This site is a lecture about crystal structure from Dr. Stephen Nelson at Tulane University. Topics include axial ratios, intercepts of crystal faces (Weiss Parameters), determination of the Miller Index of a crystal, the modified notation of hexagonal systems, which is referred to as Miller-Bravais Indices, and using the Miller Index notation to designate crystal forms. Tables and illustrations accompany the text.
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This math example explains what celestial objects a person can see with the unaided eye from the vantage points of Earth and Mars, using simple math, algebra and astronomical distance information. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.
Students are presented with a graph of atmospheric becomes CO² values from Mauna Loa Observatory, and are asked to explore the data by creating a trend line using the linear equation, and then use the equation to predict future becomes CO² levels. Students are asked to describe qualitatively what they have determined mathematically, and suggest reasons for the patterns they observe in the data. A clue to the reason for the data patterning can be deduced by students by following up this activity with the resource, Seasonal Vegetation Changes. The data graph and a student worksheet is included with this activity. This is an activity from Space Update, a collection of resources and activities provided to teach about Earth and space. Summary background information, data and images supporting the activity are available on the Earth Update data site.
This set of lecture notes about contact metamorphism contains information on contact aureoles, isograds, thermal conductivity, and latent heat of crystallization. Albite-epidote hornfels, hornblende hornfels, pyroxene hornfels, and sanidinite facies are presented. Skarns are also discussed. A number of ternary diagrams and illustrations are included. This resource is part of the Teaching Petrology collection. http://serc.carleton.edu/NAGTWorkshops/petrology03/index.html
In this activity, student teams identify the locations of coral reefs around the world, examine infrared satellite images of the Earth, and research the impacts that are threatening the survival of coral reefs. Each team creates a short oral presentation describing the coral reef they have researched. Students then plot on a composite map the locations where coral bleaching is occurring. Student worksheets, a teacher guide, and assessment rubric are included. This activity is part of Coastal Areas: Coral Reefs in Hot Water, part of the lesson series, The Potential Consequences of Climate Variability and Change.
This site is a lecture from Tulane University that explores the symmetry observed in crystals. Topics covered include crystallographic axes, the crystal lattice, and unit cells. Tables and illustrations accompany the text.
This site is a lecture by Dr. Stephen Nelson from Tulane University that discusses crystallographic calculations. Topics include a review of Miller indices, axial ratios, angles corresponding to a Miller Index, and angles between crystallographic axes in monoclinic or triclinic systems. Step by step examples of the calculations are provided, including associated illustrations and diagrams.
It is common in the real world to see mathematical examples where the cents sign was used when the dollar sign was supposed to be used. Converting and comparing decimals and fractions can help clear up this misconception. Two real coupons clipped from a Sunday paper coupon section are included in this activity. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.
This math problem demonstrates the concept of geometric progression, through an example of a million dollar contract between an employee and an employer. Application of the concept of geometric progression to social cause activism is addressed. This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.
This lesson unit is intended to help you assess how well students are able to: solve simple problems involving ratio and direct proportion; choose an appropriate sampling method; and collect discrete data and record them using a frequency table.
This math problem determines the areas of simple and complex planar figures using measurement of mass and proportional constructs. Materials are inexpensive or easily found (poster board, scissors, ruler, sharp pencil, right angle), but also requires use of an analytical balance (suggestions are provided for working with less precise weighing tools). This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.
This is a collection of mathematics problems relating to the moons of the solar system. Learners will use simple proportional relationships and work with fractions to study the relative sizes of the larger moons in our solar system, and explore how temperatures change from place to place using the Celsius and Kelvin scales.
This book introduces students to some of the most unusual places in our galaxy outside of our solar system. Answering the question, "How many stars are in the sky?" introduces students to basic counting, tallying, and grouping techniques, as well as allowing for the use of simple proportions.
In this problem set, learners will analyze an image of Washington, DC, taken from orbit. They will determine scale and take measurements of several features in the image. A link to more images taken from the International Space Station and the answer key are provided. This is part of Earth Math: A Brief Mathematical Guide to Earth Science and Climate Change.
As science extension activities, this book of problems introduces students to mapping the shape of the Milky Way galaxy, and how to identify the various kinds of galaxies in our universe. Students also learn about the shapes and sizes of other galaxies in our universe as they learn how to classify them. The math problems cover basic scientific notation skills and how they apply to working with astronomically large numbers. It also provides exercises in plotting points on a Cartesian plane to map the various features of our Milky Way.
This site is a lecture by Dr. Stephen Nelson from Tulane University that explores the 32 possible combinations of symmetry operations that define the external symmetry of crystals. The lecture defines the six crystal systems (triclinic, monoclinic, orthorhombic, tetragonal, hexagonal, and isometric) and explains the derivation of the Hermann-Mauguin symbols (also called the international symbols) used to describe the crystal classes from the symmetry content. Tables and illustrations accompany the text.
These lecture notes are part of a series of lectures available on the geology department website at Tulane University. Topics covered include criteria for the classification of igneous rocks, field identification of minerals present in hand sample, thin section examination and chemical analysis. The general chemical classification covers silica content (silica saturation), aluminum saturation, and alkaline and subalkaline rocks. This resource is part of the Teaching Petrology collection. http://serc.carleton.edu/NAGTWorkshops/petrology03/index.html
Problem: How do you measure an angle with a protector, when that angle is between two solid walls? This resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications.