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Eighteen Matrix Operations Questions
In this matrix operations worksheet, students use matrix operations (adding, subtracting, multiplying) to simplify eighteen matrices, if possible. Solutions are provided.
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Solving Nonlinear Systems of Equations
In this nonlinear systems of equations worksheet, students solve nonlinear equations through elimination. They read statements, write equations, and solve systems of equations. This two-page worksheet contains 20 multi-step problems.
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Maximum Volume of a cuboid and open-topped box
In this Algebra II/Pre-Calculus learning exercise, students investigate the maximum volume of a cuboid and the maximum volume of an open-topped box. Additionally, students determine the acceptable size for boxes to meet parcel service...
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Minimize Surface Area of a Cylinder Given the Volume
In this cylinder worksheet, students minimize the surface area given a set volume. Students supply the height and radius of the can with the smallest surface area.
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Adding and Subtracting Matrices
In this adding and subtracting matrices worksheet, students add 2 sets of matrices and subtract one. They are introduced to the rules of adding and subtracting matrices.
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Area and Measurements
Students measure the area using feet and yard. In this algebra lesson, students draw and manipulate shapes to calculate the area. They measure the relationship of area between the two units.
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Measuring the Classroom
Students measure their classroom and determine the area. They discuss the margin of error. Each class member will write up their results separately. Students must decide what measurements to make, and attempt to measure accurately.
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Play Dough Day
Twelfth graders build a model of the following figures with the base from column I and the cross-section from column II. Draw the base with labeled axes on the graph paper and construct the figure on top of the base with the play dough...
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Numerical Analysis: Discrete Least Squares
In this discrete least squares worksheet, students use a linear algebra approach to discrete last squares approximation. This two-page worksheet contains approximately 10 problems.
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Math 155 - Worksheet 13. Intervals
In this interval worksheet, students find the intervals of increase and decrease and all local extrema. They sketch a graph of the function and describe the intervals of concavity and all inflections points. This two-page worksheet...
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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: Vector Spaces
In this vector spaces worksheet, students explore the column and rowspace of a matrix. They find the basis of subspaces associated with a given matrix. Students observe the relationship between vectors and the nullspace. This...
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Linear Systems
For this linear systems worksheet, students explore the effect of two identical columns in a matrix on the null space of the matrix. They consider the column space of a matrix. Students compare the column space of a matrix to the column...
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Multiplying a Polynomial by a Monomial
For this multiplying polynomials worksheet, students solve and complete 13 different problems that include monomials. First, they use the distributive property to multiply a polynomial by a monomial. Then, students find each product and...
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Integration
In this calculus worksheet, students simplify integrals and solve problems that involve related rates and maximum and minimums. The one page worksheet contains twenty-three problems. Solutions are not provided.
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How To Organize Data into Matrices
In this matrix activity, students organize given data into matrices and answer questions from given matrices. Explanations, definitions, and examples are provided.
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Determinants: 2x2 and 3x3 Matrices
For this Algebra II worksheet, 11th graders find the determinant of 2x2 or 3x3 matrix and use the determinant to find the inverse of the matrix. The two page worksheet contains explanation of topic, a worked example, and three practice...
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Matrices
In this Algebra II worksheet, 11th graders determine if matrices are inverses, multiply matrices, and solve matrix equations. The three page worksheet contains explanation of topic, worked examples, and five practice problems. Answers...
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Polynomial Functions
For this Algebra II worksheet, 11th graders use a graphing calculator to determine the regression equation of the given data, graph polynomial functions, factor polynomials, and determine the quotient and remainder in polynomial...
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Rational Expressions Test with a Calculator
In this rational expression worksheet, students graph rational equations, evaluate limits, state intercepts, asymptotes, and roots and factor. This worksheet is designed as a test to be completed with a calculator.
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The Box Problem
Pupils create graphic, algebraic and verbal ideas of functions. In this algebra lesson plan, students graph functions and identify the zeros of the functions. They find the domain and range and classify functions as relation or not.
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Slippery Slope
Students define patterns, relation and function. In this algebra lesson, students find the slope of a line and write equations of line. They model the slope using real life scenarios.
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Optimization For Breakfast
Pupils identify he proportion of a cereal box. In this algebra lesson, students define the relationship between patterns, functions and relations. They model their understanding using the cereal box.
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Beginning Modeling for Linear and Quadratic Data
Pupils create models to represent both linear and quadratic equations. In this algebra lesson, students collect data from the real world and analyze it. They graph and differentiate between the two types.
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