Investigate the results of multiple translations on an image. Scholars use vectors to perform a sequence of translations in the seventh lesson of 18. They examine the results and determine the importance of using a sequence rather than a...

Students explore and explain the role of vaccines in infectious disease, They emphasize immunological principles and viral/bacterial infection processes. Students explore the three main vaccine types: DNA vaccines ("gene gun"),...

How can mathematics help scholars choose a college? High schoolers learn how they can use decision matrices to rank colleges based on selected criteria. They also see how to weigh criteria using multiplication of the decision matrix by a...

Learners work with whole plant material and are not required to measure small quantities, yet they can see evidence of transformed plant cells (plant cells that have genes from bacterial plasmids). This is a laboratory suitable for...

Tenth graders identify and interpret vocabulary terms as they relate to vectors. Students practice translations by creating several tessellations. Students determine the direction and distance using vectors. Students use grid paper to...

In the precalculus learning exercise, students compute vectors and angle directions from given equations. They read and interpret information from three word problems to determine direction, speed, and the velocity vector in navigation...

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...

For this partial derivatives worksheet, students find formulas for the vector partial derivative of a function. They prove that an elliptic cone can be represented parametrically. This two-page worksheet contains explanations,...

In this review for midterm, students use parametric equations to find points on a curve, explore conic sections, write vector functions, and sketch cylindrical coordinates. This two-page review contains 10 multi-step problems.

Students solve problems involving electric charges and force. In this physics lesson, student solve word problems using addition and subtraction of vectors. They identify the direction represented by a vector as it relates to an electric...

In this math instructional activity, students explain the vector parametric equation for a line, scalar parametric equations, symmetric equations, and the implicit equation for a line.

In this quaternions activity, 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...

In this physics assessment, students complete a series of multiple-choice and short-answer questions on altitude, velocity, and energy.

In this trigonometric learning exercise, students examine trig functions dealing with directions and decide whether the functions are linear or not. There are 13 matrices to be analyzed with an answer key.

In this path integral learning exercise, students compute line integrals under given conditions, define vector fields, and explore gradient fields, as well as a potential function. This two-page learning exercise contains five problems.

In this Euclidean geometry worksheet, students determine if planes are parallel or perpendicular to each other. They identify the vector position. This two-page worksheet contains definitions, examples and explanations of how to do the...

In this dot product learning exercise, students explore the multiplication of vectors. This two-page learning exercise contains explanations, examples, and approximately ten problems.

In this math worksheet, students practice finding the vector spaces associated with the rectangular matrices. Then they find the complete solutions to the given equation using a matrix.

Middle and high schoolers use the Pythagorean Theorem to complete a table showing with the magnetic field strengths in given cities. They find the average value of the Earth's magnetic field and plot one of the three-dimensional values...

Here is a different approach: emerging epidemiologists first go home to interview family on the topic of infectious disease. Then they come to class and view a video and PowerPoint that explore how climate change may increase the...

Investigate force, acceleration, Newtons, and vectors with this worksheet packet that starts with an overview fact sheet for reference. Learners label images as either push or pull forces, indicating if the force causes a change in...

Here is a collection of readings to be discussed in the science classroom. This one is in the form of a dialog between two boys in an amusement park, talking about the forces involved in a Graviton ride. Questions are listed at the...

This textbook takes the learner from the basic definition of slope through derivatives, integrals, and vector multivariable calculus. Each section is composed primarily of examples, with theoretical introductions and explanations in...

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...