This task has students experiment with the operations of addition and multiplication, as they relate to the notions of rationality and irrationality.

Good science starts with a question. Using inquiry science, children discover answers to their questions in the same way that scientists do — with experiments, predictions, observations, and conjectures.

Explore an active area of research in optical physics: producing designer pulse shapes to achieve specific purposes, such as breaking apart a molecule. Carefully create the perfect shaped pulse to break apart a molecule by individually manipulating the colors of light that make up a pulse.

Did you ever imagine that you can use light to move a microscopic plastic bead? Explore the forces on the bead or slow time to see the interaction with the laser's electric field. Use the optical tweezers to manipulate a single strand of DNA and explore the physics of tiny molecular motors. Can you get the DNA completely straight or stop the molecular motor?

Did you ever imagine that you can use light to move a microscopic plastic bead? Explore the forces on the bead or slow time to see the interaction with the laser's electric field. Use the optical tweezers to manipulate a single strand of DNA and explore the physics of tiny molecular motors. Can you get the DNA completely straight or stop the molecular motor?

This course provides an introduction to optical science with elementary engineering applications. Topics covered in geometrical optics include: ray-tracing, aberrations, lens design, apertures and stops, radiometry and photometry. Topics covered in wave optics include: basic electrodynamics, polarization, interference, wave-guiding, Fresnel and Fraunhofer diffraction, image formation, resolution, space-bandwidth product. Analytical and numerical tools used in optical design are emphasized. Graduate students are required to complete assignments with stronger analytical content, and an advanced design project.

Deze cursus bestaat uit lesmodules te gebruiken in de bovenbouw van het Havo en het VWO met als onderwerp Optimaliseren in netwerken. Het materiaal is gemaakt door een kerngroep van vwo-docenten, aangevuld met universitaire medewerkers. Docenten kunnen er invulling mee geven aan het domein "Wiskunde in wetenschap" van het vak wiskunde D.

This course introduces the principal algorithms for linear, network, discrete, nonlinear, dynamic optimization and optimal control. Emphasis is on methodology and the underlying mathematical structures. Topics include the simplex method, network flow methods, branch and bound and cutting plane methods for discrete optimization, optimality conditions for nonlinear optimization, interior point methods for convex optimization, Newton's method, heuristic methods, and dynamic programming and optimal control methods.

Introduces students to the theory, algorithms, and applications of optimization. The optimization methodologies include linear programming, network optimization, dynamic programming, integer programming, non-linear programming, and heuristics. Applications to logistics, manufacturing, transportation, E-commerce, project management, and finance.

Using their knowledge of the phases of matter, the scientific method, and polymers, student teams work as if they are chemical engineers to optimize the formula for slime. Hired by the fictional company, Slime Productions, students are challenged to modify the chemical composition of the basic formula for slime to maximize its "bounce factor."

Students work in engineering teams to optimize cleaner energy solutions for cooking and heating in rural China. They choose between various options for heating, cooking, hot water, and lights and other electricity, balancing between the cost and health effects of different energy choices.

Student groups work with manipulatives—pencils and trays—to maximize various quantities of a system. They work through three linear optimization problems, each with different constraints. After arriving at a solution, they construct mathematical arguments for why their solutions are the best ones before attempting to maximize a different quantity. To conclude, students think of real-world and engineering space optimization examples—a frequently encountered situation in which the limitation is the amount of space available. It is suggested that students conduct this activity before the associated lesson, Linear Programming, although either order is acceptable.

In this video lesson, students will learn about linear programming (LP) and will solve an LP problem using the graphical method. Its focus is on the famous "Stigler's diet" problem posed by the 1982 Nobel Laureate in economics, George Stigler. Based on his problem, students will formulate their own diet problem and solve it using the graphical method. The prerequisites to this lesson are basic algebra and geometry. The materials needed for the in-class activities include graphing paper and pencil. This lesson can be completed in one class of approximately one hour. If the teacher would like to cover the simplex algorithm by George Dantzig as an alternative solution method, an additional whole class period is suggested.

Gives students the necessary language skills to successfully employ Spanish in a variety of social situations. Focuses on oral communication and uses popular media for listening practice. Student projects involve reading, oral presentations, and classroom interaction. Emphasizes communication skills needed by students in engineering and management for work in Latin America or Spain. Taught in Spanish. A second-year intermediate course that includes vocabulary enhancement and limited review of selected points of grammar. Focuses on listening comprehension and speaking, with group activities, discussions and individual oral reports based on readings, films, music and art.

This course focuses on developing oral presentation skills through practice, self-evaluation, and in-class feedback. Topics include slide preparation, answering difficult questions, explaining technical details and presenting to a general audience.

Based on this model oral history experience, the toolkit includes instructional concepts, ideas, and strategies for use by educators to design a curriculum that reflects their instructional goals and the needs of their students while appreciating Vietnam veterans in their community.

This short video and interactive assessment activity is designed to teach fourth graders about which compound unit is longest? (english units).

This short video and interactive assessment activity is designed to teach fourth graders about which compound unit is shortest? (english units).

This short video and interactive assessment activity is designed to teach fourth graders about arranging numbers in specific orders.

In this ordering task each number has at most 3 digits so that students have the opportunity to think about how digit placement affects the size of the number.