Create a laser by pumping the chamber with a photon beam. Manage the energy states of the laser's atoms to control its output.

The learning of linear functions is pervasive in most algebra classrooms. Linear functions are vital in laying the foundation for understanding the concept of modeling. This unit gives students the opportunity to make use of linear models in order to make predictions based on real-world data, and see how engineers address incredible and important design challenges through the use of linear modeling. Student groups act as engineering teams by conducting experiments to collect data and model the relationship between the wall thickness of the latex tubes and their corresponding strength under pressure (to the point of explosion). Students learn to graph variables with linear relationships and use collected data from their designed experiment to make important decisions regarding the feasibility of hydraulic systems in hybrid vehicles and the necessary tube size to make it viable.

Students gain perspective on the intended purpose of hydraulic accumulators and why they might be the next best innovation for hybrid passenger vehicles. They learn about how hydraulic accumulators and hydraulic systems function, specifically how they conserve energy by capturing braking energy usually lost as heat. Students are given the engineering challenge to create small-scale models from which their testing results could be generalized to large-scale latex tubing for a hydraulic accumulator. After watching a video clip of an engineer talking about his lab-based model to test the feasibility of using an elastomer as an energy accumulator, they brainstorm ideas about how latex can be used in a hydraulic system and how they could test the strength of latex for use in a hydraulic accumulator. The concepts of kinetic energy and energy density are briefly discussed.

Using spaghetti and marshmallows, students experiment with different structures to determine which ones are able to handle the greatest amount of load. Their experiments help them to further understand the effects that compression and tension forces have with respect to the strength of structures. Spaghetti cannot hold much tension or compression; therefore, it breaks very easily. Marshmallows handle compression well, but do not hold up to tension.

During this activity, students will be introduced to the concepts of the challenge. They will generate ideas for solving the grand challenge first independently, then in small groups. Finally, as a class, students will compile their ideas with a visual as a learning supplement.

Students make two different formulations of imitation Silly Putty with varying degrees of cross-linking. They witness how changes in the degree of cross-linking influence the putty properties.

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.

This lesson introduces students to three of the six simple machines used by many engineers: the lever, the pulley, and the wheel-and-axle. In general, engineers use the lever to magnify the force applied to an object, the pulley to lift heavy loads over a vertical path, and the wheel-and-axle to magnify the torque applied to an object. The mechanical advantage of these machines helps determine their ability to make work easier or make work faster.

In this lesson, students learn about the physical properties of the Moon. They compare these to the properties of the Earth to determine how life would be different for astronauts living on the Moon. Using their understanding of these differences, they are asked to think about what types of products engineers would need to design for us to live comfortably on the Moon.

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.

Through an introduction to the design of lighting systems and the electromagnetic spectrum, students learn about the concept of daylighting as well as two types of light bulbs (lamps) often used in energy-efficient lighting design.

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.

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.

Students use latex tubes and bicycle pumps to conduct experiments to gather data about the relationship between latex strength and air pressure. Then they use this data to extrapolate latex strength to the size of latex tubing that would be needed in modern passenger sedans to serve as hybrid vehicle accelerators, thus answering the engineering design challenge question posed in the first lesson of this unit. Students input data into Excel spreadsheets and generate best fit lines by the selection of two data points from their experimental research data. They discuss the y-intercept and slope as it pertains to the mathematical model they generated. Students use the slope of the line to interpret the data collected. Then they extrapolate with this information to predict the latex dimensions that would be required for a full-size hydraulic accumulator installed in a passenger vehicle.

Students complete an exercise showing logarithmic relationships and examine how to find the linear regression of data that does not seem linear upon initial examination. They relate number of BMD scanners to time.

During the activity, students build a model of the Milky Way and understand the objects contained in the Milky Way. They also get an idea about the distances between these objects.

Two children act as the Moon and the Earth. By holding hands and spinning around they mimic the tidal locking of the Moon. They note that the Moon always keeps the same face towards Earth.