5280 Math
Pythagorean Triples
From Pythagorean triples to the unit circle. Learners use the Pythagorean Theorem to find Pythagorean triples and then relate their work to the unit circle in a fun algebra project. Their discovery that x^2+y^2 is always equal to one on...
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A Special Relationship
Learners discover the relationships of the lengths of the sides of right triangles and right triangles using a series of drawings on dot paper. They investigate and solve problems of standard (customary and metric units) and non-standard...
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Converting Measurements
Sixth graders convert customary linear measurements. They explore using ratios to convert from inches to feet, ounces to pounds, etc. In groups, 6th graders complete conversions. They explain to the class how to solve their problems.
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Linear Systems
In this multiplication of vectors worksheet, students prove that the dot product operation is commutative. They normalize a vector so it has the same direction with a magnitude of one. Students use the angle formula to confirm...
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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...
Pennsylvania Department of Education
Alike and Different
Learners compare and contrast objects and are introduced to a Venn Diagram. In this alike and different lesson, students make observations regarding properties of objects. Learners classify object and build ideas about variables....
Curated OER
Linear Systems: Permutations and Transposes
In this permutations worksheet, students identify a transpose matrix, and create a permutation matrix. This three-page worksheet contains six problems.
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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: 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" activity, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page activity contains two multi-step problems.
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Linear Systems: Symmetric Matrices
In this symmetric matrices worksheet, students 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 worksheet, students examine the applications of matrix exponentiation. This four-page worksheet provides explanations and examples, as well as three problems 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: 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 activity, students explore matrix factorization and use diagonal decomposition. This two-page activity contains examples, explanations and four practice problems.
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Linear Systems: Applications of Determinants
In this determinant activity, students explore determinants, area and volume. This two-page activity contains explanations and examples. It provides two problems for students to solve.
Curated OER
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.
Curated OER
Linear Systems: Definition of the Nullspace
In this nullspace instructional activity, students find the nullspace of matrices, write a rectangular matrix upper-triangular form, and convert augmented matrix to echelon form. This six-page instructional activity contains...
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Linear Systems: Reduced Row Echelon Matrix
For 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.
Curated OER
Linear Systems: Projections
In this projection worksheet, students determine the projections of a given matrix. This four-page worksheet contains explanations and examples and approximately ten problems to complete.
Curriculum Corner
8th Grade Math Common Core Checklist
Ensure your eighth graders get the most out of their math education with this series of Common Core checklists. Rewriting each standard as an "I can" statement, this resource helps teachers keep a record of when each standard was...
5280 Math
Triangle Area Patterns
Combine algebraic and geometric strategies to find solutions. The task asks learners to find the coordinates of a third vertex of a triangle to create a triangle with a specific area. The project is a set of seven problems that...
CCSS Math Activities
Smarter Balanced Sample Items: 8th Grade Math – Claim 3
Communication is the key. A dozen sample items require scholars to communicate their reasoning involved in arriving at a solution. The PowerPoint from the Gr. 8 Claim 2 - 4 Item Slide Shows series uses a variety of content to...
Rochester Institute of Technology
Skateboard Assembly - Cycle Time
Assemble a great lesson on assembly lines. In the first installment of a nine-part technology/engineering series, future entrepreneurs learn about the manufacturing process, specifically about the assembly line and cycle time. The lesson...
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