Friday, September 16, 2016

hw #1-QR Quiz Review

hw #1-QR

Quiz on Sections 1-1 thru 1-5 on Tues(A)/Weds(B)
Complete the Chapter 1 Review Packet
(real number classifications ala pg 18 will not be on THIS quiz)

HAND-IN
pg 14 #42
pg 34 #38 using the "Difference Maker" technique
pg 36 #84 USE a= -2, h=-3, w=-4

40 comments:

  1. Someone asked, so this bears repeating... this will be on the quiz, the next test, and variations of understanding this will be on every test this year!!

    What is the difference between -5^2 and (-5)^2?

    ReplyDelete
    Replies
    1. First, we need to accept some basic facts in order to set a foundation.

      -5 = (-1)(5)
      1 = (-1)(-1)
      and that the Commutative & Associate properties hold for multiplication...

      You missed the first day where we did the ULTIMATE EXPANSION of these two expressions... I call it the "Humpty-Dumpty" approach to mathematics! (*see below)

      Ok, here we go!
      (?=? is questioning the equivalence of the statement)

      -5^2 ?=? (-5)^2
      (-1)(5^2) ?=? [(-1)(5)(-1)(5)]
      (-1)(5)(5) ?=? [(-1)(-1)(5)(5)]
      (-1)(25) ?=? [(1)(25)]
      -25 ?=? 25
      NOPE!

      *
      Humpty-Dumpty sat on a wall,
      Humpty-Dumpty had a great fall,
      All the King's horses and all the King's men,
      Couldn't put Humpty together again!

      Reason(s): Horses don't have hands (duh!) and the King's men didn't take Algebra with Mr. C.
      Truth be told - poor ol' Humpty never had a chance!

      https://www.youtube.com/watch?v=9fExzr4oa7w

      Delete
  2. Hey Mr. C,
    For the counter/tiles on problems 31-41 ODD, pg 14, should I use the practice story boards for the counters or do it on paper?

    ReplyDelete
    Replies
    1. I did it on paper don't know if that helps

      Delete
  3. Mr. C I don't understand how to do the last page on the review. Meaning I don't know how to do the problems with the multiplication on the number line or with counters. Can you explain to me how it works.

    ReplyDelete
    Replies
    1. I am going to try to do a couple of videos later today... In the meantime...

      Let's taker the expression -7(4)... This translates as: REMOVE 7 sets of 4 positives.... Well ... We don't gotsk any positives! We need 28!!

      We always start with nuttin' (which has a value of zero)... Let's take on 28 zero pairs... You can bring them into the box any way you want... I recommend a bag of 28 positives and a bag of 28 negatives... You gotsk somethin' now, but the value is still zero!

      Now we're ready to try again!

      Can we remove 7 sets of 4 positives now? We sure can! What are we left with? 28 negatives... Otherwise known as -28!

      Lmk if this helped...

      Delete
    2. This does help in a way, I might not show my work right but I will try my best. I know how to get the answer at least. Those videos should help. Thx.

      Delete
    3. The whole point of this tortuous exercise I am putting y'all through is that there is MORE THAN ONE WAY to show the work.

      Let's take 587 - 980.
      a) You can show it on a number line as directional OR diffential (i.e. difference maker)
      b) You can show it with counters
      c) You can rewrite it as addition 587 + (-980) and perform a) & b) above

      Ultimately, as long as you get to the correct answer consistently, that is all that matters.

      The visual methods you are learning now will assist you in the long haul... I assure you of that!

      Delete
  4. Mr. Chamberlain, how does -12^2=-144? On the answer key, you said, -1(12)(12)=-144. Why did you put the -1 in? Also, would in it be (-12)(-12)?

    ReplyDelete
  5. Mr. Chamberlain, how would use the associative property for problem 16 on the chapter 1 quiz review?

    ReplyDelete
    Replies
    1. It makes sense to not only re-order the numbers (commutative) but also re-group them so that you do the easy additions first.

      Next time state the problem!!

      Delete
  6. I don't get your answer on problem 12. -12^2 Shouldn't it be positive 144, not negative 144.

    ReplyDelete
    Replies
    1. See the comment and reply above regarding whether
      -5^2 ?=? (-5)^2

      Delete
  7. I completely forgot what a difference maker is. Can you explain it?

    ReplyDelete
    Replies
    1. IHaveNoIdeaWhyTheNamesAreAllowedToBeThisLongSeptember 19, 2016 at 4:59 PM

      Do you have anything in your notes? Go back to that first.
      So, take -123 - 345. Difference maker finds the total number between the two numbers. -123 is 123 spaces from 0, right? The same is true with 345, as it is 345 spaces away from 0. What's 123 + 345? 468, of course (and I totally didn't use the internet to solve that, yeah, I'm not that lazy... XD). But remember, the answer won't be positive 468. You have to put a little more thought into it. It would obviously be -468, right? (Tell me if I actually need to explain it, sorry if it doesn't seem obvious).
      So, did that help at all? Probably wasn't, but at least tell me if it was? Thanks, have a nice day~

      Delete
    2. So you find the answer, then find the opposite to the answer on the number line?

      Delete
    3. Mathchamber academy has videos that detail the directional vs difference making approaches

      Delete
  8. IHaveNoIdeaWhyTheNamesAreAllowedToBeThisLongSeptember 19, 2016 at 4:52 PM

    Just testing out the whole system with changing your name, don't mind it.
    Also, how do you show multiplication on a number line? I tried, but it looked WAY too simple. You know the saying that how if everything is going well, something's wrong? Yeah, like that. Is there some elaborate process that has to be done or something? What's the process in general? Thanks.

    ReplyDelete
    Replies
    1. You gotta go to mathchamber academy... Fresh videos are out there...

      Delete
  9. I got 0 for #7 and it seemed way to simple. Is there a different answer?

    ReplyDelete
    Replies
    1. IHaveNoIdeaWhyTheNamesAreAllowedToBeThisLongSeptember 19, 2016 at 5:07 PM

      Nope. 0 times anything will make 0, right? You're in the clear.

      Delete
  10. I was working on the algebra packet and for problem 1-5 it says write an algebraic expression without using a x or ÷ symbol. Could someone explain to me how to do division without using a ÷ symbol.

    ReplyDelete
  11. A Fraction bar!!!
    I.e. 3 over 5
    or (n-5) over 3

    ReplyDelete
  12. What do you think is the most effective number line way to solve a problem?

    ReplyDelete
    Replies
    1. It also depends on the numbers... Take a look at my videos and decide for yourself...

      Delete
  13. Mr.C I understand that when a negative is squared it becomes a positive such as -7^2 becomes 49 but how come -12^2 becomes -144? Those the parenthese have to do with it? Is that why sometimes there are parentheses on the numbers such as (-4)^2?

    ReplyDelete
    Replies
    1. Scroll up to the first question on this post... That explains it all...

      Delete
  14. Mr.C I was confused on number 18 on the quiz review. I'm not sure how to show multiplication on a number line.

    ReplyDelete
    Replies
    1. Multiplication will not be on this quiz. That said, I have videos on MathChamber Academy that should help.

      You'll just be using multiple vectors.

      Check 'em the videos and lmk if they do help.

      Delete
    2. Alright thanks Mr.C I'll check out some videos.

      Delete
  15. I can't count countersSeptember 20, 2016 at 6:31 PM

    How do you show using counters if you have to do a problem that involves multiplication or division? I saw it on the algebra study guide and I got confused

    ReplyDelete
    Replies
    1. same answer as the previous comment... it won't be on the quiz (well, there will be a small bonus opportunity) and there are videos on MathChamber Academy that might help... lmk if they do...

      Delete
  16. For #11 I already knew that the square root of 81 was 9 but does anyone know how to find the square root of a number?

    ReplyDelete
    Replies
    1. for now I won't give you any numbers that you can't figure out with your highly developed math intuition... not to worry!

      Delete
  17. Mr.C is there a way to get booster points for the test? If so how.

    ReplyDelete