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Linear Systems: Definition of the Nullspace
In this nullspace worksheet, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page worksheet contains approximately 8 problems.
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Linear Programming
In this linear programming worksheet, 11th graders solve and complete 4 different word problems that include various applications of linear programming. First, they find the maximum earning of a situation given the time worked. Then,...
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Solution Sets and Linear Independence of Vectors
Eleventh graders study homogeneous linear systems. In this linear system of equations instructional activity, 11th graders write linear system solutions in parametric vector form. Students also identify the connection between linear...
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How Does a Spring Scale Work?
Students create visuals of the effect of a spring scale. In this algebra lesson, students use the navigator to graph the effects created by a spring scale. They draw conclusion from the graph.
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Linear Modeling: Functions
Learners analyze linear functions. In this algebra instructional activity, students create a linear model to relate coordinate pairs. They evaluate and solve equations.
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The Calculus Whiz Who Owned a Box Company
Students use the relationship between volume and surface area to construct a box out of a piece of paper that maximizes volume using a table and by using graphing and calculus techniques.
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Linear Systems: Geometric Interpretation of Eigenvalues
In this geometric interpretation worksheet, students prove the exponentiation of a matrix and the Eigenvalues of an inverse. This two-page worksheet contains explanations, examples, theorems and two problems for students to solve.
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Linear Systems: Applications of Linear Algebra to Differential Equations
In this differential equations worksheet, learners solve systems of simultaneous differential equations using linear algebra. This six-page worksheet contains approximately six problems, with explanations and examples.
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Linear Systems: The Column Space
For this column space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples of and explanations. One problem is provided for students to complete.
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Linear Systems: Orthogonality of Vector Spaces of a Matrix
In this vector spaces of a matrix worksheet, students decompose any vector into two orthogonal pieces. They identify the nullspace, row space, and find a reduced echelon. This two-page worksheet contains examples and two problems.
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Linear Systems: General Solutions
For this linear system worksheet, learners explore the characteristics of given matrices. They multiply matrices and determine pivots and multiply solutions. This four-page worksheet contains approximately seven problems.
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Linear Systems: Orthogonal Matrices
In this orthogonal matrices worksheet, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page worksheet contains approximately six...
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Rate Equation
In this rate equation worksheet, students use Euler's method to estimate the value of rate equations. They use the piecewise linear function approximation to determine the solution of an initial value problem. This two-page worksheet...
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Relationship of Sets
In this relationship worksheet, students compare sets and determine the relation of the set. They identify sets as symmetric, anti-symmetric, reflexive or transitive. This one-page worksheet contains six problems.
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Properties of Real Numbers Reference Chart
In this algebra worksheet, students reference the six properties of real numbers over multiplication and addition in an easy to read format. There are 10 examples.
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Numerical Integration
In this numerical integration instructional activity, students find intervals and subintervals. They identify pictures and name the approximate integral. This two-page instructional activity contains approximately 25 problems.
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Introduction to Vector Spaces
In this vector spaces instructional activity, students identify the vector in a given set. They explore addition and scalar multiplication in their vectors. This two-page instructional activity contains 13 problems.
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MATH VOCABULARY
Students will produce a 2-3 minute video that will examine, explore and explain one vocabulary word or math concept. Videos will be presented to class and scored on completion, quality and creativity.
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Line of Best Fit
Students explore the concept of linear regression. In this linear regression lesson, students do a Barbie bungee activity where they collect linear data. Students plot their data using a scatter plot. Students determine a line of best...
Alabama Learning Exchange
Ellipse
Students explore the concept of ellipses. In this ellipses instructional activity, they construct ellipses on their paper and follow directions on a worksheet that allow them to investigate an ellipse in more depth by looking at the...
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Linear Systems and Echelon Forms
Eleventh graders define various types of linear systems and three types of solutions. In this linear system and echelon forms lesson, 11th graders solve a linear system using elementary row operations. Students also describe the set of...
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Dimension and Rank
Students determine the dimension of a subspace. In this dimension and rank instructional activity, students explore the dimension of a vector space. They compare and explore the relationship in a matrix.
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Radical Transformations
Students transform the square root function graphically. In this transforming the square root function graphically instructional activity, students use their Ti-Nspire to change the a, b, and c values of th square root graph. Students...
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The A.H.S.M.E.
In this secondary mathematics worksheet, students determine all the parameters by which a student could score 112 points on the American High School Mathematics Examinations. The one page worksheet contains one problem with solution.
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