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Linear Graphs and Equations 5.1
In these identifying coordinates on a grid, linear graphs, and equations worksheets, 6th graders draw the shapes and letter, complete a table and use it to draw a graph, calculate gradients of lines, determine equations of lines, solve...
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Point of Intersection
In this algebra learning exercise, students graph two linear equations identifying where they cross and how many solutions there are. There are 4 questions with an answer key.
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Tiles, Balances and Equations
In this algebra instructional activity, learners solve systems of equations using elimination or linear combination. There are 24 questions with an answer key.
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 9)
Section 9 of the 12 linked Saxon Math sections introduces the young algebrist to graphing periodic functions, creating graphs from quadratic roots, working with inequalities, and rational equations. Common among all the lessons is the...
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A Point of Intersection
Students factor and solve systems of equation. In this algebra lesson, students identify the point of intersection using substitution, elimination and graphing. They write an equation given a system and a graph.
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Whose Line is it Anyway?
Students solve systems of equations. In this algebra activity, students identify the domain and range of each function. They use the slope and y-intercept to graph each line.
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Solutions, Solutions, Could it Be?
Students graph and solve linear system of equations. In this algebra lesson, students use algebraic and graphing methods to solve their systems. They find the point of intersection for their solution and draw inference from their data.
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Count the Differences
Pupils find the difference between consecutive y-values on the calculator and write an equation that fits the data. They continue finding the differences in consecutive y-values using lists on their calculator. Learners...
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Linear Systems: The Column Space
In 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: Eigenvalues and Eigenvectors
In this "Eigenvalues and Eigenvectors" instructional activity, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page instructional activity contains two multi-step problems.
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Linear Systems: Symmetric Matrices
In this symmetric matrices worksheet, learners explore the characteristics of symmetric matrices. This two-page worksheet contains examples and explanations concerning symmetric matrices. Two problems are provided to solve.
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Linear Systems: Applications of Eiginvalues
In this Eigenvalue and Eigenvector learning exercise, students examine the applications of matrix exponentiation. This four-page learning exercise provides explanations and examples, as well as three problems to complete.
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Linear Systems: Nullspace Matrix and Rank
In this nullspace matrix worksheet, students observe the rank and number of independent rows and columns a matrix has. They compute the product of matrices and describe the column space of each. This two-page worksheet contains...
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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: LU Decomposition
In this LU decomposition worksheet, students multiply matrices, identify the elimination matrices, and the inverse of a matrix. This three-page worksheet contains approximately six problems.
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Linear Systems: Diagonalizing a Matrix
In this diagonalizing a matrix worksheet, students explore matrix factorization and use diagonal decomposition. This two-page worksheet contains examples, explanations and four practice problems.
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Linear Systems: Applications of Determinants
In this determinant instructional activity, students explore determinants, area and volume. This two-page instructional activity contains explanations and examples. It provides two problems for students to solve.
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Linear Systems: Vector Spaces and Subspaces
In this vector space instructional activity, students find the column space of given matrices, the identify the vector space and determine if the matrix is invertible. This four-page instructional activity contains approximately six...
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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 Systems: Reduced Row Echelon Matrix
In this echelon matrix worksheet, students find the nullspace of matrices by finding the reduced row echelon. This two-page worksheet contains explanations, examples and six problems to complete.
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Linear Systems: Projections
In this projection activity, students determine the projections of a given matrix. This four-page activity contains explanations and examples and approximately ten problems to complete.
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Worksheet 1, Basic Calculus Pre-Course Review
In this calculus worksheet, learners review topics they need to already understand in order to be successful in a basic calculus course. Topics include functions, linear equations, coordinate graphing, piece-wise formulation, exponents,...
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Grab Bags
Eighth graders graph two inequalities with a single variable. They include drawing the intersection or union of inequalities on a number line. Students solve the linear equations using properties of equality and inequality. The lesson...
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Using Inequalities to Problem Solve
Students explore inequalities. In this Algebra I instructional activity, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division. Students use inequalities to solve and graph...