Homework for Tuesday, Mar 31 - Ms. Murphy

I wanted to remind you that I will be looking for completion of the homework assigned in the text pg 102#18-39 and #40-51.

I would also like you to attempt all the problems on the assignment. I will be addressing questions related to the homework and assignment during class tomorrow.

The assignment is available on the class web site if you missed class on Friday, or misplaced the original.

If you wouldn't mind passing the message on to classmates who you think may not have recieved the e-mail or looked at the blog it would be greatly appreciated.

Thank-you and I hope you enjoy the extended weekend!

Brain Teaser for Mar 30 - Mrs. Spence

A) You are participating in a race. You overtake the second person. What position are you in?
B) If instead you overtake the last person, what position are you in?

Homework For The Weekend by Ryan McCarvill

On Friday, we checked homework from Thursday and started operations on polynomials (addition, subtraction, multiplication, division) and started practice work on page 102, questions 18-39 and 40-51. For homework, finish those questions on page 102 and finish the math assignment given out in class. Have a good weekend!

Homework (Thursday) by Ryan McCarvill

Today, Ms. Murphy covered degrees of polynomials in class. She also handed out two sheets of exponent/polynomial questions for us to work on. NOTE: Apparently, the homework assigned in the book had the wrong page number. Do questions 1-17 on page 102. Page 107 was originally assigned, but those questions are on a topic we did not cover yet. Again, do questions 1-17 on page 102! If you did not finish the two sheets given in class, those are for homework too. Also, make sure you pass in your proposal for the major project tomorrow! Remember that the project itself is due April 6.

Wednesday March 25 Homework by Ryan McCarvill

On Wednesday, Ms. Murphy went over the laws of exponents and introduced a new section about classifying and operating on polynomials. A polynomial is an expression formed by added or subtracting monomials (terms). We learned about monomials (1 term), binomials (2 terms), and trinomials (3 terms). No homework was assigned, but the proposal for the major project is due Friday!

Brainteaser for March 25 by Drew Coulson

If Susan is 10, Arabella is 20, and Jim and Neal are both 5, but Richard is 10, how much is Jennifer by the same system?

15 in a system that awards five for each syllable.

Homework by Ryan McCarvill

Another snow-day! Obviously, no new math homework, but be sure to finish the problems Ms. Murphy assigned yesterday (1-49 on page 33) in class. Also, today might be a good day to work on the proposal for the big math project. The proposal is due this Friday, the 27th, but the final project isn't due until April 6.

Homework by Ryan McCarvill

Ms. Murphy started teaching the class today, beginning with Polynomials in Chapter 3. Example questions were put up on the board, and questions 1-49 on page 33 in the textbook were assigned for homework. To make sure everyone knows how to do these problems, Ms. Murphy will choose some of the homework problems for us to pass in. This will be done in class tomorrow, so all that needs to be done tonight are the problems she assigned today.

Sarah McFadden Brainteaser for Tuesday March24th

Dave, the janitor of an apartment block, notices that the boiler pressure is rising, and will shortly explode.He phones two of the residents, tells them the news, asks them to do the same and phone just two more people, and then get out of the building.Assume that each of the residents is in, and answers the phone immediately.If each phone call takes 30 seconds, and it takes each person 90 seconds to get out of the building, how long will it take to empty all 375 apartments?

Answer= 7 Minutes
Why= In the first 30 seconds, Dave rings one other person, call him A.
In the second 30 seconds, Dave rings B, and leaves the building. A rings C.
3rd: A rings D, and leaves. B and C ring E and F.
4th: B and C ring G and H. D, E and F ring I, J, K.5th: D, E, F ring L, M, N. G, H, I, J,K ring O, P, Q, R, S.
The number of residents informed in each time period is as follows:1, 2, 3, 5, 8, ... where each number is the sum of the preceding two.The total number of people informed is:1, 3, 6, 11, 19, ...
Each number is the sum of the previous two, plus 2.Continuing this series we get:32, 53, 87, 142, 231, 375.Thus 375 people were informed after 11 periods of phone calls.
11 calls at 30 seconds each = 5.5 minutes, plus 90 seconds for the last people to exit the building gives 7 minutes.

Brain Teaser for March 23 by James Kyte

What is special about the following sequence of numbers?
8 5 4 9 1 7 6 10 3 2 0

The numbers are in alphabetical order.
(eight, five, four, nine, one, seven, six, ten, three, two, zero)

Brain teaser for March 12 by Josh Wruck

Which weighs more? (info at end)

1) All the trees cut down to make 2,000,000,000 $20 banknotes, or:
2) All the trains that pass though an end of the line train station per year

Each banknote weighs 20g, excluding ink. hidden messages, ya!

Each train carries 20 tons of goods.

On average, the station has 20 trains per day, 364 days per year (no new years day)

Exclude all variables, assume there are none (weight of trees lost by processing, trains that are loaded wrong, etc. Just do the math)

So, which weighs more? Listen in class for highlights.

Like I'd put the answer here for those who can read between the lines and saw the highlight hint.

Brain Teaser for March 12 by Spencer Montgomery

On my way to the fair, I met 7 jugglers and a bear, every juggler had 6 cats, every cat had 5 rats, every rat had 4 houses, every house had 3 mouses, every mouse had 2 louses, every louse had a spouse. How many in all are going to the fair?

Answer: Ask me

TEST TOMORROW!!

IN CLASS

-Did Brainteaser!! Thanks Josh!!

-Try word problems P. 83 #22, 23, 24, 27, 29.

-Finished assignment and passed it in.

UPCOMING

-Test Tomorrow. Band students write during lunch on Thurs.

Arithmetic Series Part 2

IN CLASS

- Talked through our Math Blog and Classwiki.
- Started talking about our final projects. Going to make posters explaining how Math is used in everyday situations. Ex. Music, sports, etc. Due late March / early April.
- Chapter 2, Lesson 6 - Arithmetic Series Part 2
- P. 82 # 10 - 15

HOMEWORK

- First page of assignment.

UPCOMING

- Test later this week.
-Cartoons due Friday by 3:30 pm.

Brainteaser By Joshua Bryan

Suppose you're in a hallway lined with 100 closed lockers.
You begin by opening every locker. Then you close every second locker. Then you go to every third locker and open it (if it's closed) or close it (if it's open). Let's call this action toggling a locker. Continue toggling every nth locker on pass number n. After 100 passes, where you toggle only locker #100, how many lockers are open?

Answer

Answer: 10 lockers are left open:
Lockers #1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.
Each of these numbers are perfect squares. This problem is based on the factors of the locker number.
Each locker is toggled by each factor; for example, locker #40 is toggled on pass number 1, 2, 4, 5, 8, 10, 20, and 40. That's eight toggles: open-closed-open-closed-open-closed-open-closed.

The only way a locker could be left open is if it is toggled an odd number of times. The only numbers with an odd number of factors are the perfect
squares. Thus, the perfect squares are left open.

For example, locker #25 is toggled on pass number 1, 5, and 25 (three toggles): open-closed-open.

Cartoon and Brainteaser by Josh Adams for Monday, March 9, 2009

Good luck with my brainteaser! I've got my fingers crossed hoping that the links will work. :)

You must cut a birthday cake into exactly eight pieces, but you're only allowed to make three straight cuts, and you can't move pieces of the cake as you cut. How can you do it?
Click here for the answer. (find the problem and click Show Answer)

Click here for my cartoon.

What happened on Friday?

In class on Friday, we went over the difference between an arithmetic sequence and an arithmetic series. Then we learned how and when to use the two new formulas to calculate the sum of a series (Sn). We had to do p82 # 1-9 and # 16 - 21. The next assignment was handed out, but we don't have to pass it in on Monday. Right now, we should be able to do all but the last two questions on the first page.

 

On Monday (whether at school or at home if the weather happens to be bad), we'll be learning how to do the last two. Our homework check for Monday will be the problems on p82 (above). We'll be expected to have the first side of the assignment done to hand in on Tuesday morning before classes.

 

If you missed class on Friday and you're not sure what to do, you can check out the class website for the notes on series or you can read the book p80-81. Ask for help on Monday if you're struggling!

 

Our next test will be on Wednesday or Thursday. If you're planning to go away early for March Break, you should make arrangements to get it done before you go so you won't have as difficult a time when you get back.

Answers for the problems on the board

1. Find the first 4 terms

a) t_n = 3t_n-1 + 2; t₁ = 10
Answer: 10, 32, 98, 296

b) t_n = t_n-1 + 4n; t₁ = 3
Answer: 3, 11, 23, 39

2. Write a general term for

a) -6, -3, 2, 9, ...
Answer: t_n = n² -7

b) 32, 28, 24, ...
Answer: t_n = -4n + 36 OR t_n = t_n-1 -4 ; t1 = 32

3. If the 50th term of a sequence is 221 and the common difference is 4, find term 1.

Answer: 25

Stormstayed again!

Hello everybody! Welcome to our blog!

I thought I'd get you to try looking at the site since you are at home anyway and probably bursting for something to do! Remember - you will have to find a math cartoon and a brain teaser for easy marks, so you could spend some time looking for a good one! The trick is, yours has to be different than everyone else's. You may want to have a backup as well. Take the time to practice problems and redo assignment questions to prepare for your test on Wednesday. Tomorrow, you will get your assignments back (don't forget to pass it in before period 1 if you haven't already), and we'll do some final review.

See you in class tomorrow!

Brain Teaser for Mar 2 - 09 by Mrs. Spence

Here is my brain teaser! Good luck!

Below, 10 nine letter words have been broken into chunks of three letters. These chunks have been mixed up, no chunk is used twice and all chunks are used. Can you determine what the 10 words are?

cer ent ead rat uti spr
ful oun pro ann ope ock
nce een oat est liv ion
nou sev ion ast hou akf
bre bea ens dim bed seb

For the answer, click on this link, find the puzzle and click on "Show Answer".

Homework for Monday, Mar 2 - 09

Don't forget - we have a test on Tuesday! The only real homework for Monday is to study for the test and finish the assignment if we didn't finish it on Friday. Make sure to pass it in before first period!