DAY 1: The almost snow day.
Despite the snow day calculator's prediction for a 99% chance of a snow day, we had no snow come tuesday morning and instead we had school. I suppose we couldn't complain because we had already had a long weekend due to Martin Luther King day, but it didn't stop a few complaints when we arrived in math class bright and early. However, the almost snow day was forgotten as we resumed work from the previous class on friday, finishing up the problems that we had started about
MULTIPLYING POLYNOMIALS.
We had already reviewed multiplying polynomials;
And the work we did on page 165 in the book built on that;
After we checked our answers we went on to review PRIME FACTORIZATION by doing a factor tree for 972:
We also quickly reviewed least common multiples and greatest common factors:
LCM- least common multiple or the lowest number or term that is a multiple of a set of numbers.
GCF- greatest common factor or the largest number or term that divides evenly into all numbers or terms.
And the last thing we learned about in tuesday's class was VENN DIAGRAMS, and how they can help us find the GCF and LCM.
Even though we had not necessarily expected to have class, overall we covered a lot tuesday morning!
DAY 2: Day of puzzles.
This time around we were all a lot more prepared for class, although still disappointed from the lack of snow. We started class slowly by reviewing our homework from page 170 of the book and ran into our first puzzle of the day on problem number 11, which looked something like this:
Although the book said that the answer for the LCM was 216, we were not sure if that was actually correct because of the negative 108.
As we moved on to other problems from the homework we found another, slightly more amusing, puzzle to think about. We had run into our first Venn Diagram with three circles instead of two and wondered if you could have more than three. (Eventually I think someone googled the answer but unfortunately we needed to continue going over the homework).
We continued with problem 28 from the homework and learned that a perfect number is a number that is equal to the sum of its positive divisors excluding the number itself. This is where we came across our last puzzle for the day; whether or not a perfect number can be negative. After looking it up we discovered that it is possible yet nobody has been able to find proof of a negative perfect number.
Lastly we started talk about FACTORING (the opposite of multiplying polynomials) and did a few examples checking to see if they followed certain patterns.
The class ended before we could ponder any more puzzles, however, I hope these notes help!
~Renata
~Renata
Great job! This was super comprehensive and your pictures were really nice!
ReplyDeleteNice post! Good pictures and perfect amount of explanation. Also, liked the color coding.
ReplyDeleteGood post. Enjoyed how several pictures were used.
ReplyDeleteOverall this was a really good post and it helped me get back on track after being absent for two days. It was good that you used a lot of pictures, but it might have been helpful to have some more explanation outside of the pictures rather than just in them. Other than that, great job!
ReplyDeleteRenata, I loved how you captured the 'almost snow day' energy / feeling in the introduction and ending of your post. When we look back at it in preparation for exams in June it will be hard to even imagine! You did a nice job recapping what we covered in class, and the images you included were helpful reminders of the material. Pairing some of them with tips or steps for how to approach certain problems would have helped readers to fill in some of the gaps in their understanding. Finally, your post was well organized and thorough, and I like that you refer to some problems / challenges as puzzles! To me this implies that they are fun, make you think, and can be thought about and solved in many different ways.
ReplyDelete