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Computing Traveled Distance from Velocity
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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Area, Riemann Sums and Summation Notation
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 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 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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October 14th Rainforest Week Brownie Meeting
Students talk about the destruction of the Rain Forest and learn a Rain Forest Song. They start the meeting off with a tropical forest coloring sheet. They relate to the plight of the Rain Fores and understand the importance of saving...
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Power and Conservation vs. Non-Conservative Forces
In this power activity, 12th graders solve four problems including calculating work done by friction, determining work done by gravity and the calculating the minimum horsepower needed to save a ship that is sinking.
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Linear Systems: Differential Equations
In this differential equations worksheet, students determine the stability of matrices and evaluate a matrix with an exponent. This two-page worksheet contains examples, explanations, and two problems to solve.
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Linear Systems Class Overview
In this math instructional activity, students find the solutions to the problems using the linear systems of equations. The sheet is a list of review topics.
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Linear Systems: Eigenvalues and Eigenvectors
In this eigenvalues worksheet, students find the eigenvalues and eigenvectors of a given matrix. This two-page worksheet contains examples, explanations and two practice problems.
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Properties of the Definite Integrals
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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Introduction to Substitution
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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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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Linear Functions and Piecewise Linear Functions
An activity that could function as a review or as a quiz, this worksheet prompts students to find two different linear functions that satisfy the given equation. Students sketch the graph of two linear equations. They identify the domain...
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Rate Equation
In this rate equation worksheet, students use Euler's method to estimate the value of rate equations. They use the piecewise linear function approximation to determine the solution of an initial value problem. This two-page worksheet...
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Successive Approximations and Euler's Method
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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Implicit Differentiation
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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Finding Total Given Part and Percentage
Learners observe models of fractional parts. After writing the definitions of percent, part and whole, students use the calculators and computers to solve problems. Individually, they complete assigned problems where the convert the...
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Short Story
Seventh graders identify the various elements of a short story. After reading Rudyard Kipling's short story, "Rikki-Tikki-Tavi," students identify the author's purpose in writing the story as well as the elements that make it a short...
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Rainforest Week Brownie Meeting
Students view video and sing a song about the destruction of the rainforest. In this tropical rainforest lesson, students (Brownies) will look at the world if there was no rainforest. Students discover the importance of the rainforest...
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Basic Calculus II: Fundamental Theorem of Calculus
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 Accumulation
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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Composition of Functions and the Chain Rule
In this function worksheet, students determine the natural domain and range for functions and formulas. They identify the composition of two functions and complete the derivation of the quotient rule. This three-page worksheet contains...
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Europe Maps
A series of maps depicts pre-WWI to post-WWII Europe for your geographers. They use reference materials to help them correctly fill in the countries and the borders as they changed through time. A great resource for a history lesson, or...
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Variables and Slopes
In this variable and slopes activity, students practice a warm-up activity involving variables V and X and using Euler's Method to solve a value problem.
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