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MathMagic Cycle 18: Level K-3 Regular 

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When two straight lines meet, they form an angle. Some angles are easy to
recognize. For instance, a RIGHT ANGLE is any of the four angles formed by
a piece of paper (like typing or computer paper) that has sharp corners.

Using a clock and "talking" with your partners, try to figure out how many
times in a day (24 hours) the hour hand and the minute hand form a right
angle. You may want to do a chart and watch the hour hand move between the
numbers, as you move the minute hand...


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MathMagic Cycle 18: Level K-3 Advanced 

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One of the better known works of architecture of the Roman Empire was the
Coliseum. For a few months, at it's maximum splendor (before the senate
began cutting its funding... yes, old problem) there stood an Imperial
Roman Guard in each of its 1000 arches. Imagine the splendor! (Not too
cool if you were the entertainment)

The first budget conscious cut called for the removal of every other 
Imperial Guard. Imagine, one stayed, the next went. The second senate
cut called for the removal of every third guard (from the original count)
So, the order went out that guards of gate 1 and gate 2 (if there was one)
could stay, while guard of gate 3 (and every other third one) had to go...
Naturally, what the senate was doing was getting  rid of some guards, but also 
getting the credit for a lot of "cuts" of gates that had no guard. 

The "cuts" continued number after number, until a diligent member of the
opposition party cried foul. He said " Only some of the cuts are actually
getting rid of guards. A lot of them are not!" Can you build an argument
for this senator? 

Also, if you were a Roman Imperial Guard that every week had to choose a
different gate you had to look after (and run the risk of loosing your
job), which gates would be your choice?

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Good luck
MrH