This course teaches simple reasoning techniques for complex phenomena: divide and conquer, …
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.
In this book, Sanjoy Mahajan shows us that the way to master …
In this book, Sanjoy Mahajan shows us that the way to master complexity is through insight rather than precision. Precision can overwhelm us with information, whereas insight connects seemingly disparate pieces of information into a simple picture. Unlike computers, humans depend on insight. Based on the author’s fifteen years of teaching at MIT, Cambridge University, and Olin College, The Art of Insight in Science and Engineering shows us how to build insight and find understanding, giving readers tools to help them solve any problem in science and engineering. (Description courtesy of MIT Press.)
Topics include signed numbers, decimal numbers, exponential notation, scientific notation, solving and …
Topics include signed numbers, decimal numbers, exponential notation, scientific notation, solving and graphing linear equations, an introduction to polynomials, and systems of linear equations and their graphs. Geometrical topics include lines and angles, closed curves and convex polygons, triangles and similarities, and symmetry and proportion in nature and art. All course content by Valerie Dietel-Brenneman. Content added to OER Commons by Victoria Vidal.
Topics include signed numbers, decimal numbers, exponential notation, scientific notation, solving and …
Topics include signed numbers, decimal numbers, exponential notation, scientific notation, solving and graphing linear equations, an introduction to polynomials, and systems of linear equations and their graphs. Geometrical topics include lines and angles, closed curves and convex polygons, triangles and similarities, and symmetry and proportion in nature and art. Students may complete this course during the first three weeks of the semester by passing the MyMathLab modules. Students will then be eligible to take either MAT 099 Intermediate Algebra, MAT 114-Quantitative Reasoning or MAT 120-Intro to Statistics the following semester. This course does not satisfy degree requirements. Students may complete this course during the first three weeks of the semester by passing the MyOpenMath Acceleration assignments.
Meet San Francisco artist Sirron Norris, who discusses his public and commercial …
Meet San Francisco artist Sirron Norris, who discusses his public and commercial art projects. Although he works on projects like "Bob's Burgers," he still makes time to teach a cartoon-drawing class for kids every Saturday. He says that the best part about drawing cartoons is that there's no expectations. He teaches the children this, and that as long as they are proud of what they've created, then what they've created is perfect.
This College Algebra textbook provides a comprehensive introduction to the fundamental concepts …
This College Algebra textbook provides a comprehensive introduction to the fundamental concepts of algebra, with a unique focus on the concept of inverses. The textbook begins with an exploration of the foundational principles of functions, including domain, range, and the vertical line test. It progresses through critical topics such as operations on functions, composition of functions, and the algebra of functions, ensuring students grasp the fundamental building blocks necessary for more complex algebraic thinking.
This course covers the following topics: X-ray diffraction: symmetry, space groups, geometry …
This course covers the following topics: X-ray diffraction: symmetry, space groups, geometry of diffraction, structure factors, phase problem, direct methods, Patterson methods, electron density maps, structure refinement, how to grow good crystals, powder methods, limits of X-ray diffraction methods, and structure data bases.
Shape is one of the seven basic building blocks of art along …
Shape is one of the seven basic building blocks of art along with Line, Form, Texture, Value, Space, and Color. Using still life paintings of fruit, we look into how artists' create their individual style and develop a unique approach to making shapes.
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Origami is the Japanese art of paper folding, originally from China and …
Origami is the Japanese art of paper folding, originally from China and now practiced all over the world. In this activity, create an origami star. Introduce children to both geometry and analytical skills in a creative way.
David Huffman is a Bay Area artist who heavily uses basketballs and …
David Huffman is a Bay Area artist who heavily uses basketballs and astronauts as symbols of African Americans' cultural trauma and historical homelessness. He uses these two specifically because they serve as metaphors for self-discovery in a place that has been previously hostile. Basketball is a sport that connects cultural divides, and the astronaut suit protects those who are venturing into dangerous places in order to see things they have never seen before.
In this open-ended, hands-on activity that provides practice in engineering data analysis, …
In this open-ended, hands-on activity that provides practice in engineering data analysis, students are given gait signature metric (GSM) data for known people types (adults and children). Working in teams, they analyze the data and develop models that they believe represent the data. They test their models against similar, but unknown (to the students) data to see how accurate their models are in predicting adult vs. child human subjects given known GSM data. They manipulate and graph data in Excel® to conduct their analyses.
Geometry is concerned with the various aspects of size, shape and space. …
Geometry is concerned with the various aspects of size, shape and space. In this unit, you will explore the concepts of angles, shapes, symmetry, area and volume through interactive activities.
This lesson gives students practice recognizing a line of symmetry. They will practice …
This lesson gives students practice recognizing a line of symmetry. They will practice identifying line-symmetric figures and drawing lines of symmetry.
The goal of this task is to use geometry study the structure …
The goal of this task is to use geometry study the structure of beehives. Beehives have a tremendous simplicity as they are constructed entirely of small, equally sized walls. In order to as useful as possible for the hive, the goal should be to create the largest possible volume using the least amount of materials. In other words, the ratio of the volume of each cell to its surface area needs to be maximized. This then reduces to maximizing the ratio of the surface area of the cell shape to its perimeter.
Gait analysis is the study of human motion that can be utilized …
Gait analysis is the study of human motion that can be utilized as biometric information or identification, for medical diagnostics or for comparative biomechanics. In this activity, students observe walking human subjects and then discuss parameters that could be used to characterize walking gaits. They use accelerometers to collect and graph acceleration vs. time data that can help in gait analysisâall part of practicing the engineering data analysis process. Students complete this activity before learning the material presented in the associated lesson.
This is an instructional task that gives students a chance to reason …
This is an instructional task that gives students a chance to reason about lines of symmetry and discover that a circle has an an infinite number of lines of symmetry. Even though the concept of an infinite number of lines is fairly abstract, fourth graders can understand infinity in an informal way.
This task provides students a chance to experiment with reflections of the …
This task provides students a chance to experiment with reflections of the plane and their impact on specific types of quadrilaterals. It is both interesting and important that these types of quadrilaterals can be distinguished by their lines of symmetry.
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