Assessment
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Inside Mathematics

Quadratic (2009)

For Teachers 9th - 12th Standards
Functions require an input in order to get an output, which explains why the answer always has at least two parts. After only three multi-part questions, the teacher can analyze pupils' strengths and weaknesses when it comes to...
Lesson Plan
Curated OER

Stochastic and Deterministic Modeling

For Teachers 11th - Higher Ed Standards
Explore the difference between stochastic and deterministic modeling through programming. First have the class write algorithms for relatively simple tasks using pseudocode. Use the Python 2.7 program app to simulate Mendel's Pea Pod...
Worksheet
Curated OER

MT-A315 Introduction to Linear Algebra

For Students 11th - 12th
In this math activity, students find the solution to the algebra problem that focuses upon the finding of the nodes and the equations have the solutions written on page 2.
Worksheet
Curated OER

MT-A315 Introduction to Linear Algebra

For Students 11th - 12th
In this algebra worksheet, learners figure out the equation of the general vector, they find the orthogonal basis and apply the formula to solve the problems.
Worksheet
Curated OER

Point of Intersection

For Students 9th - 11th
In this algebra instructional activity, students graph two linear equations identifying where they cross and how many solutions there are. There are 4 questions with an answer key.
Lesson Plan
Virginia Department of Education

How Much is that Tune?

For Teachers 7th - 10th Standards
Tune in for savings! Scholars investigate pricing schemes for two different online music download sites. After comparing the two, they determine the numbers of songs for which each site would be cheaper.
Worksheet
Curated OER

Linear Systems

For Students 11th - Higher Ed
For 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...
Worksheet
Curated OER

Linear Systems: Nullspace Matrix and Rank

For Students 11th - Higher Ed
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...
Worksheet
Curated OER

Linear Systems: Permutations and Transposes

For Students 12th - Higher Ed
In this permutations worksheet, students identify a transpose matrix, and create a permutation matrix. This three-page worksheet contains six problems.
Worksheet
Curated OER

Linear Systems: Geometric Interpretation of Eigenvalues

For Students 12th - Higher Ed
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.
Worksheet
Curated OER

Linear Systems: The Column Space

For Students 11th - Higher Ed
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.
Worksheet
Curated OER

Linear Systems: Eigenvalues and Eigenvectors

For Students 11th - Higher Ed
In this "Eigenvalues and Eigenvectors" worksheet, students find the eigenvalue of a matrix and explore the properties of eigenvalues with a matrix. This two page worksheet contains two multi-step problems.
Worksheet
Curated OER

Linear Systems: Symmetric Matrices

For Students 12th - Higher Ed
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.
Worksheet
Curated OER

Linear Systems: Applications of Eiginvalues

For Students 12th - Higher Ed
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.
Worksheet
Curated OER

Linear Systems: Orthogonality of Vector Spaces of a Matrix

For Students 12th - Higher Ed
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.
Worksheet
Curated OER

Linear Systems: LU Decomposition

For Students 12th - Higher Ed
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.
Worksheet
Curated OER

Linear Systems: Diagonalizing a Matrix

For Students Higher Ed
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.
Worksheet
Curated OER

Linear Systems: Applications of Determinants

For Students 12th - Higher Ed
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.
Worksheet
Curated OER

Linear Systems: Vector Spaces and Subspaces

For Students 12th - Higher Ed
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.
Worksheet
Curated OER

Linear Systems: Definition of the Nullspace

For Students 11th - Higher Ed
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...
Worksheet
Curated OER

Linear Systems: Reduced Row Echelon Matrix

For Students 12th - Higher Ed
In this echelon matrix activity, students find the nullspace of matrices by finding the reduced row echelon. This two-page activity contains explanations, examples and six problems to complete.
Worksheet
Curated OER

Linear Systems: Projections

For Students 11th - Higher Ed
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.
Worksheet
Lane Community College

Review Sheets: College Algebra

For Students 9th - 12th
A jam-packed instructional activity has all the topics you would teach in an Algebra II class with a variety of question styles. Starting with function notation and ending with geometric sequences, there really is something for...
Lesson Plan
Education Development Center

Points, Slopes, and Lines

For Teachers 6th - 9th Standards
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...

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