We can however obtain an indirect measurement. Use a ruler to measure the width of all the pages excluding the covers ,divide the number by the total number of sheets. You can find the hieght of a tall tree using the following procedure and an understding of simple similar triangles. Two triangles are similar if they contain equal triangles and their corresponding sides are proportional. Concepts to investigate : Displacement method of measuring volume,indirect measurement of volume.
Materials : Eye dropper or pipette,graduated cylinder,milk carton or similar container Principles and Procedures :.
Suppose you want to find the volume of one drop of water from a small eye dropper. If you place one drop of water in a calibrated measuring cylinder you will find that it is hardly visible. How possibly can this measurement be done? Method 1. Use the dropper to fill a ml graduated cylinedr,counting the number of drops required to completely fill the cylinder to the 10ml mark. Divide the volume of the water by the nomber of drops to find the vol.
Two substances cannot occupy the same space at the same time. Method 2 measures shadows and the person's height. You can use similar triangles to measure something without actually taking a tape measure and stretching it out.
There are 2 methods. One method is if you use a mirror. So if you as a person, put a mirror on the ground. So I'm going to label that this is a mirror and if you backed up all the way until you could just see the very tip of whatever you're trying to measure. So if my eyes are right here, then I'm going to use a special property of mirrors and light. And what that is is that light, bouncing off a mirror will bounce off at a similar angle.
And by similar I mean congruent. So what we've done is we've created congruent angles there. The more predetermined that the shape and dimensions of a reference device are, the easier the measurement becomes. However, this method also has the disadvantage of the measurement range being limited.
Direct measurement Measurement is performed using the scale of the measuring instrument. Measurement System Basics. What is Measurement?
Use activities based on GeoLogo to explore the differences among interior, exterior, and central angles. Learn how to use the concept of similarity to measure distance indirectly, using methods involving similar triangles, shadows, and transits. Apply basic right-angle trigonometry to learn about the relationships among steepness, angle of elevation, and height-to-distance ratio.
Use trigonometric ratios to solve problems involving right triangles. Learn that area is a measure of how much surface is covered. Explore the relationship between the size of the unit used and the resulting measurement. Find the area of irregular shapes by counting squares or subdividing the figure into sections.
Learn how to approximate the area more accurately by using smaller and smaller units. Relate this counting approach to the standard area formulas for triangles, trapezoids, and parallelograms. Investigate the circumference and area of a circle. Explore several methods for finding the volume of objects, using both standard cubic units and non-standard measures. Explore how volume formulas for solid objects such as spheres, cylinders, and cones are derived and related. Examine the relationships between area and perimeter when one measure is fixed.
Determine which shapes maximize area while minimizing perimeter, and vice versa.
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