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Q&A #840


4/5 Good Activities Using Compasses/Protractors

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From: Marielouise (for Teacher2Teacher Service)
Date: Nov 24, 1998 at 21:19:04
Subject: Re: 4/5 Good Activities Using Compasses/Protractors

Hi, Steve,

Use 1/2 or 1/4 inch graph paper, a compass to measure length and a protractor
to measure angles. Construct triangles knowing:

1. one angle measure and two adjacent sides. Find the measure of the other
two angles and the length of the third side.

2. two angles and the included sides. Find the measure of the third angle
and the length of the other two sides.

The compass will approximate the measure using one side of the square on the
graph paper as 1.

You will be finding perimeter and reinforcing the idea that the sum of the
angles of a triangle is 180 degrees.

How can this be fun?  Make the problems into treasure hunts or hikes:

Joe and Judd live five miles apart on a road.  They each decide to hike
through the forest to the foot of a mountain that they see in the distance.
The mountain is 45 degree away from Joe and the road and 75 degrees away from
from Judd and the common road. If Joe walks at an average of 3.2 miles per
hour and Judd walks at an average of 2.5 miles per hour how long will it take
before the two boys meet?  At what angle does their two paths meet?

In essence what you are doing is solving a problem by a scaled construction.

You might find using Geometer's Sketchpad useful in demonstrating the answer.
It will not use the compass or protractor but it will show a technology
answer.

I hope that this has given you some ideas.

-Marielouise, for the Teacher2Teacher service

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