EngageNY
The Hunt for Better Notation
The matrix — it's not just a movie. The lesson introduces the concept of 2 x 2 matrix multiplication as a way to represent linear transformations. Class members determine when a linear transformation represented as matrix...
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Similarity and Dilations - Discover Properties of Similar Figures
Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...
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Data Analysis
In this data analysis instructional activity, learners solve and complete 6 different problems that include using various types of data analysis. First, they create a stem-and-leaf plot of the ratios shown at the top and determine the...
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Least Squares
In this least squares activity, students solve 6 different problems that include the least squares of numbers. First, they plot 3 points on the axes shown and draw in their best approximating line. Then, students estimate the slope and...
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Operations on Matrices
A guided lesson using the WolframAlpha computer program. The class explores the basic operations of adding, subtracting, multiplying and dividing matrices to solve problems.
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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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Equations and Inequalities
In this equations and inequalities review worksheet, 11th graders solve and complete 100 various types of problems. First, they solve each equation using the quadratic formula or completing the square. Then, students solve using matrices...
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Statistics
For this statistics worksheet, 9th graders solve and complete 10 various types of problems that include using different types of graphs to illustrate data. First, they determine the median score for each stem-and-leaf plot. Then,...
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Using Matrices for Data
In this matrices for data learning exercise, 9th graders solve and complete 29 various types of problems that include using matrices to illustrate data. First, they determine the sum, difference and scalar product for each matrices...
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Matrices
In this matrices worksheet, 9th graders solve and complete 11 different problems that include interpreting various matrices shown. First, they determine the operations that would result in the matrix illustrated. Then, students find the...
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Interpolating Function
In this interpolating function worksheet, students solve 7 different sets of problems that include determining the interpolating function of each. They write out the equations to interpolate with a constant sine and cosine terms. Then,...
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Eigenvalues, Eigenvectors, and Diagonalization
Students determine eigenvectors and eigenvalues for a matrix. Students diagonalize a matrix. Similar matrices are defined. Determinant formula is given for an degree n polynomial.
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MA 439-Math of Image Processing
In this image processing worksheet, students use a matrix to solve ten problems. For the first six problems, students are guided to the answer by carefully sequenced questions. The final four problems require students to make a series of...
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Multiplication of Matrices
In this multiplication instructional activity, students solve ten math problems involving multiplication of matrices. Students find the product of each matrices.
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Linear Algebra
In this linear algebra instructional activity, learners 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...
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Convolution
In this convolution worksheet, 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 the...
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More on Least Squares
In this least squares worksheet, students 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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Matrices and Vectors
In this matrices and vectors learning exercise, students solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then,...
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Matrix Operations
In this matrix operations worksheet, students solve 3 different sets of problems that include matrix operations. They solve each matrices and explain the relation between the computed matrices in each problem. Then, students prove or...
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Matrix operations and Matrix Inverses
Eleventh graders study how to combine like vector's that are matrices. In this matrix operations worksheet, 11th graders combine matrices linearly and define the matrix-matrix product and its properties. Students also study matrix...
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Subtraction of Matrices
In this subtraction of matrices worksheet, 11th graders solve 10 different problems that include subtracting matrices from others. They determine whether each pair of matrices can be subtracted based on their entry size. Then, students...
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Setting up Systems
In this systems of equations worksheet, students solve 2 different problems that include setting up various systems. They compute a given system using matrix operations. Then, students verify that the solution is correct by drawing a set...
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Physics: Eigenvalues
Students solve problems by discovering the eigenvalues that satisfy design questions. They explain how relaxing a small angle approximation can change the solution. Students apply the numerical model of pendulumm motion to solve the...
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Can Chromatography Separate A Pigment?
High schoolers separate a mixture of pigments with ion exchange chromatography and predict whether the ion-exchange matrix is positively or negatively charged based on the type of pigment bonded to the matrix.