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**Mathematics**

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Using the simple example of calculating the probability of reaching a traffic light while green, students are shown how to build a mathematical model using a very commonly-taught formula (sum of first n integers) to solve a rather practical problem.... (View More) 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. (View Less)

In this activity, learners will explore the question, What is the chance that we are the only life in the universe? They determine what we need to know to predict the chances of extraterrestrial life. They then make estimates of the number of worlds... (View More) in the Milky Way galaxy that have life using the Drake equation. This is activity 5 of 5 in "Astrobiology in your Classroom: Life on Earth..and Elsewhere?" and builds on the previous activities. (View Less)

This is a lesson about representative sampling. When given parts of the Hubble Deep Field image, learners will count the number of galaxies in one sample section of the image. Then, they will calculate how many galaxies there are in each whole image... (View More) and how many objects the Hubble Space Telescope could see in the entire Universe. This is Actividad 8.6 as part of El Universo a Sus Pies, a Spanish-language curriculum available for purchase. (View Less)

This is an activity about digital imagery and technology. Learners will create a picture using graph paper containing ones and zeroes and instruct others to reproduce it without showing it to them, just like digital technology. After, in groups,... (View More) they will work on constructing a four-color digital image of the Sun from satellite data. This is Actividad 10.3 as part of El Universo a Sus Pies, a Spanish-language curriculum, available for purchase. (View Less)

This is a lesson about representative sampling. When given parts of the Hubble Deep Field image, learners will count the number of galaxies in one sample section of the image. Then, they will calculate how many galaxies there are in each whole image... (View More) and how many objects the Hubble Space Telescope could see in the entire Universe. This is Activity H-6 of Universe at Your Fingertips 2.0: A Collection of Activities and Resources for Teaching Astronomy DVD-ROM, which is available for purchase. (View Less)

This is a lesson about sampling and estimation. Learners will make an object called a sampling window through which they will first count the number of stars on a printed page and estimate the total number of stars on the page, then count and... (View More) estimate the number of letters on a newspaper page, and finally count and estimate the number of stars in the nighttime sky. While most of this activity can be done in a classroom, the final part of the activity requires access to a darkened sky location at night. This is Actividad 7.1 as part of El Universo a Sus Pies, a Spanish-language curriculum available for purchase. (View Less)

This resource explains how to estimate the global consequence of a person's actions to quantify what it is to "think globally." To lend meaning to the result, it introduces "order-of-magnitude" thinking. Three examples, on the global impact of a... (View More) short drive, a little water and an hour of light, are described. 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. (View Less)

Scientists use estimates as a check on more precise measurements; estimation is an easy way to quantify early hypotheses that can be tested or checked later in formal analysis. This article describes a number of examples of the use of estimating the... (View More) answers. The activity 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. (View Less)

In the state of Maryland, a local politician once claimed that sea level is rising because there are too many people putting boats on the open ocean. Could that result in a significant sea level rise, perhaps even destroy low-lying nations such as... (View More) Bangladesh? This resource explores the principle of buoyancy, and is part of 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. (View Less)

This excercise uses "the birthday problem," a well-known probability riddle with a surprising result. It serves as a calculator exercise for students and beginning computer programmers. This resource is from PUMAS - Practical Uses of Math and... (View More) 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. (View Less)