POWERS AND EXPONENTS

table of contents

mon jan9

- Phoebe's rats

- 3pt words

tues jan 10

- worksheet: intro to powers and exponents

- begin poster project

thurs jan 12

- notes: discovering exponent law

- assign pg 21 # 52/54, pg 28 #48-55

- 3pt word-product law

mon jan16

- notes: working with negative bases

- notes: discovering exponent laws- quotient law

tues jan 17

- worksheet with negative bases

- text book pg 165 # 45-48

- worksheet using zero exponent law

- 3pt word: quotient law and zero exponent law

wed jan 18

- quiz - product law

- assign : pg 39# 69, 70, 78, 79

pg 38# 1-47

thurs jan 19

- 3pt word: reciprocal

fri jan 20

- notes: discovering exponent laws - power law

- worksheet: using power law

- text book: pg 21 # 51, 53 pg 29 # 83/85/86

mon jan 23

- worksheet: practice of exponent laws

- what happens to a dog who eats table scraps?

- what was unusual about the horse - breeding magazine?

wel i guess that's it.. if i'm missing any or made a mistake just leave a comment or something then i'll edit it !! hehehe..by the way ... its due on the 6th of febuary.. i think .. well I need to study ... later people :P have a great weekend :P

Anne u better look at dis!! :P

well since im on da blog already ill explain some stuff that we learned so far....

exponential form

- a short hand method of writing #'s expressed as repeated multiplication

example:6 ¹²

expanded form

- repeated multiplication of a base

example: 3x3x3x3x3x3

standard form

- the usual way we write a number

example: 8

base

- the number used as a factor for repeated multiplication

example: 6 ¹² 6 is da base

exponent

- the raised number that tells you how many times the base is repeatedly multiplied

example: 6 ¹² 12 is da exponent

product law

- to multiply powers with the same base then add the exponents

example: (x²)(x³)= x⁵

quotient law

- to divide powers with the same base then subtract the exponents

example: x⁴÷x³= x¹

reciprocal

- a reciprocal is a fraction that is flipped upsidedown. we use it when we have a negative exponent

example: 7^-2 = 1/49

power law

- to raise a power to a power,then multiply the exponents

example: (7³)² = 7⁶

zero exponent law

- anything with a zero exponent is equal to 1

example: 10⁰ = 1

that's it for now people.. i need 2 study .. hehehehehe..

hopefully someone will actually read dis...

not sure if i explained it right :S..

hehehehehe .. oh well...

u better study anne ..... :P

juzz lve a comment if u guys dont get it ok ...

later

:P

hey guys i want to say i like this blog.......
and i like the teaching of miss armstrong....
like the exponent and power thats the lesson that i love too learn

guys sorry for my english because i have a problem with that but

i learn from miss armstrong that math is not a hard subject

so miss Armstrong thank for that wonderfull tym with us

thank miss Armstrong!!!!!!!


jAy-p33

hey guys!!!

hey guys how are you? i dunno how to keep in touch with many of you so i decided to post on our blog...if you guys don't know i'm in Philippines right now. and guess what? it's WARM here=P
hahhaha. There are 2 reasons why i posted here, one is i need help! I missed most of the power and exponent unit so i need you guys to tell me what i should study for the exam. Just go on the commnet box okay?i'll update and read your comments if there's any...
well bye guys.god bless and take care always.
Oh yeah the second reason why i posted here it's to tell you guys that...
I MISS YA'LL.!.

Test Review - Powers and Exponents

Hello Jellybeans,
I have posted some multiple choice quizzes to help you review for the test on Thursday. If you score less than 5/5, try the quiz again. New questions will be given from the question bank.

Powers of monomials

Multiplying a polynomial by a monomial - Remember, you can only combine like terms when adding and subtracting

Multiplying and Dividing monomials

First person to tell me the most important thing to do if you can't remember an 'exponent law' recieves 1 bonus mark on their test. Leave your answer in the comment box.

Good luck, and study well.
Ms. Armstrong

New Game - Circle 0

click here to play this game.

The goal of this puzzle is to put three numbers inside of each circle so that they add up to 0.

Solve the puzzle by dragging the black numbers to the blank spaces. You cannot move the blue numbers.

When the three numbers inside any circle add up to 0, the circle changes color.

Thanks to Mr. H and Sargent Park's Grade 8 Math Zone for this great puzzle.

If you want more puzzle's that are similar to Circle 0 - Try Circle 21 or Circle 99 for a challenge

NEW BLOG FOR MUSIC LOVERS!!!

people people people!!!!
check out this new blog!

http://www.thinkmusik.blogspot.com

made exclusively by... Me...
and my wacky side kick, Jason D.!!!

leave a comment aight??!?!

cya people!

KEEP IT RAWKING!

scribe

well, this is actually a scribe for thursday, i think. first off we just tried and played around with uyen's puzzle and nobody could get it. the best pieces i could get is 7. after that we got assigned pgs.39 #'s 69,70,78 and 79, and pg.38 #'s 1-47. that's it, so, don't do drugs!

What We Did Yesterday...

Today we corrected our worksheets on using the quotient law, and using the zero exponent law. If you guys are having trouble remember to STOP! then expand, then it'll be easier for you to solve, or evaluate. Once we finished correcting those worksheets, Ms.Armstrong gave us a 10 question quiz on quotient law to see if we really understand what to do. Then after all those correcting we did more work on pg. 39 # 69,70,78,79.

the day b4 yesterday

Well this i is kinda late but w/e..So, on Tuesday, January 17th, we learned about the Quotient Law and the Zero Exponent Law.

Quotient Law-To divide powers with the same base, subtract the exponents.

If the basse is a avriable with a numerical coefficcient-- dividethe numerical coefficients(using the integer rules.), then divide the powers.

Zero Exponent Law-Any non-zerobase raised to the exponent zero is equal to one.

If you are ever unsure of a law-STOP!!-Write the question out in expanded form and then look for the pattern.

HAHA SCRIBE!! and a brain teaser!! haha

HEYY!! ppl here is my scribe 4 today haha

We reviewed the Zero Exponent Law and the Quotent Law. Marked the 2 math sheets from yesturday which was home work but w/e we maked them to mark the text book pages from yesturday which was homework u have to look at the answer key in the bac of the book...

TODAY ASSIGN: Pages 39 #69, 70, 78, 79
Pages 38 # 1-47

* NOTE: do page 39 first before doing 38 KK!! ^_^


MY BRAIN TEASER!!!

You have a pizza and u have to make 8 equal slices but u can only use 3 straight cuts ONLY!!! if u have an answer comment kk!!!

*NOTE: Ms. Armstrong didn't solve it yet haha......

THings That we Did TOday

Working With Negative Bases

Evaluate (standard form)

Positive Bases:

2²= 4

2³= 8

2⁴= 16

2⁵= 32

Negative Bases:

You can write this in expanded form

-2²= -4 -2x2 or 2x2x-1

-2³ = -8 -2x2x2 or 2x2x2x-1

-2⁴ = -16 -2x2x2x2 or 2x2x2x2x-1

-2⁵= -32 -2x2x2x2x2 or 2 x2x2x2x2 x - 1

Negative Bases with brackets:

(-2)²= 4 -2x-2

(-2)³ = -8 -2x-2x-2

(-2)⁴ = 16 -2 x-2 x -2 x-2

(-2)⁵= -32 -2 x-2 x-2 x-2x-2

Using your brains!! 5x5 = 25 , 5x5x5 = 125

Here's an example:

5²= 5x5 = 25

-5²= -1x5x5 = -25

(-5)²= -5 x-5 = 25

-(5)²= -1x5x5= -25

-(-5)²= -1x-5x-5 = -25

~~~~~ Get it so far?? Well then you should try it !~~~~~~~

5³=
-5³=

(-5)³=

-(5)³=

-(-5)³=

Dividing bases:

Exponential form:

Expanded Form :

Answer in Exponential form :

Answer in Standard form:

2⁵÷2²=

3⁴÷3²=

10⁵÷10=

7⁵÷7⁹=

4²÷4⁶=

7⁴÷7⁴=

3⁵÷3⁵=

2⁵÷2²=

dont know what to do?? well here's an example. Then do the rest for homework !!

2⁵÷2²

expanded form:
2x2x2x2x2

2x2

Answer in exponential form: 2³

Answer in standard form: 8

any questions?? leave a comment and i'll try to answer it for you!

SCRIBE FOR THE DAY ONCE AGAIN!!

Today in class we learned how to work with negative bases. The negative base is similar to postive base in powers. The thing with negative bases that if the power has a negative infront of it. -2² the product would automatically be a negative. The answer isn't a postive for you people wondering why it is a negative. The reason is you are multiplying a negative number to a postive number which will turn it to a negative answer. (-2 x 2) = -4. If your working with exponents like 99,5,63. The product will always be a negative. You always have to multiply with a negative number first than a postive number. Example: (-2 x 2 x 2 x 2...)

The other way with negative bases you might get a question like example (-2)². The way you do this question is that you multiply with the same value with a postive or negative number value. So to do this question it is (-2 x -2) = 4. Remember if the exponent is an even number it will be a postive answer. If the exponent is an odd number it will be a negative answer.

A helpful hint: The exponent is only applied to what is directly in front of it.
Example: -5⁴ means that the exponent is only for the 5 NOT the negative. In expanded form it would be -1 x 5 x 5 x 5 x 5 = -625
Example: (-5)⁴ means that the exponent is applied to the entire contents of the bracket. In expanded form it would be -5 x -5 x -5 x -5 = +625

We also learned to divide powers. Diving powers is pretty straight forward. If you have the same base with different exponents you just subtract the exponents and keep the same base number. Example: (2³ ÷ -2²) you keep the base which is 2 and you just subtract 3 - 2 which equals to 1. The final answer is 2¹

------------------------------------------------

Powers with Negative Base Tips:

Just remember if you get a question like....

2² in expanded form: 2 x 2

-2² in expanded form: -2 x 2

(-2)² in expanded form: -2 x -2

-(2)² in expanded form: -1 x 2 x 2

-(-2)² in expanded form: -1 x -2 x -2

A Maze Game with a Twist

Hey Jellybeans,

Here is the latest game that I came across for your enjoyment. It is called Slither Link and it's a combination of the game 'dots', mazes, and strategic thinking. You will really need to think ahead a move or two to do well on this one. You may also have noticed that I have rearranged the side bar on the right. All of the games that I posted earlier this year are now easily accessed under the heading of Games and Mind Benders. Just click on the title and have fun.

Ms. Armstrong

Jan.12 Product Law

Discover Exponent Law

Part : 1
example: 4^3 + 3^4 = 145
4x4x4 + 3x3x3x3 =
64 + 81=
145

Product Law - To mutiply powers with the same base add the exponent.
example: (x^4)(x^2) = x^6

If you are ever unsure of the law - STOP! Write the question in expanded form and then look for the PATTERN

a really really late response,

Hi,for those who missed our lesson for math today...
here ,
im doing it with my own wordz
We learned about census and sample....
Census means a survey or all the members or group and no one would be left alone, while sample is just picking what they want..example for census:
The cafeteria at your school sends home a SURVEY with every studentto determine if food prices are affordable..
.example for sample:A mother tests the temperature of a baby's formula by touching a few drops on her wrist
I'm not tht good in explaining,but ill do my best next time...Hope you guys understand...
_-angel-

Better late than never

Great! I'm the first unlucky person that been chosen to create a new blog.. well, yeah, atleast i can help... First of all.. be prepared for the exam in science on january 27 th and30..

Reminders:do not bring any MP3, cellphones, or back backs, all you can bring is a pn or pencil.. When you finished the test early, u cant hang around on the hall, you have to stay inside the room for atleast 1 or 2 hours.
If you dont have a test that day, you are not expected to be on school, u must stay at home, or miss armstrong will kick you out by herself. for more further information, please dont ever ASK me! ask ms. AMY!!!.

What happened today?
this is what happened:
We talked about phoebe's rats.. Phoebe has 1 rat. She has 6 babies each. Each of the babies has 6 babies. each of their baby has 6 more babies. then those baby each has 6 babies. Phoebe thinks that she will have 25 rats all in all.
Show 2 errors in her thinking.
1.) Mathematical
MY ANSWER:
115 all in all instead of 25.
now thats wrong..
Jordans: 1297 all in all instead of 115.(now thats right) how did he get that answer?figure it by yourself..
2.)Logic error
* She cant be sure that bob the rat will have 6 babies, what if its more than six or lessthan. And what if theres boys?can they have 6 babies...?ofcourse not.. and what if theres no boy rats?how can they produce a baby without a boy rat? does that make sense?
Well im still struggeling in my english, so yeah sorry..
Exponent and powers

7 ⁴. 4 is the exponent..
so it would be 7 to the exponent of 4..
we really didnt get to study lots about this coz mrs. Silva told us a story about her mice problem, shes so cool coz she has a friend mice...ANYWAYS
WORDS:
1;)EXPONENTIAL FORM-a short hand meathod of writing a # expressed as repeated multiplication.. SYNONYM -power e.g 12⁶

2.)EXPANDED FORM - repeated multiplication of a base e.g 3x3x3x3x3x3x3x3 a tree diagram

3.)STANDARD FORM-the usual way we write a number e.g 4⁷ = 2401

4.) BASE -the # used for repeated multiplication 6³=6x6x6

thats it for now, i run out of english..
just try to understand...


-angelbyyourside-

azrael

THANKS FOR PICKING ME GEORGE!NICE GOING!

A Great Exponent Puzzle

Hello Jellybeans,
Here is a great little mind bender for you to work on when you have a few spare moments.

Narcissistic Numbers (by the way...narcissistic means excessive admiration for ones self)

153 can not get enough of itself. Proof: 1³ + 5³ + 3³ = 153.

Can you find a number which repeats itself like this, using fourth powers?

What about tenth powers?

Thanks to 'Think Again!' for the great puzzle!!

A Tribute to Ms. Nicholson

"thank you for putting up with us
dealing with us your brain must be bust.
thank you for teaching us
you sure taught us lots.
from "endorsing pot summits"
to a graph on boat speeds
an ameature at teaching.
you sure are not
go ahead get great marks
as your college courses you do.
all we all can say is.
WE WILL SURE MISS YOU!!"

-Grade 9
DMCI 2005 - 2006

thanks a lot ms. nichlson...
sorry i posted this soo late..
my pc was screwing up... as usual...
lol...

aight people!!
cya tomorow!~!~

MS NICHOLSON!! U BETTER VISIT US!! lol..

What we did today

Well today we have a short time of class and what we did today are we wrote a definition about exponent which means the raised number that tells you how many times the base is repeatedly multiplied.

Ms Armstrong gave us something to do it was the introduction to powers and exponents and we have to make a poster for assignment and that's all we do today.

SCRIBE FOR THE DAY!

Today in class Mrs. Armstrong did research this morning about rats for "Phoebe Rats." She said it takes 3 weeks for a rat to have babies. There was an error with our mathematics. So in class we re-did the mathematical part.

After doing the diagram again. The answer wasn't 1297. It was 1555.

The Solution: 1+6¹+6²+6³+6⁴
1+6+36+216+1296=1555


We did a worksheet "introduction to Power and Exponents." It was an introduction of what a Base and Exponent was. Writing Powers in Expanded Form. Writing Expanded Form into Exponential Form. Finally Writing Powers into Standard Form.

Here is a little tip:
-4³ The base is 4 not -4 and the Exponent is ³ The reason that is because whatever is infront of the exponent 3 which is 4.
-1x4x4x4

(-4)³ The base is -4 and the Exponent is ³. The reason that is because whatever is in the brackets which is -4. Which will make it a -4.
-4x-4x-4

At the end we had at least 20 minutes left. We planned to do a math poster for Powers and Exponents. Which has to include definitions, Include a correct answer. Finally Clearly organized and must include colour and creativity.

GOOD LUCK TO EVERYONE
ON THEIR POSTER PROJECT

Welcome back!

Hello grade nines!

How were your holidays? Mine were extremely busy, especially since I moved into a new place. I'm already back to school too since our university courses started last Tuesday! That means I won't be coming to your classes on a daily basis anymore... I sure will miss you! In one of my university classes, all of us student teachers shared about our experiences and I have to say that I got to brag about you and DMCI quite a bit. Thanks for the wonderful memories.

So, I just finished marking your statistics tests, and I've asked Ms. Armstrong if I can come to your classes on Friday to give them back to you. She'll let you know if that works. My favorite section to mark was the one where you had to create a biased question. You had a lot of neat ideas that I'll be sure to write down in case I ever teach this unit again.

By the way, wonderful work on those poems! And George, thanks for posting the table of contents for our statistics unit. That must have taken quite a bit of time on your part.

Have a good evening, and I look forward to seeing you again soon! :)

Table of content

FRIDAY NOV. 26
-dictating game
-candy contest "think, rethink, pair"

MONDAY NOV. 28
-compare contrast frame

TUESDAYNOV. 29
-sampling and collecting data
-assignment
-worksheet

THURS/FRI DEC 1 & 2
-endorsing pot summit
-Wiley comic (both)

THURSDAY DEC. 8
-presentation worksheet
-teens admit to binges

FRIDAY DEC. 9
Shooting beanbag activity

MONDAY DEC. 12
-Three point approach (scatter plot, independent, and dependent, variable)

TUESDAY DEC. 13
-scatter plot sort and predict
-Three point approach (positive, negative, zero correlation)

WEDNESDAY DEC. 15
-Three point approach (line of best fit, interpolation, and extrapolation)

FRIDAY DEC16
-textbook assignment
-pages 330 - 331 1) a, b, c, 2) 3) a, b, 4 & 5
-page 335 1) a, b, c, 2) a, b, c,

MONDAY DEC.19
-textbook assignment
-page 341 1) a, b, c,