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.

Learners investigate properties of similar figures. In this properties of similar figures lesson, pupils construct similar figures using Cabri Jr. They dilate their figure to create a similar one, and discuss the relationships between...

In this calculating intervals worksheet, students calculate intervals using Stokes' Theorem. They justify their answers with words and pictures. This two-page worksheet contains 3 multi-step problems.

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...

Those who take this challenge will draw force diagrams and then calculate velocities and displacement. The problems are applicable to any general physics curriculum that covers motion. Add this to your collection of homework...

Let's get moving! Newton juniors solve 19 problems using force, speed, and acceleration equations. This is a nifty worksheet that includes a few diagrams and multiple choice selections for each question. It provides the straightforward...

In this math worksheet, students define the sets of vectors. They also observe the concept of area for the parallelogram and how vectors are used.

In this math worksheet, students draw two vectors u and v based at the same point. The vectors are considered neither parallel nor orthogonal.

In this math activity, students find the values of the vectors. They also they prove that v and w are both orthogonal and find two nonparallel vectors.

In this math activity, students fill in the missing boxes while investigating the concept of vectors. They determine if two vectors are orthogonal or parallel.

In this math learning exercise, students consider a path around the unit circle parameterized by σ on the interval [0, 1] with σ(t) = sin(5πt − π), cos(5πt − π). Then they find the vector.

In this math learning exercise, students plot the course for a ship traveling from one point to another using two Cartesian coordinates. Then they plot the vector of the course.

In this math learning exercise, learners investigate the given vectors. Then they apply the knowledge to prove the formula for the triangle formed by them.

In this math worksheet, students investigate vectors and polar coordinates. They convert the paths of polar coordinates to Euclidian points.

In this planes worksheet, students consider the position of given vectors and find the vector equation of a plane. They identify the points that lie on a plane and determine the equation of a line through given points. This two-page...

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...

In this math worksheet, students examine the similarities between three-dimensional geometric vectors and Fourier series. Then they write proofs for some of the equations.

In this dot and cross product worksheet, students identify vector points under given conditions determine vertical support and determine angles of an object. This two-page worksheet contains two problems.

Students examine nautical navigation and discover the differences between nautical charts and other types of maps or charts. Students practice setting a course, taking a bearing, and dead reckoning. This gives students an example of...

In this circular convolutions worksheet, students solve 8 different problems that are related to circular convolutions. They let g be defined by an arbitrary vector and determine the formula for 8 samples for f and g. Then, students find...

In this math worksheet, students imagine a situation where a weight is attached to a string and it is swung in a circle. Then they use vectors and derivatives to describe the motion.

For this polar form worksheet, students write complex numbers in polar form. They draw an Argand diagram containing vectors and draw sketches representing in a coordinate plane. This two-page worksheet contains thirteen multi-step...

In this dot product instructional activity, students consider vectors, find the value of an angle, and confirm the area of a given parallelogram. This two-page instructional activity contains three problems.

Everything from pens to cars use springs — some are just on a larger scale! An interactive simulation encourages pupils to stretch and compress springs while observing the changes to force, displacement, and potential energy. Then they...