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Ws and Worms
Students explore problem solving strategies. Given real life problems, students examine the sum of consecutive strings of whole numbers. Students use diagrams and sequencing to solve problems. Students justify their mathematical...
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Area of a Rectangle
In this geometry worksheet, 4th graders calculate the area of 3 rectangles using the l x w x h formula. They work with the measures of centimeter, feet, and meters.
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Linear Functions of Two Variables
In this linear function worksheet, students write linear functions, in intercept form, that satisfy given conditions. They find the local linearity for a function. This five-page worksheet contains examples, explanations, and six...
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Indeterminate Forms and L'Hopital's Rule
In this limits worksheet, students use Taylor's Theorem to solve two short answer problems. They use L'Hopital's Rule to solve two short answer problems. Students read a two page lesson on limits.
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Functions of Two Variables
In this functions worksheet, students solve one short answer (computation) problem. They answer one short essay question about the output variable (z). Students answer two short answer questions about surface graphs. Students find the...
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Variables, Formulas, Functions, Graphs
In this function worksheet, students are given 6 short-answer problems regarding formulas vs. functions, graphing functions and different ways to view functions.
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Introduction to Mathematical Modeling
In this mathematical modeling worksheet, students answer two essay questions. They describe Newton's Law of Cooling by describing and constructing a model and answering seven essay questions about the process.
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The Algebra and Geometry of Inverse Functions
In this inverse functions learning exercise, students read a tutorial and complete fourteen fill in the blank style practice problems. Students read a tutorial about the composition of functions. They answer three fill in the blank...
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The Chain Rule
In this calculus worksheet, learners are given 21 short-answer problems regarding the "chain rule", derivatives, rate of change and completing tables.
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Applications of Derivatives: Optimization
In this optimization worksheet, students write a short essay listing the criterion for global minimum. They write directions for finding the global minimum on a closed or open interval.
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Applications of Derivatives: Finding Maxima and Minima
In this derivatives worksheet, students complete a function chart by telling the type of function, the derivative, and making an illustration of the concept. They find the intervals at which a given function is increasing or decreasing....
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Class 2: Proportionality
In this proportionality worksheet, students are given 4 short-answer problems regarding change in velocity, time elapsed, point-slope form, and slope-intercept form.
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Newton's Law of Cooling
In this Newton's Law of Cooling worksheet, students complete an essay format write up of a convection model. They write the purpose and assumptions of their lab. Students complete three rate of change problems. They describe a model in...
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Numeral Analysis: Rate of Convergence
In this rate of convergence worksheet, students use three different methods to compute an order of convergence of a function. This four-page worksheet contains approximately 10 problems, with examples.
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Perturbing Functions and Introduction to Matlab
In this math worksheet, students practice using the program of Matlab and apply them while using functions. They practice writing equations in truncated form.
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Rates of Convergence of Functions and Sequences
In this math learning exercise, students explore the rates of convergence for functions and sequences. They also practice using Taylor series approximations.
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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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Applications of Derivatives: Finding Maxima and Minima
In this derivative worksheet, students use the second derivative test to determine the maxima and minima of given functions. They explore real life problems to complete the optimization of a problem. This two-page worksheet contains...
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Differentiability and Linear Approximation
For this differentiability worksheet, students write expressions for a tangent line approximation to a graph, determine the limits, and use Taylor's theorem to differentiate given functions. This three-page worksheet contains a...
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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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More On Accumulation Functions
In this math activity, students investigate using the accumulation method to solve for the functions. They also review using Riemann Sums.
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Accumulation Functions and Definite Integrals
In this accumulation functions worksheet, students write expressions that involve the definite integral of a given function. They use a graph to find given values of areas of the line. Students follow guiding questions to determine the...
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Taylor Polynomials, Minima, Maxima and Inflection Points
In this Taylor polynomial worksheet, students answer 3 problems regarding quadratic polynomials, 2nd degree Taylor polynomials, and cubic polynomials.
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Mathematical Modeling and constant Rate Equations
In this rates worksheet, students solve five story (word) problems related to rate and time. In two of the problems students are directed to create a graph of the problem.
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