Today we talked about patterning in math, specifically using an input/output machine. We discussed how to figure out what the operations are for a machine based on the input/output results, like the example below:
We figured out that if we start with what we know, we can see that the output numbers are increasing by 3 each time. Being the clever math students that we are, we know that if our numbers are increasing by 3 each time, the first operation of the input/output machine must be input x 3. When we looked at the output numbers and compared them to the input numbers (1 and 1, for example), we know that 1 x 3 doesn't equal 1 (the number in the output column). The number is too small. We know the second operation is either going to be division or subtraction, as those are the two operations that make numbers smaller.
So...how do we get from 1 x 3=3, to 1 x 3=1?
We know that 3-2=1. Could the next operation be -2?
Let's check the other input/output data against our hypothesis.
2 x 3 = 6 - 2 = 4
3 x 3 = 9 - 2 = 7
4 x 3 = 12 - 2 = 10
5 x 3 = 15 - 2 = 13.
We've got it!
How did today's lesson go? Is anything in the land of patterning still a mystery? If so, post your questions here (especially if you need help with tonight's homework!).
Thanks for another great day. You guys are fabulous!
-Ms. Lewis.
dear, ms.lewis i typed in the new website but nothing showed up only other kind of wiki space and i finshed my math homework and showed my work with sticky notes (mines of course) and I did strech your thinking it was a little hard but did not understand it please please , show us on the board if you don't it's ok we could do it at math on the round table thank you write soon got to go bye by:yordanos
ReplyDeleteHi Yordanos,
ReplyDeleteThanks for you comments.
I'm not sure which new website you mean. Maybe you can tell me more about it tomorrow.
I will happily do the Stretch Your Thinking on the board with you in class tomorrow. I'm glad you gave it a try, even though it was tough.
See you tomorrow!
-Ms. Lewis.
the wikispace website :D
ReplyDeletedear Ms lewis for the math test for question 4 a when i said add three the subtract three thats wat it said why was it wrong? iwas was sure for my answer
ReplyDeleteTijana see ya monday
Hi Tijana,
ReplyDeleteI don't have the test with me at home this weekend. Bring it in on Monday, and I'll take a look. It could be that I marked it wrong. If so, I will certainly change your mark.
See you Monday!
-Ms. Lewis.
hi mrs lewis you dont know who i am but im gonna be on blog spot for a while:<
ReplyDeletedear ms lewis got it!! :) tijana
ReplyDelete