The purpose of this learning video is to show students how to think more freely about math and science problems. Sometimes getting an approximate answer in a much shorter period of time is well worth the time saved. This video explores techniques for making quick, back-of-the-envelope approximations that are not only surprisingly accurate, but are also illuminating for building intuition in understanding science. This video touches upon 10th-grade level Algebra I and first-year high school physics, but the concepts covered (velocity, distance, mass, etc) are basic enough that science-oriented younger students would understand. If desired, teachers may bring in pendula of various lengths, weights to hang, and a stopwatch to measure period. Examples of in- class exercises for between the video segments include: asking students to estimate 29 x 31 without a calculator or paper and pencil; and asking students how close they can get to a black hole without getting sucked in.

This course teaches simple reasoning techniques for complex phenomena: divide and conquer, dimensional analysis, extreme cases, continuity, scaling, successive approximation, balancing, cheap calculus, and symmetry. Applications are drawn from the physical and biological sciences, mathematics, and engineering. Examples include bird and machine flight, neuron biophysics, weather, prime numbers, and animal locomotion. Emphasis is on low-cost experiments to test ideas and on fostering curiosity about phenomena in the world.

The aim of this video is to introduce high school students to the engineering concept of road construction and to the reasons why problems might arise in road construction. Presentation of this concept is made more accessible to students by comparing road construction to the art of baking a layer cake. This simple comparison can serve to emphasize how important it is to follow proper procedures and to use proper materials for successful road construction. The approach used is highly correlated with the common knowledge of baking layer cakes in Malaysia. Students should be able to relate the procedure of baking a layer cake to the importance of following the correct methods of road construction. An understanding of basic statistics is necessary before starting this lesson. This lesson will take almost 60 minutes to complete. During activity breaks, students are required to answer questions and complete assigned tasks related to the subject.

Finding themselves in the middle of the Amazon rainforest after a plane crash, students use map scales, keys, and longitude and latitude coordinates to figure out where they are. Then they work in groups to generate ideas and make plans. They decide where they should go to be rescued, the distance to that location, the route to take, and make calculations to estimate walking travel time.

Through this earth science curricular unit, student teams are presented with the scenario that an asteroid will impact the Earth. In response, their challenge is to design the location and size of underground caverns to shelter the people from an uninhabitable Earth for one year. Driven by this adventure scenario, student teams 1) explore general and geological maps of their fictional state called Alabraska, 2) determine the area of their classroom to help determine the necessary cavern size, 3) learn about map scales, 4) test rocks, 5) identify important and not-so-important rock properties for underground caverns, and 6) choose a final location and size.

In this lesson, students learn some basic facts about asteroids in our solar system. The main focus is on the size of asteroids and how that relates to the potential danger of an asteroid colliding with the Earth. Students are briefly introduced to the destruction that would ensue should a large asteroid hit, as it did 65 million years ago.

In this lesson, the students will discover the relationship between an object's mass and the amount of space it takes up (its volume). The students will also learn about the concepts of displacement and density.

In this lesson, students are introduced to audio engineers. They discover in what type of an environment audio engineers work and exactly what they do on a day-to-day basis. Students come to realize that audio engineers help produce their favorite music and movies.

Students are introduced to the concept of engineering biological organisms and studying their growth to be able to identify periods of fast and slow growth. They learn that bacteria are found everywhere, including on the surfaces of our hands. Student groups study three different conditions under which bacteria are found and compare the growth of the individual bacteria from each source. In addition to monitoring the quantity of bacteria from differ conditions, they record the growth of bacteria over time, which is an excellent tool to study binary fission and the reproduction of unicellular organisms.

Students visualize and interact with concepts already learned, specifically algebraic equations and solving for unknown variables. They construct a balancing seesaw system (LEGO® Balance Scale) made from LEGO MINDSTORMS® parts and digital components to mimic a balancing scale. They are given example algebraic equation problems to analyze, configure onto the balance scale, and evaluate by manipulating LEGO pieces and gram masses that represent terms of an equation such as unknown variables, coefficients and integers. Digital light sensors, built into the LEGO Balance Scale, detect any balance or imbalances displayed on the balancing scale. The LEGO Balance Scale interactively issues a digital indication of balance or imbalance within the system. If unbalanced, students continue using the LEGO Balance Scale until they are confident in their understanding of solving algebraic equations. The goal is for students to become confident in solving algebraic equations by fundamentally understanding the basics of algebra and real-world algebraic applications.

Students investigate different balls' abilities to bounce and represent the data they collect graphically.

Students follow the steps of the engineering design process as they design and construct balloons for aerial surveillance. After their first attempts to create balloons, they are given the associated Estimating Buoyancy lesson to learn about volume, buoyancy and density to help them iterate more successful balloon designs.Applying their newfound knowledge, the young engineers build and test balloons that fly carrying small flip cameras that capture aerial images of their school. Students use the aerial footage to draw maps and estimate areas.

Students hypothesize whether vinegar and ammonia-based glass cleaner are acids or bases. They create designs on index cards using these substances as invisible inks. After the index cards have dried, they apply red cabbage juice as an indicator to reveal the designs.

Students learn the basics of acid/base chemistry in a fun, interactive way by studying instances of acid/base chemistry found in popular films such as Harry Potter and the Prisoner of Azkaban and National Treasure. Students learn what acids, bases and indicators are and how they can be used, including invisible ink. They also learn how engineers use acids and bases every day to better our quality of life. Students' interest is piqued by the use of popular culture in the classroom.

In this optics activity, learners discover that when they rotate a special black and white pattern called a Benham's Disk, it produces the illusion of colored rings. Learners experiment with the speed of rotation and direction of rotation to observe varying patterns. Use this activity to explain to learners how our eyes detect color and how different color receptors in the eye respond at different rates.

In this multi-day activity, students explore environments, ecosystems, energy flow and organism interactions by creating a scale model biodome, following the steps of the engineering design process. The Procedure section provides activity instructions for Biodomes unit, lessons 2-6, as students work through Parts 1-6 to develop their model biodome. Subjects include energy flow and food chains, basic needs of plants and animals, and the importance of decomposers. Students consider why a solid understanding of one's environment and the interdependence of an ecosystem can inform the choices we make and the way we engineer our own communities. This activity can be conducted as either a very structured or open-ended design.

Each term, the class selects a new set of professional journal articles on bioengineering topics of current research interest. Some papers are chosen because of particular content, others are selected because they illustrate important points of methodology. Each week, one student leads the discussion, evaluating the strengths, weaknesses, and importance of each paper. Subject may be repeated for credit a maximum of four terms. Letter grade given in the last term applies to all accumulated units of 16.459.

Biology is the science of life, the branch of the natural sciences that studies living organisms.

Students are introduced to the concepts of biomimicry and sustainable design. Countless examples illustrate the wisdom of nature in how organisms are adapted for survival, such as in body style, physiological processes, water conservation, thermal radiation and mutualistic relationships, to assure species perpetuation. Students learn from articles and videos, building a framework of evidence substantiating the indisputable fact that organisms operate "smarter" and thus provide humans with inspiration in how to improve products, systems and cities. As students focus on applying the ecological principles of the previous lessons to the future design of our human-centered world, they also learn that often our practices are incapable of replicating the precision in which nature completes certain functions, as evidenced by our dependence on bees as pollinators of the human food supply. The message of biomimicry is one of respect: study to improve human practices and ultimately protect natural systems. This heightened appreciation helps students to grasp the value of industry and urban mimetic designs to assure protection of global resources, minimize human impact and conserve nonrenewable resources. All of these issues aid students in creating a viable guest resort in the Sonoran Desert.

This course will introduce the student to the major concepts of biotechnology. The student will discuss genetic engineering of plants and animals and the current major medical, environmental, and agricultural applications of each. There are also a variety of topics that this course will cover after ranging from nanobiotechnology to environmental biotechnology. Upon successful completion of this course, the student will be able to: identify and describe the fields of biotechnology; compare and contrast forward and reverse genetics and the way they influence biodiversity; compare and contrast systemic studies of the genome, transcriptome, and proteome; explain how genome projects are performed, and discuss the completion and the information processing in these projects; describe and explain the principles of existing gene therapies; design strategies that support genetic counseling; explain and analyze DNA fingerprints, and compare DNA fingerprints to non-DNA biometrics; describe and compare bioremediation technologies in air, water, and soil; design strategies for generating genetically modified organisms, and discuss ethical concerns; discuss emerging fields in biotechnology. (Biology 403)