So far into this Math 10 Honors class I have learned many new things. I definitely feel like my knowledge in this unit has grown a lot. Our lessons in class have been very helpful to me and much more in depth than last year. In these past 2 weeks we have gone over Prime Factors, LCM, GCF, Rational & Irrational Numbers, The Number System, and Radicals. Starting from the beginning of this class, Prime Factors, it was good that we did a nice review on prime numbers. We went over prime factorization (tree diagram) and just some divisibility rules on how to find prime factors. Moving on to LCM and GCF, this is a good subject to go over after learning about prime factorization because using the tree diagram can help us solve many problems that involve LCM and GCF.
Examples:
Prime Factorization:
LCM: = 48 GCF:
= 24
We then moved onto Rational & Irrational Numbers which is something we did a lot back in grade 9. We reviewed over the rules that helped to know whether a number was rational or irrational (terminating/non-terminating & repeating/non-repeating). This subject also started to move into square roots because of the amount of square roots that were irrational. The Real Number System was next and during this we went over all of the different categories and groups in the number system. This unit reviewed over square roots and cube roots because answers to some of these radicals would not exist.
Examples:
Irrational – π, 0.0304050607…, √5
Rational: 4, 8.888888…, √2
Real Number System:
Finally, the last unit we went over so far was radicals which was the unit I found most significant because of the amount I learned. We went beyond square and cube roots and explored different roots which got me to think more in depth with exponents. We also learned how to change mixed radicals into entire radicals and vice versa. I learned about the properties of a radical when it included multiplication and division. There were a few parts that included variables and the use of Pythagorean theorem as well. Most of the things learned in this unit was all new to me and was nice to learn.
Examples:
√64 = √16 x 4 = 4√4
2√16 = √16 x = √16 x 4 = √64