The first two, of ten, rules about fractions involve how can you change a fraction to an equivalent fraction, but with a different denominator. Also, how can you simplify a fraction. Now these rules do NOT change, no matter how weird the fraction gets. So, tomorrow, when the senior students learn about rational expressions in [...]

The next few weeks we are going to be looking at fractions and ratios and rational expressions (for the older students). There are only 10 rules for everything that you can do with a fraction (see the download page to get a poster on these 10 rules). Today, Hexa and Icosa start by discussing what [...]

Sometimes puzzles can be analyzed and solved using base systems other than base 10. Take a look at these two, plus of course the answer from the last session, March 15, 2009.
A puzzle and a game for you.

Base 2, binary, is the base system of our computers. There are some other neat applications as well, such as counting your age in birthday candles, solving equations by using “truth tables”, using Boolean algebra in computer programs and so on.  Please click the pdf file below to see the post.
Some applications of Base 2 [...]

The first link is to an old math trick that works because of base 2. Click on the link below to see it.
A base 2 math trick
Not only does the video below show you a neat math trick, but it also, I hope, will get you looking at algebra in a new light!!  Here is [...]

Throughout history different cultures have used different base systems for a variety of different reasons. Click on the pdf below to read about some of them.
Bases throughout history