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**Earth and space science**

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In this interactive, online activity, students practice estimation skills as they begin to explore the Hubble Deep Field image. Students first give a rough estimate of the number of objects in the image. They then use representative sampling... (View More) techniques to improve upon their original estimates. Finally, they use their estimates to calculate the number of galaxies in the universe. Students can work through the activity independently or in groups. Detailed teacher pages, identified as Teaching Tips on the title page of the activity, provide science background information, lesson plan ideas, related resources, and alignment with national education standards. This activity is part of the online exploration "The Hubble Deep Field Academy" that is available on the Amazing Space website. (View Less)

This story can be used to teach that results must be checked against known facts to see if they're reasonable. It is designed as a follow up to "The Fall of the Ruler." This resource is from PUMAS - Practical Uses of Math and Science - a collection... (View More) 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 article explores how statistics can be interpreted in different ways to yield different conclusions. It describes the outcome and discussion of two class activities. In the first, the results are interpreted to "show" that taking a group rather... (View More) than an individual perspective is ultimately beneficial to the individual. In the second, a variation is added "showing" that telling the truth is better that lying. 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)

This example explains how contour mapping teaches both estimation and spatial visualization skills. To have experience visualizing 3-dimensional fields from a 2-dimensional map helps students throughout their mathematical career. This resource is... (View More) 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)

Logarithms are very handy when dealing with numbers at different scales but they are also useful helping us average measurements of physical phenomena that have nonlinear behavior. In this example, students learn about cloud albedo and calculating... (View More) cloud optical depth. 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)

Learners will measure the diameter of a solar flare by making calculations using transparency grids overlaid on images of the Sun. This is the third activity in the lesson "How Does HESSI Take a Picture?" **NOTE: The HESSI mission was renamed... (View More) RRHESSI (Reuven Ramaty High Energy Solar Spectroscope Imager)** after Dr. Reuven Ramaty, who was the original Co-Investigator for this NASA mission, and was a pioneer in the fields of solar physics, gamma-ray astronomy, nuclear astrophysics, and cosmic rays. (View Less)

In this activity, students learn about the advantages of the metric system, by comparing the ease of calculation and conversion between the English and metric systems of measurement. This resource is from PUMAS - Practical Uses of Math and Science -... (View More) 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 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... (View More) 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 example, students learn how to read a topographic map and understand map contours. 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... (View More) science topics taught in K-12 classes have real world applications. (View Less)

This is an activity about seasonal variations in day length. Learners will graph the number of daylight hours in each month in cities around the world and compare results. They will also gain an understanding of the meaning of the term equinox... (View More) through review of the graphed data. This is Activity 6 in the Great Explorations in Math and Science (GEMS) guide titled Real Reasons for Seasons: Sun-Earth Connections. The resource guide is available for purchase from the Lawrence Hall of Science. This activity requires use of an overhead projector and colored transparency pens. (View Less)