Curated OER
Taking Estimation and Measurement Outside
Eighth graders gain a better understanding of visual distances and estimation. They actively practice using metric measurement and conversion. Students practice cooperative exploring and team building.
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Taylor's Theorem
In this Taylor's Theorem worksheet, students use the microscope approximation to determine the approximate value of a function. They rewrite expressions for the relative error, and observe changes in the relative error. They use...
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Local Linearity and the Microscope Approximation
In this local linearity worksheet, students identify the slope of a line tangent to the graph at a given point. They use linear approximation to estimate values. Students determine the slope of a secant line at a given point. This...
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Implicit Differentiation
In this implicit differentiation worksheet, students use the microscope approximation method and Euler's method to approximate values at a given point. This two-page worksheet contains five problems.
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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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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 Roots and Newton's Method
In this roots activity, 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 activity contains examples, explanations...
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Euler's Method
In this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.
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The Definition Derivative
In this derivative worksheet, students evaluate limits, factor equations, and calculate the given function. They determine the derivative of a function and plot it on a graph. This four-page worksheet contains eight problems.
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Ecosystems
Sixth graders perform various labs, create presentations, and do hands on activities to explore the ecosystem.
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How Small Can You Cut?
Students explore quarks, the smallest particles known. They follow a table to determine how many paper cuts they would have to make to get down to the size of a quark. They cut a paper strip in half as many times as they possibly can...