Math Problem of the Week - 01062010

Posted by David Wetzel

Problem solving in math helps student develop a better understanding of mathematical concepts.

This is true when making connects between math concepts and everyday objects that students look at everyday.

One thing students look at everyday is the clock, which can be used to make connections Geometry.

Geometry Math Problem

When looking a students sees that it is 3:15 PM.

What is the angle between the minute and hour hands? (It is not 0 degrees)

Geometry Problem

Answer:

7.5 degrees

Every minute on the clock represents 6 degrees (360 degrees/60 minutes)

Every hour, the hour hand moves from one number to the next (in this case, it is moving from 3 to 4) which represents 30 degrees.

Since it is exactly 1/4 past the hour, the hour hand is 1/4 of the way into its 30-degree trip or 1/4 or 30 degrees….which is 7.5 degrees.

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