Assess pupil understanding of the relationship between matrices, vectors, linear transformations, and parametric equations. Questions range from recall to more complex levels of thinking. Problems represent topics learned throughout the...

What kind of pears do electricians eat? Amperes! Presentation begins with electric field vectors for various charge configurations and field strengths for both point charges and uniform fields. It continues with various surfaces,...

Who's driving that car? Science is! Through a simulation, learners adjust the magnitude and angle of motion on a driverless car. Two different motions create a resultant motion. Vectors represent the motion and graphs depict the...

Don't stop with two-dimensional learning, go to the next dimension! Learners verify that 3x3 matrices represent linear transformations in the third dimension. Additionally, they verify the algebraic properties that extend to vector...

Discover how to calculate the expected value of a random variable. In the seventh installment of a 21-part module, young mathematicians develop the formula for expected value. They connect this concept the dot product of vectors.

Explore behavior of particles that cannot be seen with a detailed PowerPoint presentation that outlines the basics of electrostatics. The presentation addresses the charge of subatomic particles, conductors and insulators,...

An interactive lesson explores the effect of force angles on resulting forces. Learners adjust angles of strings supporting hanging portraits and watch the effects on the resultant force. Vector diagrams provide a visual representation...

In this gradient field learning exercise students draw vectors which correspond to the gradient. They sketch vector fields and identify functions as a vector field or gradient fields. This two-page learning exercise contains...

In this vector spaces and subspaces worksheet, students review column spaces of matrices. They determine if the set of all 2 by 2 matrices is a vector space. Students determine if the set of all invertible 2 by 2 matrices is a vector...

In this vectors worksheet, students solve and complete 6 various types of problems. First, they find an equation of a sphere with a given center point and endpoint of a radius at the point. Then, students find the scalar and vector...

In this vector field worksheet, students explore the properties of conservative vector fields. They solve problems for a given field. This two-page worksheet contains explanations, examples and five equations.

In this vector space matrix learning exercise, students decompose given vectors into two orthogonal pieces--one from the nullspace and another from the row space. this two-page learning exercise contains examples and approximately five...

Your classes become video game designers for a day! They utilize their matrices, vectors, and transformation skills to create and design their own game images. The complex task requires learners to apply multiple concepts to create their...

Need to gauge your pupils' understanding before the lesson begins? A base assessment includes short answer and drawings to determine pupil knowledge. Advanced assessment covers vector addition.

In this vector function worksheet, 12th graders identify a helix and a smooth curve. They find the equation of the tangent line to a helical curve. This two-page worksheet contains examples, explanations and approximately four problems.

In this vector space worksheet, students find the column spaces of given matrices. This two-page worksheet contains examples, theorems, explanations, and approximately three problems.

Students imagine the way lines look. In this vector lesson, students recognize how to find a vector equation, Cartesian equation or perpendicular distance. Students find angles between planes. Students complete an activity with...

In this vectors worksheet, students draw vectors on three polar graphs and convert the polar components to rectangular components. They then draw the vector on a rectangular graph to complete the worksheet.

Students explore the length of an n-dimensional vector.  In this Algebra II/Pre-calculus lesson plan, students investigate an expansion of the Pythagorean Theorem to n-dimensional space. 

In this particle model worksheet, young scholars solve and complete 14 various types of problems. First, they find the magnitude of the side or the angle indicated with a question mark for each triangle illustrated. Then, students find...

In this acceleration and velocity worksheet, learners are given a table to complete with position, velocity and acceleration. They draw sketched and vectors of each condition and write a verbal interpretation of the motions. They also...

In this forces worksheet, young scholars read about what affects the force on an object. Students identify push forces and pull forces in 5 diagrams. They answer 13 questions about the forces in two diagrams and they draw vector diagrams...

In this matrices activity, students write matrix notation to represent linear systems. This four-page activity contains approximately 15 problems.

Students describe motion by the use of adding vectors. They identify the difference between the x and y components of vector quantities. Students are given the Paper Bridge Building handout and the instructions as to where to perform...