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**Mathematics**

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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... (View More) 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. (View Less)

Math skills are applied throughout this investigation of windows. Starting with basic window shapes, students determine area and complete a cost analysis, then do the same for windows of unconventional shapes. Students will examine photographs taken... (View More) by astronauts through windows on the Space Shuttle and International Space Station to explore the inverse relationship between lens size and area covered. This lesson is part of the Expedition Earth and Beyond Education Program. (View Less)

In a mechanical demonstration of the Pythagorean theorem, this example provides a practical, hands-on method for deriving square roots using a carpenter's square. This resource is from PUMAS - Practical Uses of Math and Science - a collection of... (View More) brief examples created by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

Mathematicians often argue that anything which can be represented numerically or algebraically can also be represented geometrically. This is perhaps true even to the extent that simple numeric calculations can be demonstrated geometrically. This... (View More) example illustrates one such geometric process of addition. 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, students work in teams to calculate relative air mass and demonstrate how solar elevation angle affects the intensity of light that reaches an observer on the ground. The resource includes a student data sheet. This learning... (View More) resource is part of the Atmosphere chapter of the GLOBE Teacher's Guide, and is supported by the GLOBE Aerosol protocol. GLOBE (Global Learning and Observation to Benefit the Environment) is a worldwide, hands-on, K-12 school-based science education program. (View Less)

Materials Cost: 1 cent - $1 per group of students

In this activity, students work in teams to calculate relative air mass and demonstrate how solar elevation angle affects the intensity of light that reaches an observer on the ground. The resource includes a student data sheet. It is part of the... (View More) Atmosphere chapter of the GLOBE Teacher's Guide, and is supported by the GLOBE Aerosol protocol. GLOBE (Global Learning and Observation to Benefit the Environment) is a worldwide, hands-on, K-12 school-based science education program. (View Less)

Materials Cost: 1 cent - $1 per group of students

Students will work in teams to create visual models to assist in understanding the volume of surface ozone in the air. Students construct cubes of different volumes and compare them to get a feel for parts per million by volume and parts per billion... (View More) by volume. Resource includes a paper template for creating the cube and a student worksheet. This is a learning activity associated with the GLOBE Atmosphere investigations and is supported by the Atmosphere chapter of the GLOBE Teacher’s Guide. (View Less)

Materials Cost: 1 cent - $1 per group of students

This article is about the isoperimetric theorem. It states the theorem, explains its history and uses examples and exercises to demonstrate it. The resource is from PUMAS - Practical Uses of Math and Science - a collection of brief examples created... (View More) by scientists and engineers showing how math and science topics taught in K-12 classes have real world applications. (View Less)

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... (View More) and science topics taught in K-12 classes have real world applications. (View Less)

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... (View More) 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)