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Ws and Worms
Young scholars explore problem solving strategies. Given real life problems, students examine the sum of consecutive strings of whole numbers. Young scholars use diagrams and sequencing to solve problems. Students justify their...
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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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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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Average and Instantaneous Velocity
In this velocity worksheet, students determine the average velocity for a trip, graph the distance traveled as a function of time, estimate the slope and identify the instantaneous rate of change of the function. This two-page worksheet...
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Homework 7: Hares and Foxes (Based on a problem in Cic)
In this system of equations worksheet, students use systems of equations and Euler's method to calculate the population of hares and foxes. They plot and interpret their results. This one-page worksheet contains three multi-step...
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Some Elementary Derivative Formulas and Rules
In this derivative formula worksheet, students solve problems concerning the derivative of constant functions and linear functions. They explore the derivative of the cosine and sums and differences functions. This six-page worksheet...
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The Chain Rule and Applications
In this chain rule worksheet, students use the chain rule to differentiate compositions, and determine the value of the limits. They give reasons justifying each step of the chain theorem. This six-page worksheet contains theorems,...
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Linear Systems; Permutations and Transposes
In this permutations worksheet, students explore a permutation matrix, symmetric matrix, and the properties of the transpose. This three-page worksheet contains six problems.
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Linear Systems: Graphical Interpretation of Vectors and Linear Systems
In this interpretation of vectors and linear systems worksheet, students describe the geometric appearance of two vectors. They add the two vectors and sketch the sum as well as the vectors to determine the commutativity of vector...
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Linear Systems: Identifying Pivots and Multipliers
In this pivot worksheet, students explore the elimination process, and write a matrix in upper triangular form. They identify equivalent systems. This four-page worksheet contains examples, explanations, and approximately ten problems.
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Linear Systems: Eigenvalues and Eigenvectors
For 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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Multivariable Calculus: Gradient Fields and Vector Fields
In this gradient field worksheet students draw vectors which correspond to the gradient. They sketch vector fields and identify functions as a vector field or gradient fields. This two-page worksheet contains approximately five...
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Linear Systems: The Nullspace Matrix and Rank
In this nullspace worksheet, students identify the rank and nullspace in a matrix. They compare the nullspace and column space of given matrices. This two-page worksheet contains examples, explanations and five problems.
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Linear Systems: Linear Equations, Vectors and Matrices
In this vector and matrix worksheet, students explore matrix notation to represent linear systems. They use geometric interpretations of linear systems. This three-page worksheet contains three practice problems, explanations and...
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Eight Multiple Choice Domain and Range of Functions Problems
For this function worksheet, students determine domains and ranges in eight multiple choice problems. The solutions are provided.
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Five Volume of Pyramids Problems
In this pyramids worksheet, young scholars calculate the volume of pyramids in four multiple choice and one free-response problem. The solutions are provided.
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Applications of Derivatives: General Rules for Optimization
In this minima and maxima worksheet, students find the global and local maxima and minima of one function. They work in small groups to solve one optimization problem. Steps for solving are listed on the page.
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Graphing Accumulation Functions
For this accumulation function worksheet, students find the graphical relationship between two functions. They describe the relationships between the graphs of a function when accumulation begins at 0 and at 2.
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Linear Functions of Two Variables
In this linear function worksheet, learners 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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Variables and Slopes
For this variable and slopes worksheet, learners practice a warm-up activity involving variables V and X and using Euler's Method to solve a value problem.
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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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Limits of Functions as Undefined X-Values and L'Hopital's Rule
In this limits worksheet, students apply L'Hopital's rule to solve four limits problems. They solve a total of eleven short answer problems. The final seven problems ask students to find the asymptotes of functions.
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Linear Systems and Reviewing for Exam 2
In this math worksheet, students practice reviewing the different method to find the inverse for a matrix. They compute the determinant of a matrix.
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Linear Systems: Linear Equations, Vectors and Matrices
In this matrices activity, students write matrix notation to represent linear systems. This four-page activity contains approximately 15 problems.