Students observe and discuss a vacuum cleaner model of a baghouse to better understand how this pollutant recovery method functions in cleaning industrial air pollution.

Students explore in detail how the Romans built aqueducts using arches—and the geometry involved in doing so. Building on what they learned in the associated lesson about how innovative Roman arches enabled the creation of magnificent structures such as aqueducts, students use trigonometry to complete worksheet problem calculations to determine semicircular arch construction details using trapezoidal-shaped and cube-shaped blocks. Then student groups use hot glue and half-inch wooden cube blocks to build model aqueducts, doing all the calculations to design and build the arches necessary to support a water-carrying channel over a three-foot span. They calculate the slope of the small-sized aqueduct based on what was typical for Roman aqueducts at the time, aiming to construct the ideal slope over a specified distance in order to achieve a water flow that is not spilling over or stagnant. They test their model aqueducts with water and then reflect on their performance.

With the assistance of a few teacher demonstrations (online animation, using a radiometer and rubbing hands), students review the concept of heat transfer through convection, conduction and radiation. Then they apply an understanding of these ideas as they use wireless temperature probes to investigate the heating capacity of different materials sand and water under heat lamps (or outside in full sunshine). The experiment models how radiant energy drives convection within the atmosphere and oceans, thus producing winds and weather conditions, while giving students the hands-on opportunity to understand the value of remote-sensing capabilities designed by engineers. Students collect and record temperature data on how fast sand and water heat and cool. Then they create multi-line graphs to display and compare their data, and discuss the need for efficient and reliable engineer-designed tools like wireless sensors in real-world applications.

The purpose of this activity is to demonstrate how aircrafts have decreased the amount of time it takes to transport people and cargo. Students will compute the time it takes to travel between two cities for several modes of transportation including trucks, trains and airplanes. Students will also do some critical thinking to determine why airplanes are not always used.

Students observe demonstrations, and build and evaluate simple models to understand the greenhouse effect, the role of increased greenhouse gas concentration in global warming, and the implications of global warming theory for engineers, themselves and the Earth. In an associated literacy activity, students learn how a bill becomes law and research global warming legislation.

Spatial visualization is the study of two- and three-dimensional objects and the practice of mental manipulation of objects. Spatial visualization skills are important in a range of subjects and activities like mathematics, physics, engineering, art and sports! In this lesson, students are introduced to the concept of spatial visualization and measure their spatial visualization skills by taking the provided 12-question quiz. Following the lesson, students complete the four associated spatial visualization activities and then re-take the quiz to see how much their spatial visualization skills have improved.

Students learn about one-axis rotations, and specifically how to rotate objects both physically and mentally to understand the concept. They practice drawing one-axis rotations through a group exercise using cube blocks to create shapes and then drawing those shapes from various x-, y- and z-axis rotation perspectives on triangle-dot paper (isometric paper). They learn the right-hand rule to explore rotations of objects. A worksheet is provided. This activity is part of a multi-activity series towards improving spatial visualization skills.

Students work as biomedical engineers to find liquid solutions that can clear away polyvinyl acetate polymer "blood clots" in model arteries (made of clear, flexible tubing). Teams create samples of the "blood clot" polymer with different concentrations to discover the concentration of the model clot and then test a variety of liquids to determine which most effectively breaks down the model blood clot. Students learn the importance of the testing phase in the engineering design process, because they are only given one chance to present the team's solution and apply it to the model blood clot.

Students are introduced to the International Space Station (ISS) with information about its structure, operation and key experiments. The ISS itself is an experiment in international cooperation to explore the potential for humans to live in space. The space station features state-of-the-art science and engineering laboratories to conduct research in medicine, materials and fundamental science to benefit people on Earth as well as people who will live in space in the future.

Students teams each assemble a wing component of a lifter with the goal to test the lifter wing and measure the force exerted when high voltage is applied to it. After an introduction to torque and its use to measure force, students calculate the change in the torque when a high voltage is applied to the wing portion of the lifter using a fulcrum. Once a group has assembled its wing portion, the teacher tests it with a high-voltage power supply, marking the change in the balance so that students can calculate the force. Then groups adjust the gap between the electrodes and re-measure the force. Groups each repeat this process three times, which allows students to estimate the magnitude of the force as a function of the gap between the electrodes.

Students complete this Beer's Law activity in class. Students examine the attenuation of various thicknesses of transparencies. From this activity, students will understand that different substances absorb light differently. This can then be transferred to X-rays to explain that different substances absorb X-rays differently, hence the need for dual-energy analysis. In looking at Beer's Law, students use the properties associated with natural logarithms. After the activity, students complete a series of questions regarding what they observed.

Students plant sunflower seeds in plastic cups, and once germinated, expose them to varying light or soil moisture conditions. They measure growth of the seedlings every few days using non-standard measurement (inch cubes). After a few weeks, they compare the growth of plants exposed to the different conditions and make bar comparative graphs, which they analyze to draw conclusions about the needs of plants.

Students learn about the basic properties of light and how light interacts with objects. They are introduced to the additive and subtractive color systems, and the phenomena of refraction. Students further explore the differences between the additive and subtractive color systems via predictions, observations and analysis during three demonstrations. These topics help students gain a better understanding of how light is connected to color, bringing them closer to answering an overarching engineering challenge question.

Students are introduced to the correct technical vocabulary for lighting, which is different than layperson's terms. They learn about lamp (light bulb) technology and how to identify the various types of lighting in their spaces. They are also introduced to lighting controls as a means for saving energy- reducing costs, human energy consumption, and greenhouse gas emissions on the environment. Using an accompanying worksheet, students embark on a guided audit in which they survey the lighting in their classroom and identify the potential savings from using controls.

During a power failure, or when we go outside at night, we grab a flashlight so we can find our way. What happens inside a flashlight that makes the bulb light up? Why do we need a switch to turn on a flashlight? Have you ever noticed that for the flashlight to work you must orient the batteries a certain way as you insert them into the casing? Many people do not know that a flashlight is a simple series circuit. In this hands-on activity, students build this everyday household item and design their own operating series circuit flashlights.

In addition to the purely geometric and trigonometric aspects of the task, this problem asks students to model phenomena on the surface of the earth.

Students measure the light output and temperature (as a measure of heat output) for three types of light bulbs to identify why some light bulbs are more efficient (more light with less energy) than others.

An interactive applet and associated web page that demonstrate the definition of a line. The applet presents two points and a line that passes through them extending to infinity in both directions. As the points a re dragged the line moves but it is never possible to reveal a line end. See also the entries for line segment and ray. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Students groups act as aerospace engineering teams competing to create linear equations to guide space shuttles safely through obstacles generated by a modeling game in level-based rounds. Each round provides a different configuration of the obstacle, which consists of two "gates." The obstacles are presented as asteroids or comets, and the linear equations as inputs into autopilot on board the shuttle. The winning group is the one that first generates the successful equations for all levels. The game is created via the programming software MATLAB, available as a free 30-day trial. The activity helps students make the connection between graphs and the real world. In this activity, they can see the path of a space shuttle modeled by a linear equation, as if they were looking from above.

This task requires students to use the fact that on the graph of the linear function h(x)=ax+b, the y-coordinate increases by a when x increases by one. Specific values for a and b were left out intentionally to encourage students to use the above fact as opposed to computing the point of intersection, (p,q), and then computing respective function values to answer the question.