Use the Law of Cosines and the Law of Sines to solve problems using the sums of vectors. Pupils work on several different types of real-world problems that can be modeled using triangles with three known measurements. In the process,...

Why do planets orbit the sun in ellipses when moons orbit their planet in circles? Pupils control the semi-major axis, eccentricity of the orbit, and position angle. The resulting orbital appears with the related force vectors as...

Gravity does more than keep our feet on the ground — it holds a satellite in orbit, too. Help learners understand the effects of gravity on an orbiting object through a simulation activity. Individuals adjust a launch speed and watch as...

Twelve pages of mostly multiple-choice questions comprise this comprehensive New York Regents physics exam. It covers an entire year's worth of physics curriculum and requires about three hours for completion. Review the questions to...

In this math worksheet, students analyze two vector fields. They tell which of the vector fields is the scaler field for the given function. Students draw solution curves to match the differential equations represented in the illustrations.

In this math worksheet, students work with three dimensional graphing. The application problems include surface ships on maneuvers determining a submarine's course, helicopter travel, and proving that four points are coplanar. Students...

Students simulate the motion of a fly ball with different winds. They use a partner to provide the simulated wind. Students draw a baseball diamond and the field on a piece of paper. They drag the pen across the paper to show the path of...

In this projection activity, students determine the projections of a given matrix. This four-page activity contains explanations and examples and approximately ten problems to complete.

Students discuss and give examples of Newton's three laws. They then answer questions in reference to Newton's three laws. One example of the questions that students answer is: A water-skier typically uses a 75 foot tow rope. The skier...

Young scholars discuss the conservation of momentum in a collision between two bumper cars. They are given the equation for momentum. Students then solve problems using the equation for momentum.

Students describe an everyday situation which demonstrates Newton's Third Law. They state Newton's Third Law;"Every action has an equal and opposite re-action, or every force has an equal and opposite force" in their own words. ...

In 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.

Students study the history of kites and their fundamental properties.  For this kites lesson students divide into teams and build and fly kites. 

In this convolution worksheet, students solve 8 different problems related to convolution. First, they determine the formulas for eight samples of f and g. Then, students write out the matrix found. In addition, they define the...

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...

In this Haar Wavelet worksheet, students solve and complete 4 different problems related to the Haar Wavelet filter bank. First, they define the properties of Haar basis. Then, students compute the matrices for the first, second and...

For this gradient worksheet, students explore the definition of differentiable and gradient. They find the tangent approximation of given situations, and determine the directional derivative. This two-page worksheet contains examples,...

For 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...

In this least squares worksheet, students solve 3 different problems that include determining the least squares of equations. First, they use the data given in the table to write out the normal equations a system of 2 equations in 2...

In this circular convolution worksheet, students solve and complete 6 different problems related to determining the circular convolution. First, they plot a point and describe its effect of convolution with high and low frequencies....

Discover the extension of parametric equations to model linear transformations. Scholars first write parametric equations to model lines through two points. They then find the parametric equations that represent a linear transformation.

Assess your classes' knowledge using questions that require high-level thinking and explanation. Learners use matrices to answer application questions. They also demonstrate their understanding of matrix operations.

Test takers stressing out over the upcoming exam? Help them prepare for the AP Physics i exam with this fast-paced video that includes a complete guide to everything related to kinematics. Also included are some common errors...

If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...