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**

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!!

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

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

Delete-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

Hey Mr. C,

ReplyDeleteFor 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?

I did it on paper don't know if that helps

DeleteMr. 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.

ReplyDeleteI am going to try to do a couple of videos later today... In the meantime...

DeleteLet'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...

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.

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

DeleteLet'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!

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)?

ReplyDeleteSee the first comment in this post...

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

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

DeleteNext time state the problem!!

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

ReplyDeleteSee the comment and reply above regarding whether

Delete-5^2 ?=? (-5)^2

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

ReplyDeleteDo you have anything in your notes? Go back to that first.

DeleteSo, 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~

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

DeleteMathchamber academy has videos that detail the directional vs difference making approaches

DeleteJust testing out the whole system with changing your name, don't mind it.

ReplyDeleteAlso, 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.

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

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

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

DeleteSame for 8

ReplyDeleteok thanks

ReplyDeleteI 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.

ReplyDeleteA Fraction bar!!!

ReplyDeleteI.e. 3 over 5

or (n-5) over 3

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

ReplyDeleteThe one you like best!!

DeleteIt also depends on the numbers... Take a look at my videos and decide for yourself...

DeleteThanks Mr.C it helped alot

DeleteMr.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?

ReplyDeleteScroll up to the first question on this post... That explains it all...

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

ReplyDeleteMultiplication will not be on this quiz. That said, I have videos on MathChamber Academy that should help.

DeleteYou'll just be using multiple vectors.

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

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

DeleteHow 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

ReplyDeletesame 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...

DeleteFor #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?

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

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

ReplyDelete