Curated OER
Linear Systems: Linear Equations, Vectors and Matrices
In this matrices worksheet, students write matrix notation to represent linear systems. This four-page worksheet contains approximately 15 problems.
Curated OER
NUMB3RS Activity: Fresh Air and Parabolas
Explore parabolas and investigate linear and quadratic functions to solve problems symbolically and graphically. Also use parametric functions to display trajectories on a graphing calculator.
Curated OER
Transformations and Matrices
There are four activities in this extensive lesson covering the identity matrix and scaling, the linear representation of translations, the linear representation of rotations, and reflections. In small groups, they use the Cabri II...
Curated OER
Introduction to Linear Algebra 1.3
In this linear algebra worksheet, students write down the system that arises from the vector equation stated. Then they apply the Gaussian elimination method to solve their system. Finally, students explain their conclusion and answer...
Curated OER
Linear Systems: Vector Spaces
In this vector spaces worksheet, students explore the column and rowspace of a matrix. They find the basis of subspaces associated with a given matrix. Students observe the relationship between vectors and the nullspace. This...
Curated OER
NUMB3RS Activity: Riding the Waves
High schoolers use the TI-Navigator system to explore vector fields and make predictions. They also identify what a vector field is and that it represents the movement of water. Pupils try to determine where a bottle floating might have...
Curated OER
Dynamic Algebra
Explore 5 classical problems of algebra. They will solve problems involving Heron's formula, fractional equations, vector equations, apollonius' sphere, and transversals. The idea is to lead to new perceptions and visual thinking.
Mathed Up!
Translations
Introduce translations as transformations that move figures in horizontal and vertical distances with a video that shows how to translate the figures. A second video covers how to determine the translation that has occurred. Pupils work...
Concord Consortium
Line of Sight
There's no way around it—learners must use trigonometry to model the line of sight around a race track! Using the starting line as the origin, pupils model the straight line distance to any car using a trigonometric expression. The...
Curated OER
Quaternions
In this quaternions worksheet, students solve and complete 7 different problems. First, they read and identify quaternions as expressions in a given form of ordinary real numbers. Then, students add and subtract a few problems by doing...
Curated OER
Linear Systems: Lengths and Dot Products
For this dot product worksheet, students explore the multiplication of vectors. This two-page worksheet contains explanations, examples, and approximately ten problems.
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.
Curated OER
Linear Systems: Linear Equations
For this linear systems worksheet, students use a matrix to represent linear systems. This four page worksheet provides examples, explanations and approximately eight problems to complete.
Curated OER
Working with Wavelets
In this working with wavelets worksheet, students solve 7 various problems that include working with different wavelets in each. They compute the synthesis given two segments and y, describing what they observe. Then, students plot...
Curated OER
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...
Lane Community College
Review Sheets: Trigonometry
Review guide, practice test, homework packet? Yes, yes, and yes as it's all possible with a wonderful trigonometry packet. Every type of problem is there, starting from the unit circle and ending with conic sections.
Curated OER
Introduction to Linear Algebra 2.1
In this linear equation instructional activity, students identify the vector space of a given matrices and find the appropriate system of equations for each of four solutions. Then they solve the system and write their conclusion.
Curated OER
Transformations
In this algebra worksheet, students identify different transformations based on the x and y axis reflections. They use vectors to do their translations. There are 28 questions.
Curated OER
Linear Systems: Independence, Basis and Dimension
In this basis and dimension worksheet, students explore vector spaces associated with rectangular matrices. The two-page worksheet contains approximately 20 short answer questions.
Curated OER
Linear Systems: Orthogonal Matrices
In this orthogonal matrices worksheet, students explore characteristics of an orthogonal matrix. They use Gram-Schmidt to convert linearly independent vectors to orthonormal vectors. This three-page worksheet contains approximately six...
101 Questions
Blob Jump
For every action, there is an equal and opposite reaction. In the case of the blob, that reaction is a trip several feet in the air! Learners begin by watching the world-record blob jump. They then analyze the flight of the person using...
Curated OER
Linear Systems: Fundamental Theorem
In this fundamental theorem activity, student explore the nullspace and column space of given matrices. They explore the vectors needed to make it linearly independent and construct free variable columns. This two-page activity...
Curated OER
Linear Systems: Projections
In this projection learning exercise, students explore the intuition behind projections. They calculate the length using the norm and find the projection of a vector. This two-page learning exercise contains approximately five problems.
Curated OER
Linear Systems: Projections
In this projection worksheet, learners determine the projections if a given matrix. They take a vector and project it onto a line and subspace. This four-page worksheet contains examples and approximately seven problems.
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