Sixth Grade Regular Math:
Fractions. Fractions. It used to be a standard joke in my math class that if a student wanted to wear the scariest possible Halloween costume, he or she should dress up like a fraction. Middle school students would run screaming into the night to avoid a fraction.
This year, though, there is a new mantra. Now we say that "fractions are our friends." Our study of fractions attempts to tie fractions into every other part of math. A fraction, after all, is just a division problem. Even better, as soon as you write a fraction, not only do you have the division problem, but you have the answer to it as well. 3 divided by 4 can be written as 3/4 (a fraction which simply means "3 divided by 4") and the answer to that problem is also three-fourths. Write the problem and you've got the answer.
There are seventeen different rules for fractions. Many people learn fractions by trying to memorize the seventeen different rules and then remember which rule applies to which situation. Are common denominators needed for addition? What about multiplication? Do the denominators have to be the lowest before the problem can be started? And what about mixed numbers? In class, we are trying to limit our rules to just a handful that make sense.
Sixth Grade PreAlgebra:
Historically, math has been used to describe the world around us. Currently in PreAlgebra, the class is studying the cartesian coordinate system and the graphing of lines and linear equations. The class has made tremendous progress in an area that, by and large, was completely unknown and unfamiliar to them. We now routinely discuss finding the slope of a line and making a table of values to graph a line, making the physical representation of an abstract mathematical concept.
We will next look at inequalities and their uses in everyday life. We probably use inequalities more often every day than any other math concept. Is there enough time to get to the library before it closes? We don't really need to know when it closes, just that it remains open for the 20 minutes it takes us to get there. When we go shopping, we are more interested if the cost of an item is within our budget than the actual cost. Mathematically, such decisions and calculations are inequalities. We will be learning how to represent inequalities on a coordinate graph. This skill is necessary in making business decisions and in economic considerations.