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# Contouring and Topo Maps

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)

Audience: Elementary school
Materials Cost: Free per student

# Logarithms: Taking the Curve Out

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)

Keywords: Clouds
Audience: High school
Materials Cost: Free per student

# What is Wind Chill?

This resource introduces the concept of wind chill, the formula used to measure it and relates it to the causes of hypothermia. A simple experiment using a pie pan, sand, fan and a thermometer demonstrates this concept. The resource is from PUMAS -... (View More)

# Can an Astronaut on Mars Distinguish the Earth from its Moon?

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)

Audience: High school
Materials Cost: Free per student

# Cross Section and Slope

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)

# Dream Job

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)

Audience: High school
Materials Cost: Free per student

# Learning to Think Globally

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)

Audience: High school
Materials Cost: Free per student

# Two Answers are Better than One!

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)

Audience: High school
Materials Cost: Free per student

# Could a World of Swimmers Raise Sea Level?

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)

Audience: High school
Materials Cost: Free per student

# Matching Birthdays

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)