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Linear Systems: Vector Spaces and Subspaces
In this vector space worksheet, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page worksheet contains approximately six multi-step problems.
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Equation of a Line
In this equation of a line activity, 9th graders solve and complete 4 different multiple choice problems. First, they use the median fit method to determine the equation that most likely represents the line of best fit for the data shown...
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Computer Passwords
Students determine an appropriate numerical representation of a problem situation, including roots and powers. They determine an appropriate number of digits to represent an outcome. Pupils are asked to determine how many years it...
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Multivariable Calculus: Linear Systems
In this linear system instructional activity, students compute the determinant of a given matrix. They solve systems of equations and compute the inverse of a matrix. This two-page instructional activity contains examples,...
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Linear Systems Review Problems
For this linear systems worksheet, students identify the requirements for two linear systems to have at least one solution. They find a matrix with no zero entries that has the given fully reduced form. Students use row reduction to...
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Addition and Subtraction Formulas 1
Show budding mathematicans how to find the sine of pi over 12. The third lesson in a series of 16 introduces the addition and subtraction formulas for trigonometric functions. Class members derive the formulas using the distance...
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Academic Algebra II Test Chapter 4, Part 2
In this test of knowledge activity, students answer 2 story problems, they solve 6 systems of equations. Students multiply 2 maxrix sets. They determine the inverse of two matrices. Students determine the linear regression line for two...
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Cramer's Rule
In this Cramer's Rule worksheet, students first evaluate five determinants or square matrix. Then they solve the last five problems by applying Cramer's Rule. Students identify and define Cramer's Rule as a theorem used with linear...
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Linear Algebra
In this linear algebra worksheet, students solve 3 different sets of problems that include rank, dimension, nullspace and range of linear algebra. They determine the relation between the rank of a matrix and the dimension of its range....
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Heat Index Formula
In this heat index formula worksheet, students find the heat index for 3 scenarios. Students use matrix multiplication to determine the heat index given temperature and relative humidity.
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Circular Convolution
In this circular convolution worksheet, students solve and complete 6 different problems related to determining the circular convolution. First, they plot a point and describe its effect of convolution with high and low frequencies....
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Convolution
In this convolution instructional activity, students solve 8 different problems related to convolution. First, they determine the formulas for eight samples of f and g. Then, students write out the matrix found. In addition, they define...
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The Haar Wavelet Filter Bank
In this Haar Wavelet learning exercise, students solve and complete 4 different problems related to the Haar Wavelet filter bank. First, they define the properties of Haar basis. Then, students compute the matrices for the first, second...
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More on Least Squares
In this least squares worksheet, learners solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...
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Vectors: Follow That Arrow
Vectors and their connection to motion. A video will be presented to provide information for the class to use methods of solving vectors with and without grids. Real-world physical concepts will be explored in reference to vectors.
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Convolution
In this circular convolutions worksheet, students solve 8 different problems that are related to circular convolutions. They let g be defined by an arbitrary vector and determine the formula for 8 samples for f and g. Then, students find...
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Coded Messages
Students solve matrices by multiplication. In this algebra lesson, students create coded messages and relate it to solving matrices. They multiply and find the inverse of matrices.
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Solving Systems with Row Operations 1
Students solve systems of equations. In this algebra lesson, students use matrices to solve linear equations. They use reduced row echelon-form and scalar multiplier to simplify the matrices completely.
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Areas of Polygons
Young mathematicians calculate the area of polygons in this algebra lesson. They find the determinant as they calculate the areas for triangles and quadrilaterals. They also use scalar multiplication to find the determinant.
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Border Patrol
Young scholars investigate systems of linear inequalities as they apply to an area of land. They practice graphing systems and determine if a point lies in the solution.
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Fraction Fun
In this fraction practice worksheet, students use a matrix of different noises found in 5 towns. Students determine what fraction of the towns are experiencing noise problems and write the fraction for each town.
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Collecting Ball Bounce Data
Learners investigate quadratic equations as they use a CBR to collect and analyze data regarding a bouncing ball. Pupils explore different methods for determining the equation of the parabolic path including quadratic regression and...
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The Right Angle
In this algebra worksheet, 11th graders solve word problems creating a right triangle. Students determine the point and direction this turn of ninety degrees occurs. There are 4 questions with an answer key.
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Food Labels
Students study Nutrition Facts labels. In this life science lesson, students explore Nutrition Facts labels, then determine and analyze the nutrients found in a variety of foods. Additionally students construct bug boxes used to collect...