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The Babylonian Algorithm, Limits and Rates of Change
In this successive approximations worksheet, students use the Babylonian algorithm to determine the roots of given numbers. They identify the limits of a function, and compute the rate of change in a linear function. This two-page...
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Understanding Limits
In this understanding limits, students determine the convergence of given sequences. They use properties of limits to evaluate functions. This two-page worksheet contains examples and explanations, as well as eleven problems.
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Challenge Discussion Sheet 2
In this function worksheet, students write a function for the volume of a cube, determine limits using trigonometric functions, sketch graphs, and use the Intermediate Value Theorem to prove solutions of problems. this one-page...
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Review of Limits
In this limit worksheet, students review limits stated as an expression, analyze Euler's method applied to a rate equation, compute the terms of a given sequence, and identify a sequence as a convergence or divergence. this four-page...
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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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Discussion Sheet 2: Domain and Range
In this domain and range worksheet, students determine the domain and range of a function, compute the limits of a function, and use the intermediate value theorem to verify that an equation is solvable. This one-page worksheet contains...
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Discussion Sheet 4: Limits & Differentiation
In this limits and differentiation activity, students use the limit definition of a derivative to compute functions, and differentiate functions. They determine the geometric significance of values and identify the sketch of a function....
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Discussion Sheet 3: Limits
In this limit activity, students evaluate limits and use asymptotes and intercepts to sketch graphs of functions. They determine the area of inscribed shapes and use the limit definition of a derivative to differentiate functions. This...
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Discussion Sheet 9: Functions and Limits
In this function and limits activity, students identify a one-to-one correspondence and identify an inverse function. They compute limits of functions. This two-page activity contains five multi-step problems.
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Discussion Sheet 1: Three-Dimensional Space
In this three-dimensional space worksheet, students sketch three-dimensional spaces, determine the intersection of two surfaces, plot curves, and evaluate the limits. This one-page worksheet contains six multi-step problems.
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Calc 1 Review Problems - Function
For this review of functions worksheet, students find the derivative of functions, evaluate limits, determine whether functions are invertible, identify critical points and find the equation of the tangent line to a function. This...
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Complex Analysis: Limits of Complex Functions
In this complex function learning exercise, students identify the limits of complex functions. They explore the rules on limits and the point at infinity. This two-page learning exercise contains examples and explanations, as well as...
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Limits
In this limit worksheet, students evaluate functions and determine the limits of the function. This one-page worksheet contains 10 problems.
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Finding the Limit of Composite functions
In this pre-calculus instructional activity, students calculate the composite of two functions as well as perform basic operations in order to determine the limit as x approaches a given number. There are 4 questions.
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Application of Delta-Epsilon Definition of the Limit
Students investigate the concept of a Limit and how it is used in a variety of problematic situations. They fold paper to help illustrate how to form equilateral triangles and explain how all the angles are the same. The lesson includes...