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Euler's Method Introduction

For Teachers 9th - 12th Standards
Young mathematicians define and use Euler's method to solve problems in this calculus lesson. Learners visualize graphs and solve differential equations. They create these visuals on the TI calculator.
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Measuring Scavenger Hunt

For Teachers 2nd - 6th
Students participate in a measuring scavenger hunt. Students choose items around the room to estimate and measure. Students try measuring with their hands and compare with other students who did the same. Students discuss why their...
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Object Graphs

For Teachers K
Students identify geometric shapes, demonstrate construction of an object graph, compare sets of objects, estimate which student has the most geometric shapes in his or her bag, and play computer game Jump Start Kindergarten.
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Metric Meals

For Teachers 6th
Sixth graders investigate metric measurements. In this metric measurement activity, 6th graders explore mass, capacity, and length. Students examine graduated cylinders and balance scales to obtain measurements. Resources are provided.
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Lab 3: Length as an Application of Integration

For Students Higher Ed
For 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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Reasonable Answers

For Students 3rd - 4th
In this reasonable answers worksheet, learners 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

For Students 3rd - 5th
In this decimal estimation worksheet, 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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Standard Numerical Quadrature

For Students 11th - Higher Ed
In this math worksheet, students explore the concept of numerical quadrature by reading the definition. Students sketch an approximation for the trapezoid.
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Numerical Integration

For Students 11th - Higher Ed
In this math activity, students practice using the concept of numerical integration. They also practice the approximation for the unit circle.
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Estimating and Measuring Amounts

For Teachers 3rd
Third graders explore measurement. In this estimation and measurement lesson, 3rd graders examine visual examples using standard units to measure length. Students also practice solving problems that their instructors model.
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Measuring Irregular Shapes

For Teachers 6th
Sixth graders practice measuring shapes that do not have a common shape. They practice using centimeter grid paper to make the measurements. Students also use estimation skills after measurements are taken.
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Multivariable Calculus: The Gradient

For Students Higher Ed
For this gradient worksheet, students explore the definition of differentiable and gradient. They find the tangent approximation of given situations, and determine the directional derivative. This two-page worksheet contains examples,...
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Multivariable Calculus: The Jacobian Matrix

For Students Higher Ed
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

For Students Higher Ed
For 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...
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Recursion, Roots and Newton's Methods

For Students Higher Ed
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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Questions over Chapter 12: Calculus and Analytic Geometry

For Students Higher Ed
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

For Students Higher Ed
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

For Students 4th - 5th
In this estimation worksheet, students solve a total of 6 word problems that involve rounding to a given place value and estimating.
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Homework: Simple Rounding to 10

For Students 3rd - 4th
In this simple rounding worksheet, students solve 12 different problems that include rounding to the nearest ten in each. First, they write the ten nearest to the number on a number line. Then, students identify the number in each box...
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Life is Full of Problems

For Teachers 3rd - 6th
Pupils use the problem solving strategy of guess and check to investigate math word problems. They determine which problem solving strategy or strategies would work best in problem situations.
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Estimate then Measure the Angle #4

For Students 4th - 6th
In this angles instructional activity, 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

For Students 2nd - 4th
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

For Students 7th
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 Profit from a Job

For Teachers 5th - 8th
Students create a budget. In this estimation and rounding lesson, students create a budget for a painting job. They must make sure that they come out with a profit.

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