, Riemann Sums and Summation Notation

For Students Higher Ed
In this math worksheet, students solve four problems written in sigma notation. They use Riemann sums to find the areas in four problems involving rectangles. Students work in groups to compute the Riemann sum approximations for rectangles.
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Riemann Sums and Error Stacks

For Students Higher Ed
For this Riemann sums worksheet, students use accumulation to find the estimate for the area of a given shape. Students use Riemann sums to estimate the area under the curves and error stacks to bound the error of their approximation....
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Solutions of Initial Value Problems

For Students Higher Ed
For this initial value worksheet, students explore the best methods to solve rate problems. Students differentiate functions to check the initial value of problems. This two-page worksheet contains approximately ten multi-step problems.
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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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S-I-R Model of Disease

For Students Higher Ed
In this SIR model worksheet, students use the SIR method to determine the rate of change of people real life problems. They investigate the sequence of people infected with a disease, the number recovered, and the number of susceptible...
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Analyzing the S-I-R Model

For Students Higher Ed
In this SIR model worksheet, students analyze a real life problem using the SIR method. They explore given facts and determine the threshold value for an epidemic, the sequence for the recovery period, and the effect on the model from a...
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Successive Approximations and Euler's Method

For Students Higher Ed
In this Euler's method learning exercise, students compute the successive approximations for a given function. They compute the piecewise linear function to produce the approximation to the solution of the initial value problem. This...
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Reviewing the First Unit

For Students Higher Ed
In this linear function instructional 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...
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Implicit Differentiation

For Students Higher Ed
In this implicit differentiation worksheet, students use the chain rule to solve for the derivative. The find the equation for the tangent line at a given point and determine if the line is vertical. This two-page worksheet contains...
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The Product and Quotient Rules

For Students Higher Ed
In this produce and quotient rule worksheet, students identify the values of given limits. They justify given proofs and explore the derivative of the sine and tangent functions. This three-page worksheet contains explanations,...
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Taming the Wild Wiki

For Teachers 7th - 12th
Take a look at the credibility of online sources such as Wikipedia. Discussion points and handouts are included to facilitate a meaningful and informative dialogue. Tips are given on how to determine if a Wikipedia article is reliable...
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Geometry Practice: G.G.28 #1: Congruent Triangles

For Teachers 9th - 12th
In this congruent triangles worksheet, students solve four multiple choice problems. Students determine which statement is the appropriate reasoning to say that two triangles are congruent.

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