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Using Pictographs

For Students 3rd - 5th Standards
If one ice cream cone represents three ice cream scoops, and Bob has four ice cream cones, then how many scoops does Bob have? Learners solve these kind of questions with their new understanding of pictographs.
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Writing a Number Sentence

For Teachers 3rd
Third graders analyze word problems. In this number sentence lesson, 3rd graders evaluate word problems. Students create number sentences from word problems.
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Derivatives of Inverse Functions

For Students Higher Ed
In this derivatives worksheet, students use the chain rule to show equalities between functions. They read a tutorial that guides them through the process of using the chain rule to find derivatives. This worksheet includes five short...
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Linear Systems: The Determinant

For Students Higher Ed
In this determinant worksheet, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page worksheet contains approximately nine problems, as well as examples and...
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Probability

For Students 9th - 12th
In this probability worksheet, students determine the empirical probability based on specific sample data.  The one page worksheet contains three problems.  Solutions are provided. 
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Numerical Analysis: Using the QR Algorithm

For Students Higher Ed
In this QR algorithm activity, students use the QR algorithm to solve an over-determined system of equations. This two-page activity contains 11 problems.
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Linear Systems: Definition of the Nullspace

For Students 11th - Higher Ed
In this nullspace activity, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page activity contains approximately 8 problems.
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Linear Systems: The Column Space

For Students 11th - Higher Ed
In this column space activity, learners find the column spaces of given matrices. This two-page activity contains examples of and explanations. One problem is provided for students to complete.
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Linear Systems: Graphical Interpretation of Vectors and Linear Systems

For Students Higher Ed
In this interpretation of vectors and linear systems activity, 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: Independence, Basis and Dimension

For Students 12th - Higher Ed
In this basis and dimension worksheet, students explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
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Numerical Analysis

For Students Higher Ed
In this numerical analysis learning exercise, students plot functions, predict the number of iterations, and identify the convergence criteria of the function. This two-page learning exercise contains eight problems.
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Numeral Analysis: Introduction To Fixed Point Iteration

For Students Higher Ed
In this fixed point iteration worksheet, students use given theorems to determine converged functional iteration. This six-page worksheet contains five problems. Explanations and examples are provided.
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Linear Systems: Using Matrix Operations

For Students 12th - Higher Ed
For this linear systems worksheet, students use matrix multiplication as an elimination technique to solve linear systems. They compare products and explore trends. This four-page worksheet contains explanations, examples and five...
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Complex Analysis: Graphical Representations

For Students Higher Ed
In this graphical representation worksheet, students draw an Argand diagram depicting two complex numbers in a complex plane. They draw vectors to represent complex numbers. This two-page worksheet contains five equations to solve.
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Fish Counting Nursery Rhyme

For Teachers Pre-K
Students experience The Fish Counting Rhyme. In this counting instructional activity, students practice counting while listening to The Fish Counting Rhyme.
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Linear Functions

For Students 10th - 12th
In this linear functions learning exercise, learners problem solve and calculate the answers to five linear equations associated with volume, point-slope forms, initial value forms and slope-intercept forms.
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Numerical Analysis: Polynomial Interpolation

For Students Higher Ed
In this polynomial instructional activity, students find interpolating functions that can be expressed as a linear combination of basis functions. This four-page instructional activity contains five multi-step problems.
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Numerical Analysis: Introduction to Approximation Theory

For Students Higher Ed
In this introduction to approximation theory, students compute the slope and intercept of a line. They describe nonlinear relationships. This four page worksheet contains approximately five problems.
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Numerical Analysis: Machine Representation of Numbers

For Students 9th - 12th
In this machine representation of a number activity, learners explore definitions such as floating-point, round-off error, binary representation of a number, mantissa, and sign bit. They identify significant digits and determine how...
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Multivariable calculus: Partial Derivatives

For Students 11th - Higher Ed
In this partial derivative worksheet, students calculate the derivative of given problems and find the equation of the tangent plane to an equation. This two-page worksheet contains five problems.
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Linear Systems: Review of Vectors

For Students 12th - Higher Ed
In this review of vectors worksheet, learners explore vectors and their uses. They multiply and subtract vectors and identify the linear combinations of given matrices. This two-page worksheet contains approximately ten problems.
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Linear Systems: Graphical Interpretation of Vectors

For Students 11th - Higher Ed
For this graphical interpretation of vectors worksheet, students execute operations of addition and multiplication by a scalar. They sketch results and determine the commutativity of vector addition. This three-page worksheet contains...
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Numerical Analysis: Sequence

For Students 12th - Higher Ed
For this sequence worksheet, students explore the convergence of a sequence and the rate of a sequence. They explore problems and identify the order of convergence. This three-page worksheet contains approximately six problems. ...
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Linear Systems: Matrix Operations

For Students Higher Ed
In this matrix operations worksheet, students perform matrix addition and multiplication. This two-page worksheet contains six problems. Definitions, examples and explanations are also provided.