Tuesday, December 8, 2009

Looking back so that we may look ahead...

Chapter 5 has incorporated concepts from all of the previous chapters. It uses the integer rules from Chapter 2. It adds and subtracts like terms (in fractional form) and solves equations…all based from Chapter 3. It also extends our work with monomials (Chapter 4) by multiplying and dividing them.

As you may have noticed, mathematics is like building a house. You have to have a foundation in order to continue building the next level. If there are foundational gaps, we can sometimes fill them in as we go along, but at other times, these gaps can cause an entire section of the house to collapse.

Answer the following questions in complete sentences. You may do this in three different posts or all in one post.

1) What is the easiest section we have covered thus far in this class? The most difficult? Why?

2) Do you still have foundational gaps in your mathematical knowledge? (aka: Are there concepts that you still do not understand?) If so, what are they? Be honest.

3) Look ahead to Chapter 6. Pick at least two sections and discuss how you think you will need to incorporate knowledge from Chapter 2-5. Be specific.