Extra Credit

Challenge #6 extra credit due by Friday, January 4th! Make sure that you show all work to receive partial credit. DO NOT ERASE! Do not email it or post answers but you can post questions. All submissions must be hand written.

Good Luck!

Tips for Test

Literal Equations:
* isolate the variable

Simplifying Expressions:
adding polynomials: line up like terms and combine like terms
subtracting polynomials: change the signs, line up like terms, and combine like terms

Exponents and Scientific Notation:
1. for multiplication, add exponents
2. for division, subtract exponents
3. with terms with in ( ) multiply exponents
4. any number to the 0 power is 1
5. any number to a negative exponent needs to be rewritten

Motion Problems:
* list knowns and unknowns or list your main characters
* draw a picture
* d= vt
* same direction set equal
* opposite direction add

Coin Value Problems
* list knowns and unknowns or list your main characters
* set up an equation that has at least one variable and an equal sign

Percent Increase Problems
* original + original (%) = final
* underline the key words and numbers in the word problem

Inequalities:
* open circle = greater than OR less than
* closed circle = greater than or equal to OR less than or equal to
* draw a number line

Homeworks

Many of you have not completed the required homework assignments. Below is a list of the homeworks assigned so far this marking period. Half of them were handouts that you will have to pick up from me during the school day.

HW# Assignment
1 p. 177 # 1,2,4,12,16,22
2 p. 468-469 # 16, 20, 26, 32, 34
3 p. 393-394 # 4, 7, 28, 52
p. 398 # 2, 16, 22
p. 404 # 30, 38, 40
4 handout
5 handout
6 handout
7 handout
8 p. 192-193 # 10, 12, 14, 16, 18, 23

All homeworks are due in your folder by Friday, December 21st. After this date I will not accept make-ups.

Challenge # 6 - Eleven Times

For each challenge that you attempt, you must show all work and place your final answer in the space provided below. These have no due dates but can be counted towards your average if you wish. Please check the appropriate box before handing it in.

The Question:
Find the least positive integer that is eleven times the sum of its digits.

Count this in average? ____ YES ____ NO

Posting

I understand that some of you are not used to using a blog before now. I have heard you say that you are unable to post comments. Please keep in mind that I moderate comments to make sure that there are no "spam comments."

For those of you who may not be familiar with blogs, to leave a comment, click the link that says comments at the end of a post. Clicking on this link will also allow you to see comments others have already made. On the right side of the screen, fill in the comment that you want to leave. Then, if you have a google account, you can sign in but this is not required. You can enter who you are as a nickname (so I can give you each individual credit for using the blog!) or leave a comment anonymously (but then you don't get the credit). Keep in mind that your comment will not be posted until I allow it to be posted.

If you have further questions, you can email me or come during lunch and I'll show you how to use the blog then.

Keep this page bookmarked because I'm going to post an extra credit really soon!

POTU #2 - Reversed Squares

The Story:
A mathematician was bored during a long train ride from Upstate New York to New York City. Having a little notebook and a pencil always handy, she began to scribble the following:

The Task:
1. What is the mathematician investigating here?
2. Can you find patterns when you continue her investigation for 2-digit numbers? For 3-digit numbers? For numbers of any amount of digits?
3. The differences above (297 and 792) are divisible by 99. What about the differences of reversed squares for any 2-digit number? What about 3-digit numbers? What about numbers with any amount of digits?

Be sure to follow all the standard POTU Write-Up guidelines.

DUE:
Blue: Tuesday, Dec. 11th
Red: Wednesday, Dec. 12th
Green: Wednesday, Dec. 12th

POTU - Write Up

About Problems of the Unit:
Problems of the Unit (POTU) are an important part of the algebra curriculum. They will give you experience in carrying out extended investigations of complex problems. They give you a chance to work on your mathematical writing. You will be expected to explain your thinking more fully in these assignments than in regular class activities or homework. Be sure to leave ample time for this writing.

Standard POTU Write-up Categories:
1. Problem Statement – State the problem in your own words. Your problem statement should be clear enough that someone unfamiliar with the problem could understand what it is that you are being asked to do.
2. Process and Solution – Describe what steps you took in attempting to solve the problem. Include steps that didn’t work out or that seemed like a waste of time. Complete this part of the write-up even if you didn’t solve the problem. State your solution as clearly as possible. Explain why you think your solution is correct and complete. (If you obtained only a partial solution, give that. If you were able to obtain more general results, include.)
3. Evaluation – Discuss your personal reaction to this problem. For example, you should comment on these questions.
· Did you consider the problem educationally worthwhile? What did you learn from it?
· How would you change the problem to improve it?
· Did you enjoy working on the problem?
· Was the problem too hard or too easy? Why did you feel this way?

Welcome!

In order to have better access to assignments being conducted in class and at home, most, if not all, assignments will be posted to the blog. You can post comments to myself or to classmates. If you are struggling with a project, you can seek guidance from your classmates by posting questions. You can even post anonymously... keep in mind though that I would like to see who is using the blog as a tool and will keep that in mind when doing grades. Using this site as a tool shows that you are trying and putting in a lot of effort!

Extra credit and challenge problems will be posted occasionally as well. I recommend you bookmark this page and check back often.