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Numerical Analysis/ Floating Point Numbers and Round-O Error
In this math worksheet, students examine the examples using the concepts of floating point numbers and round off error. Then they compute the data for the given functions.
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Riemann Sums and Error Stacks
In 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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Finding Roots and Newton's Method
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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Reviewing the First Unit
In this linear function worksheet, 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...
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Estimate Length Problems
In this estimation of length worksheet, 7th graders complete 10 different problems that involve estimation of numbers. First, they solve each of the length problems shown by using the pictures. Then, students count one apple equal to the...
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Estimate Weight or Volume
For this estimation with weight and volume worksheet, 5th graders solve and complete 6 problems that include estimating objects. First, they determine which item illustrated weighs more. Then, students determine which figure illustrated...
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Estimate the Number of Objects
In this estimating the number of objects worksheet, 7th graders complete 12 different problems that include estimation of numbers. First, they guess how many of each object there is in each problem. Then, students check their work by...
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Calculator
In this mathematical calculations learning exercise, 4th graders complete 12 multiplication problems by using a calculator. Students also develop an estimate for these problems.
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Reasonable Answers
In this reasonable answers worksheet, students solve 6 word problems in which estimation is used. Students circle the most reasonable answer from 3 choices.
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Equal Estimates- Decimals
In this decimal estimation learning exercise, students estimate a set of addition and subtraction problems, rounding to the nearest whole number, then place each problem in the box that contains its estimated sum or difference.
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Lab 3: Length as an Application of Integration
In this integration worksheet, students graph a function that is a quarter circle curve. They calculate lengths of curves by approximation using the distance formula. Students use a computer program to calculate the approximation of the...
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Standard Numerical Quadrature
In this math worksheet, learners explore the concept of numerical quadrature by reading the definition. Students sketch an approximation for the trapezoid.
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Numerical Integration
In this math instructional activity, learners practice using the concept of numerical integration. They also practice the approximation for the unit circle.
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Questions over Chapter 12: Calculus and Analytic Geometry
In this calculus question worksheet, students read calculus questions by their peers. The students attempt to teach each other by answering the written questions. Questions cover limits, test for convergence, approximation, interval of...
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Summary Worksheet: Sequences
In this sequence worksheet, students determine whether the sequence is convergent or divergent. They find the limit of a given sequence, and solve distance problems. Students explore partial sums of an infinite series and use the...
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Estimate Differences
In this estimation activity, students solve a total of 6 word problems that involve rounding to a given place value and estimating.
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Multivariable Calculus: The Gradient
In this gradient instructional activity, students explore the definition of differentiable and gradient. They find the tangent approximation of given situations, and determine the directional derivative. This two-page instructional...
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Multivariable Calculus: The Jacobian Matrix
In this Jacobian matrix worksheet, students identify the derivative matrix of a function and use the tangent approximation to approximate vectors. This two-page worksheet contains six problems.
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Riemann Sums and the Definite Integral
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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Recursion, Roots and Newton's Methods
In this recursion worksheet, students determine the successive approximations of square roots by using the Babylonian Algorithm. They discuss how to derive Newton's Method from the microscopic approximation. This four-page worksheet...
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Estimate then Measure the Angle #4
For this angles worksheet, students estimate angles to within 15 degrees, then measure and name each. A reference web site is given for additional activities.
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Estimating Units of Length Word Problems
Which unit of measurement would you use? As your scholars begin to understand measuring, it's important they become familiar with the various units. They examine five object images and match them to one of five units: meters,...
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Estimate Length
In this estimation of length worksheet, 7th graders complete 20 different problems that include the estimation of numbers. They determine the approximate weight of each illustration shown in the box. Then, students circle the correct...
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Estimating Quotients
In this estimating quotients instructional activity, students solve 20 different problems that include estimating a variety of quotients in each. They divide each whole number and then estimate the answer in each problem to the nearest...
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