Students find the volume and surface area of a rectangular box (e.g., a cereal box), and then figure out how to convert that box into a new, cubical box having the same volume as the original. As they construct the new, cube-shaped box from the original box material, students discover that the cubical box has less surface area than the original, and thus, a cube is a more efficient way to package things.

Students learn about two-axis rotations, and specifically how to rotate objects both physically and mentally about two axes. A two-axis rotation is a rotation of an object about a combination of x, y or z-axes, as opposed to a single-axis rotation, which is about a single x, y or z-axis. Students practice drawing two-axis rotations through an exercise using simple cube blocks to create shapes, and then drawing on triangle-dot paper the shapes from various x-, y- and z-axis rotation perspectives. They use the right-hand rule to explore the rotations of objects. A worksheet is provided. This activity is part of a multi-activity series towards improving spatial visualization skills. At activity end, students re-take the 12-question quiz they took in the associated lesson (before conducting four associated activities) to measure how their spatial visualizations skills improved.

This activity illustrates the interrelationship between science and engineering in the context of extinction prevention. There are two parts to the activity. The first part challenges students to think like scientists as they generate reports on endangered species and give presentations worthy of a news channel or radio broadcast. The second part puts students in the shoes of engineers, designing ways to help the endangered species.

Student groups are challenged to design and construct model towers out of newspaper. They are given limited supplies including newspaper, tape and scissors, paralleling the real-world limitations faced by engineers, such as economic restrictions as to how much material can be used in a structure. Students aim to build their towers for height and stability, as well as the strength to withstand a simulated lateral "wind" load.

In this lesson, students will explore motion, rockets and rocket motion while assisting Spacewoman Tess, Spaceman Rohan and Maya in their explorations. They will first learn some basic facts about vehicles, rockets and why we use them. Then, the students will discover that the motion of all objects including the flight of a rocket and movement of a canoe is governed by Newton's three laws of motion.

The purpose of this activity is to demonstrate Newton's third law of motion which states that every action has an equal and opposite reaction through a small wooden car. The Newton cars show how action/reaction works and how the mass of a moving object affects the acceleration and force of the system. Subsequently, the Newton cars provide students with an excellent analogy for how rockets actually work.

Students come to see the exponential trend demonstrated through the changing temperatures measured while heating and cooling a beaker of water. This task is accomplished by first appealing to students' real-life heating and cooling experiences, and by showing an example exponential curve. After reviewing the basic principles of heat transfer, students make predictions about the heating and cooling curves of a beaker of tepid water in different environments. During a simple teacher demonstration/experiment, students gather temperature data while a beaker of tepid water cools in an ice water bath, and while it heats up in a hot water bath. They plot the data to create heating and cooling curves, which are recognized as having exponential trends, verifying Newton's result that the change in a sample's temperature is proportional to the difference between the sample's temperature and the temperature of the environment around it. Students apply and explore how their new knowledge may be applied to real-world engineering applications.

The purpose of this lesson is to teach students about the three dimensional Cartesian coordinate system. It is important for structural engineers to be confident graphing in 3D in order to be able to describe locations in space to fellow engineers.

Through this unit, students act as engineers who are given the challenge to design laparoscopic surgical tools. After learning about human anatomy and physiology of the abdominopelvic cavity, especially as it applies to laparoscopic surgery, students learn about the mechanics of elastic solids, which is the most basic level of material behavior. Then, they explore the world of fluids and learn how fluids react to forces. Next, they combine their understanding of the mechanics of solids and fluids to understand viscoelastic materials, such as those found in the human body. Finally, they learn about tissue mechanics, including how collagen, elastin and proteoglycans give body tissues their unique characteristics. In the culminating hands-on activity, student teams design their own prototypes of laparoscopic surgical robots remotely controlled, camera-toting devices that must fit through small incisions, inspect organs and tissue for disease, obtain biopsies, and monitor via ongoing wireless image-taking. They use a (homemade) synthetic abdominal cavity simulator to test and iterate the prototype devices.

Normally we find things using landmark navigation. When you move to a new place, it may take you awhile to explore the new streets and buildings, but eventually you recognize enough landmarks and remember where they are in relation to each other. However, another accurate method for locating places and things is using grids and coordinates. In this activity, students will come up with their own system of a grid and coordinates for their classroom and understand why it is important to have one common method of map-making.

Acting as biomedical engineers, students design, build, test and redesign prototype heart valves using materials such as waterproof tape, plastic tubing, flexible plastic and foam sheets, clay, wire and pipe cleaners. They test them with flowing water, representing blood moving through the heart. As students creatively practice engineering problem solving, they demonstrate their understanding of how one-way heart valves work.

Students explore the causes and effects of the Earth's ozone holes through discussion and an interactive simulation. In an associated literacy activity, students learn how to tell a story in order to make a complex topic (such as global warming or ozone holes) easier for a reader to grasp.

Celestial navigation is the art and science of finding one's geographic position by means of astronomical observations, particularly by measuring altitudes of celestial objects sun, moon, planets or stars. This activity starts with a basic, but very important and useful, celestial measurement: measuring the altitude of Polaris (the North Star) or measuring the latitude.

Students create and use their own simple compasses, which are each made from a bowl of water, strong magnet, stick pin and Styrofoam peanuts. They learn how compasses work and about cardinal directions. They come to understand that the Earth's magnetic field has both horizontal and vertical components.

Students learn how engineers navigate satellites in orbit around the Earth and on their way to other planets in the solar system. In accompanying activities, they explore how ground-based tracking and onboard measurements are performed. Also provided is an overview of orbits and spacecraft trajectories from Earth to other planets, and how spacecraft are tracked from the ground using the Deep Space Network (DSN). DSN measurements are the primary means for navigating unmanned vehicles in space. Onboard spacecraft instruments might include optical sensors and an inertial measurement unit (IMU).

Students are introduced to acids and bases, and the environmental problem of acid rain. They explore ways to use indicators to distinguish between acids and bases. Students also conduct a simple experiment to model and discuss the harmful effects of acid rain on our living and non-living environment, as well as how engineers address acid rain. In an associated literacy activity, students learn how persuasive techniques are used to develop an argument, and create an environmental case study.

Students expand upon their understanding of simple machines with an introduction to compound machines. A compound machine a combination of two or more simple machines can affect work more than its individual components. Engineers who design compound machines aim to benefit society by lessening the amount of work that people exert for even common household tasks. This lesson encourages students to critically think about machine inventions and their role in our lives.

Students conduct an experiment to determine how varying the composition of a construction material affects its strength. They make several adobe bricks with differing percentages of sand, soil, fibrous material and water. They test the bricks for strength by dropping them onto a concrete surface from progressively greater heights. Students graph the experiment results and use what they learn to design their own special mix that maximizes the bricks' strength. During the course of the experiment, students learn about variables (independent, dependent, control) and the steps of the engineering design process.

Students learn about the techniques engineers have developed for changing ocean water into drinking water, including thermal and membrane desalination. They begin by reviewing the components of the natural water cycle. They see how filters, evaporation and/or condensation can be components of engineering desalination processes. They learn how processes can be viewed as systems, with unique objects, inputs, components and outputs, and sketch their own system diagrams to describe their own desalination plant designs.

Students further their understanding of the engineering design process (EDP) while being introduced to assistive technology devices and biomedical engineering. They are given a fictional client statement and are tasked to follow the steps of the EDP to design and build small-scale, off-road wheelchair prototypes. As part of the EDP, students identify appropriate materials and demonstrate two methods of representing solutions to their design problem (scale drawings and simple scale models). They test the scale model off-road wheelchairs using spring scales to pull the prototypes across three different simulated off-road surfaces.