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Teachers — Training of
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Geometry, Plane
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1.

## What Does It Mean to Measure? [electronic resource]

Explores what can be measured and what it means to measure. Identifies measurable properties such as weight, surface area, and volume, and discusses which metric units are more appropriate for measuring these properties. Defines use of precision instruments, and presents alternate methods such as displacement. Examines approximation techniques and how to make better approximations using reasoning skills.
Online
2002
2.

## Angle Measurement [electronic resource]

Reviews mathematical notation for angle measurement and describes angles in terms of the amount of turn. Uses reasoning to determine the measures of angles in polygons based on the idea that there are 360 degrees in a complete turn. Presents the relationships among angles within shapes and generalizes a formula for finding the sum of the angles in any n-gon. Use activities based on GeoLogo to explore the differences among interior, exterior, and central angles.
Online
2002
3.

## Indirect Measurement and Trigonometry [electronic resource]

Learn how to use the concept of similarity to measure distance indirectly, using methods involving similar triangles, shadows, and transits. Applies basic right-angle trigonometry to present the relationships among steepness, angle of elevation, and height-to-distance ratio. Uses trigonometric ratios to solve problems involving right triangles.
Online
2002
4.

## Area [electronic resource]

Defines area as a measure of how much surface is covered. Explores the relationship between the size of the unit used and the resulting measurement. Finds the area of irregular shapes by counting squares or subdividing the figure into sections. Describes how to approximate the area more accurately by using smaller and smaller units. Relates this counting approach to the standard area formulas for triangles, trapezoids, and parallelograms.
Online
2002
5.

## Circles and Pi [electronic resource]

Investigates the circumference and area of a circle. Examines what underlies the formulas for these measurements and describes how the features of the irrational number pi ()̧ affect both of these measures.
Online
2002