Students learn how engineers gather data and model motion using vectors. They learn about using motion-tracking tools to observe, record, and analyze vectors associated with the motion of their own bodies. They do this qualitatively and quantitatively by analyzing several examples of their own body motion. As a final presentation, student teams act as engineering consultants and propose the use of (free) ARK Mirror technology to help sports teams evaluate body mechanics. A pre/post quiz is provided.

Students design and build devices to protect and accurately deliver dropped eggs. The devices and their contents represent care packages that must be safely delivered to people in a disaster area with no road access. Similar to engineering design teams, students design their devices using a number of requirements and constraints such as limited supplies and time. The activity emphasizes the change from potential energy to kinetic energy of the devices and their contents and the energy transfer that occurs on impact. Students enjoy this competitive challenge as they attain a deeper understanding of mechanical energy concepts.

A physics assignment that allows students to address real-life concepts of distance and displacement using their knowledge of vectors and their own school schedule.

In this class, students engage in independent research projects to probe various aspects of the physiology of the bacterium Pseudomonas aeruginosa PA14, an opportunistic pathogen isolated from the lungs of cystic fibrosis patients. Students use molecular genetics to examine survival in stationary phase, antibiotic resistance, phase variation, toxin production, and secondary metabolite production.
Projects aim to discover the molecular basis for these processes using both classical and cutting-edge techniques. These include plasmid manipulation, genetic complementation, mutagenesis, PCR, DNA sequencing, enzyme assays, and gene expression studies. Instruction and practice in written and oral communication are also emphasized.
WARNING NOTICE
The experiments described in these materials are potentially hazardous and require a high level of safety training, special facilities and equipment, and supervision by appropriate individuals. You bear the sole responsibility, liability, and risk for the implementation of such safety procedures and measures. MIT shall have no responsibility, liability, or risk for the content or implementation of any of the material presented.
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This resource is a video abstract of a research paper created by Research Square on behalf of its authors. It provides a synopsis that's easy to understand, and can be used to introduce the topics it covers to students, researchers, and the general public. The video's transcript is also provided in full, with a portion provided below for preview:

"The blood-feeding kissing bugs are the vector for Trypansoma cruzi, the parasite that causes Chagas disease in humans. One factor believed to alter parasite transmission is the kissing bug’s microbiome, which is a fundamental component of natural gut environment where T.cruzi develops. To explore this complex environment, researchers set out to identify the factors that shape the kissing bug's microbiome. They investigated the microbiome composition of 5 species of kissing bugs from two U.S. states across all life stages. They analysed 170 T. cruzi negative kissing bugs sampled from the nests of white-throated woodrats. The primary factors determining microbiome structure were developmental stage, species identity, and environment. Later developmental stages correlated with lower microbial diversity. In fact, adult microbiomes were frequently dominated by a single taxon of bacteria..."

The rest of the transcript, along with a link to the research itself, is available on the resource itself.

Fundamentals of Biology focuses on the basic principles of biochemistry, molecular biology, genetics, and recombinant DNA. These principles are necessary to understanding the basic mechanisms of life and anchor the biological knowledge that is required to understand many of the challenges in everyday life, from human health and disease to loss of biodiversity and environmental quality.
Course Format

This course has been designed for independent study. It consists of four units, one for each topic. The units can be used individually or in combination. The materials for each unit include:

Lecture Videos by MIT faculty.
Learning activities, including Interactive Concept Quizzes, designed to reinforce main concepts from lectures.
Problem Sets you do on your own and check your answers against the Solutions when you're done.
Problem Solving Video help sessions taught by experienced MIT Teaching Assistants.
Lists of important Terms and Definitions.
Suggested Topics and Links for further study.
Exams with Solution Keys.

Content Development

Eric Lander
Robert Weinberg
Tyler Jacks
Hazel Sive
Graham Walker
Sallie Chisholm
Dr. Michelle Mischke

During this lesson, students start to see the data structure they will use to store their images, towards finding a solution to this unit's Grand Challenge. Students are introduced to two-dimensional arrays and vector classes. Then they are guided to see that a vector class is the most efficient way of storing the data for their images. Grand Challenge: To write a program to simulate peripheral vision by merging two images.

Students learn about video motion capture technology, becoming familiar with concepts such as vector components, magnitudes and directions, position, velocity, and acceleration. They use a (free) classroom data collection and processing tool—the ARK Mirror—to visualize and record 3-D motion. The Augmented Reality Kinematics (ARK) Mirror software collects data via a motion detector. Using an Orbbec Astra Pro 3D camera or Microsoft Kinect (see note below), students can visualize and record a robust set of data and interpret them using statistical and graphical methods. This lesson introduces students to just one possible application of the ARK Mirror software—in the context of a high school physics class. Note: The ARK Mirror is ported to operate on an Orbbec platform. It may also be used with a Microsoft Kinect, although that Microsoft hardware has been discontinued. Refer to the Using ARK Mirror and Microsoft Kinect attachment for how to use the ARK MIrror software with Microsoft Kinect.

This is a unit on learning how to use a vector editing program (gravit.io) used for my online graphic design class. This program is free and runs in the browser so was optimal for my students using chromebooks. Each of the 6 lessons has a written lesson tutorial with images, as well as a screencast video that goes over that lesson. 4 of the 6 lessons have an assignment associated with them. There is an outline for what each lesson goes over listed underneath the links for that lesson. All written tutorials, lessons and assignments are in google docs. Lesson 1 - Basics | Screencast Lesson 1 | Assignment Lesson 1What is Gravit.io?Canvas & ZoomSelecting ObjectsMoving objectsCopy/Paste/Delete/DuplicateSupersize, Rotate, FlipGrouping & UngroupingArranging ObjectsAlign and DistributeSavingLesson 2 - Shapes, Paths, Pen | Screencast Lesson 2 | Assignment Lesson 2Basic ShapesBasic Star-based ShapesAdjusting ObjectsShapes vs. PathPath OperationsPen ToolLesson 3 - More Paths & Type | Screencast Lesson 3 | Assignment Lesson 3 CC BY SA 3.0 Rebecca EricksonDrawing Curves with the PenTypes of NodesThe Freehand Tool & SimplifyFills & BordersThe Type ToolLesson 4 - More on Type | Screencast Lesson 4 | Assignment Lesson 4Working with Type: Text vs. PathsType AlignmentCharacter, Word and Line SpacingPutting Type on PathsLesson 5 - Gradients & Textures | Screencast Lesson 5Using the Gradient ToolFine-tuning Gradient PositionAdding More Points to a GradientWorking with TexturesAdding NoiseLesson 6 - Clipart & Vectorizing Images | Screencast Lesson 6About openclipart.orgImporting Open Clip Art into GravitVectorizing Images

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 course covers the mathematical techniques necessary for understanding of materials science and engineering topics such as energetics, materials structure and symmetry, materials response to applied fields, mechanics and physics of solids and soft materials. The class uses examples from the materials science and engineering core courses (3.012 and 3.014) to introduce mathematical concepts and materials-related problem solving skills. Topics include linear algebra and orthonormal basis, eigenvalues and eigenvectors, quadratic forms, tensor operations, symmetry operations, calculus of several variables, introduction to complex analysis, ordinary and partial differential equations, theory of distributions, and fourier analysis.
Users may find additional or updated materials at Professor Carter's 3.016 course Web site.

Mechanical energy is the most easily understood form of energy for students. When there is mechanical energy involved, something moves. Mechanical energy is a very important concept to understand. Engineers need to know what happens when something heavy falls from a long distance changing its potential energy into kinetic energy. Automotive engineers need to know what happens when cars crash into each other, and why they can do so much damage, even at low speeds! Our knowledge of mechanical energy is used to help design things like bridges, engines, cars, tools, parachutes, and even buildings! In this lesson, students will learn how the conservation of energy applies to impact situations such as a car crash or a falling object.

Learn about position, velocity, and acceleration graphs. Move the little man back and forth with the mouse and plot his motion. Set the position, velocity, or acceleration and let the simulation move the man for you.

This site teaches Vector and Matrix Quantities to High Schoolers through a series of 2195 questions and interactive activities aligned to 16 Common Core mathematics skills.

Students modify a provided App Inventor code to design their own diseases. This serves as the evolution step in the software/systems design process. The activity is essentially a mini design cycle in which students are challenged to design a solution to the modification, implement and test it using different population patterns The result of this process is an evolution of the original app.

This course covers the fundamental concepts of structural mechanics with applications to marine, civil, and mechanical structures. Topics include analysis of small deflections of beams, moderately large deflections of beams, columns, cables, and shafts; elastic and plastic buckling of columns, thin walled sections and plates; exact and approximate methods; energy methods; principle of virtual work; introduction to failure analysis of structures. We will include examples from civil, mechanical, offshore, and ship structures such as the collision and grounding of ships.

In this lesson, students begin to focus on the torque associated with a current carrying loop in a magnetic field. Students are prompted with example problems and use diagrams to visualize the vector product. In addition, students learn to calculate the energy of this loop in the magnetic field. Several example problems are included and completed as a class. A homework assignment is also attached as a means of student assessment.

This resource is a video abstract of a research paper created by Research Square on behalf of its authors. It provides a synopsis that's easy to understand, and can be used to introduce the topics it covers to students, researchers, and the general public. The video's transcript is also provided in full, with a portion provided below for preview:

"Chagas disease is caused by the parasite _Trypanosoma cruzi. T. cruzi_ is transmitted between animals and people in the feces of blood-drinking triatomines or ‘kissing bugs’. Some parasites are known to alter the microbiome of their hosts, but that has not been explored in detail for this host-parasite pair. To characterize these potential interactions, researchers examined _Rhodnius prolixus_ after exposure to either _T. cruzi _or _T. rangeli_, a non-pathogenic relative. Exposure to either parasite led to an overall reduction in the number of microbes in the anterior and posterior midgut. Exposure also tended to lead to reductions in the relative abundance of Enterobacterales and Corynebacteriales. Exposure also tended to lead to reductions in the relative abundance of Enterobacterales and Corynebacteriales and to communities with Lactobacillales as the most abundant taxa. This particular pattern of microbial community changes was the most true of insects exposed to _T..."

The rest of the transcript, along with a link to the research itself, is available on the resource itself.

Students are introduced to the concepts of force, inertia and Newton's first law of motion: objects at rest stay at rest and objects in motion stay in motion unless acted upon by an unbalanced force. Examples of contact and non-contact types of forces are provided, specifically applied, spring, drag, frictional forces, and magnetic, electric, gravitational forces. Students learn the difference between speed, velocity and acceleration, and come to see that the change in motion (or acceleration) of an object is caused by unbalanced forces. They also learn that engineers consider and take advantage of these forces and laws of motion in their designs. Through a PowerPoint® presentation and some simple teacher demonstrations these fundamental science concepts are explained and illustrated. This lesson is the first in a series of three lessons that are intended to be taught as a unit.

Students are introduced to Newton's second law of motion: force = mass x acceleration. After a review of force, types of forces and Newton's first law, Newton's second law of motion is presented. Both the mathematical equation and physical examples are discussed, including Atwood's Machine to illustrate the principle. Students come to understand that an object's acceleration depends on its mass and the strength of the unbalanced force acting upon it. They also learn that Newton's second law is commonly used by engineers as they design machines, structures and products, everything from towers and bridges to bicycles, cribs and pinball machines. This lesson is the second in a series of three lessons that are intended to be taught as a unit.