Thursday, August 30, 2012

Thursday, August, 30th's Homework Assignment

3.4 1-77 E.O.O., which covers factoring the Difference of two Squares and factoring the Sum and Difference of two Cubes.

Don't forget, when factoring the sum and difference of two cubes, to derive the trinomial, use Square, Product, Square (SPS) and to get the signs for the answer, remember Match, Opposite, Plus (MOP).

Here's a link to a video that will help you with tonight's homework:

3.4 Math Video

Also, our first session is Tuesday, the 4th, 10:30-11:30 in Academic 130.  Hope to see you there, have a great weekend!


If you have any questions or concerns, please leave them below in the comments.  Study hard and be brilliant!

Tuesday, August 28, 2012

Tuesday, August 28th's Homework Assignment

Chapter 3.3: 1-54 Every Other Odd (E.O.O.), which covers Factoring out a Greatest Common Factor and Factoring by Grouping.  I have a link below of a video that will help you with tonight's homework Assignment.  The video is by Mrs.Turnell who is another math instructor at the school.

Video link to help you with the homework on 3.3

If you have any questions or concerns, please leave a comment below!

Divisibility Rules


Divisible by 2:  All even numbers (2,4,6,8...).

Divisible by 3:  Add all of the digits in the number; if the sum is divisible by 3, then so is the number.  For example, to find out if 255 is a multiple of 3, add its digits.  2+5+5=12 since 12 is divisible by 3, so is 255.

Divisible by 4: If the last two digits are a number that is divisible by 4, so is the original number.  For example, in the number 3,816 the last two digits of the number is 16, which is divisible by 4, so 3,816 is also divisible by 4.

Divisible by 5: All numbers ending in 5 or 0.

Divisible by 6: If the number is divisible by 2 or 3, it is also divisible by 6.

Divisible by 7: Take the last digit of the number and multiply it by 2.  Subtract that number from the other digits of the number aside from the last digit.  For example, 357, take 7, which is the last digit of the number, and multiply it by 2.  7(2)=14  Next, subtract this number from the the other digits other than the last digit, which is 35.  35-14=21  21 is divisible by 7, so that means 357 is divisible by 7, too.

Divisible by 8: If the last three digits of the number is divisible by 8, then is the number, too.  For example, 6, 056, since the last three digits are divisible by 8, so is 6,056.

Divisible by 9: Add up all the digits in the number; if the sum is divisible by 9, so is the number.  For example, to find out if 765 is divisible by 9, add the digits.  7+6+5=18 since 18 is divisible by 9, so is 765.

Divisible by 10: If the number ends in 0, then it is divisible by 10.

I hope this helps you!

Tips for Test Preparation and Test Taking


Here are some tips that I've used for tests preparation and taking tests...

Test Preparation:

The environment that you study in is very important.  Try to find a space that is quiet and is away from many distractions.  Also, find a space that doesn't have very much clutter because having a lot of things around you, can cause many distractions as well.  When I was a student, I liked to study in the library.  I would reserve a study room and work in there a couple of hours a day.

Ordinarily, your instructor will give you the test date at least a week in advanced, which is when you should begin studying for your test. Up until the week before the test, you should have been keeping up with the homework assignments.  In that process, I'm sure you have notice that you may be better at some homework material than other assignment.  That's okay, but when you study for the test, you need to focus more on the material you find more difficult.  Now, that doesn't mean that you can just skip over the less-challenging material, though.  It's important to study all of the material that is going to be on the test!  Remember, you can't study math by merely looking over the material...YOU HAVE TO DO THE WORK!!! 

So, you know that it is best to begin studying a week before the test, but how long should you study each night?  An hour and a half to two hours a night/day is a good estimate of time to study each study session, but don't overdo it!  If you get tired and start making frequent careless errors while you study, it's time to take a break, usually 10 minutes is good.  If you find that you're still making mistakes after the break, it's probably time to end the study session and start fresh tomorrow.   

Whatever you do, DO NOT overdo it by staying up all night, every night studying!  Your brain needs to rest in order to function properly.  It is especially important to get a good night's rest the night before the test.  Go to bed a little earlier than usual, and make sure you do something other than school work before you go to bed.  Try not to go to bed worrying about the test...it won't change the result by worrying!

The morning of your test, have a healthy breakfast...and a cup of coffee is NOT considered breakfast!!!  Food is fuel for your brain, so fill up on good, healthy food!  For instance, eat a bowl of oatmeal with your favorite fruit mixed in and a side some almonds for protein!

Test Taking:

When you get your test, write your name at the top...No, but really, I suggest writing down any formulas or reminders on the test as soon as you get it.  That way, if you get nervous and begin second-guessing yourself later on, you will already have the formulas and other reminders to help you stay on track!

The next thing to do is go through the test and work the problems you find easier first.  Remember, you DON'T have to work the problems in the order of the test.  There's two reasons why you work the easier problems first: you can do those problems faster than the problems you find more difficult, which will ensure that you get those done and then you have time to work on the harder problems.  The second reason is because it raises your confidence when you work the problems that you find less difficult first.  Let's think about it, if you start with the first problem on the test and were struggling with it, you would most likely panic and start second-guessing everything you did from then on while taking the test.  So, always start with what you know then work your way to the finish line with the more difficult problems!

After you turn in the test, try not to worry about it anymore.  I know that you want to know your grade, but worrying about it, won't change the end result!

I hope this was helpful!
















Study Tips for Math Students


Studying for a math class is NOT like studying for any other class, like history, because you CANNOT be a successful math student by reading and studying your lecture notes.  A math student must be more proactive than that.  Here's a list of good study habits that I learned when I was a student:

1) Attend every class session; in a math class, so much material is covered in one class session that it's difficult to catch up when you are missing the material from a class session.

2) Exchange contact information with one or two fellow students that you feel comfortable with.  That way, you can get a copy of the lecture notes if you missed a class or even form a study-buddy group.  Study buddies are very beneficial because it may give you an opportunity to explain the material to others and by explaining the material to others, you get a better understanding of the material yourself.

3)  Sit as close to the front of the classroom as possible.  When you sit at the front of the classroom, you can see the board better, you can hear better, and there are less distraction in the front of the classroom.  A lot of students believe that if they sit at the front of the classroom, they'll be called on more by the teacher and that embarrasses them.  This is NOT true; matter of fact, in my experience, I have noticed that teachers call more on the students in the back because the teacher wants to make sure that those students are paying attention!  So, do yourself a favor: sit in the front seat of class!

4) Be organized.  It is imperative to be organized in a math class.  You have to keep up with a lot of paperwork: lecture notes, homework, tests, quizzes, due dates and test dates.  When I was a student, I organized my notebook with folder/dividers with the following reserved tabs:

Course Info-to keep the syllabus and any other contact information for tutors or study buddies.
Notes-To keep lecture notes in chronological order of the class sessions; make sure to date your lecture notes.
Homework-To keep homework assignments in chronological order of the class sessions; make sure to date your assignments.
Tests-To keep tests in order.
Quizzes-To keep quizzes in order. 

Remember, never throw anything away from the class until it is over and you have your grade for the class!

5) Re-copy your lecture notes after class.  I always found it very useful when I was a student to re-copy my lecture notes directly after class.  If you do this, the information will be still fresh on your mind, so if you catch any mistakes you might have made in class while taking notes, you can more than likely correct the error.  This also gives you the chance to write the notes more neatly and organize them so you can better understand them later on.  Have fun and be creative with colors, so the material doesn't seem so boring!   Re-writing your lecture notes is a fun and a proactive way to better understand the material learned in each lecture!

6) Be prepared for class.  It is very important to keep track of  important dates, like tests dates and due dates.  I always kept an old-fashioned organizer (you never know when technology fails) to write down homework assignments and important dates.  Also, get enough rest before class so you're alert and can keep up with the information!

7) DO YOUR HOMEWORK!!!  You have to do EVERY homework assignment in order to be a successful math student.  Also, do the assignments very soon after you get it rather than waiting 'til the last minute--the material will be easier to comprehend with it fresh on your mind.  In short, the only way to learn math is by doing math!

I hope these tips help you; they always worked for me when I was a student!