Tuesday, August 31, 2010

Jakob - Subsets Of Sets (2001)














Debut full-length.

'I'm On Your Side'


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sets subsets

Chapter 11: Solving Equations

Solving Equations
By the end of the chapter you should be able to:
- tell the difference between an expression and an equation
- solve problems involving equations


11.1- Expressions and Equations (Monday May 3, 2010)I can identify constants, numerical coefficients, and variables in expressions and equations
I can describe the difference between an expression and equation


NOTES can be found here

11.2- Solve One-Step Equations: x + a = b (Wednesday May 5th, 2010)
I can model problems with equations
I can solve equations and record the process
I can verify solutions to equations

NOTES can be found
here

11.3- Solve One-Step Equations: ax = b, x/a=b (Tuesday May 11th, 2010)
I can model problems with equations
I can solve equations and record the process

NOTES can be found here


Review of the Topics Covered so Far (Wednesday May 12th, 2010)
- As I was gone for a few days I just wanted to touch base with the you guys to make sure all of the topics were covered to this point in the chapter

Notes for today can be found hereNOTES can be found here


11.4 Solve Two-Step Equations: ax + b = c   (Thursday May 13th, 2010)I can model problems with two-step equations
I can solve two-step equations and record the process


Chapter Review (Friday May 14th and Monday May 17th)

Notes can be found here

How to solve two step equations

Reading, writing and chewing gum

From the NY Post:

When does 2 + 2 = 5?

When you're taking the state math test.

Despite promises that the exams -- which determine whether students advance to the next grade -- would not be dumbed down this year, students got "partial credit" for wrong answers after failing to correctly add, subtract, multiply and divide. Some got credit for no answer at all.

"They were giving credit for blatantly ! wrong things," said an outraged Brooklyn teacher who was among those hired to score the fourth-grade test.

State education officials had vowed to "strengthen" and "increase the rigor" of both the questions and the scoring when about 1.2 million kids in grades 3 to 8 -- including 450,000 in New York City -- took English exams in April and math exams last month.

But scoring guides obtained by The Post reveal that kids get half-credit or more for showing fragments of work related to the problem -- even if they screw up the calculations or leave the answer blank.

Scorers joked about giving points to kids who wrote their names, brought a pencil or shared gum.

10th grade math formula chart

Math problems of the week: 1900's algebra vs. College Preparatory Mathematics

I. Two of the problems in the second chapter of Wentworth's New School Algebra, published in 1898 (written by G.A. Wentworth), p. 22:


Write in symbols:

A man has x dollars y dimes and z cents. If he spends a half-dollars and b quarters, how many cents has he left?

A rectangular floor is a feet long and b feet wide. In the middle of the floor there is a square carpet c feet on a side. How many square yards of the floor are bare?

II. Two of the problems in the final chapter of College Preparatory Mathematics Algebra Connections, Volume 1, (written by  Leslie Dietiker, Evra Baldinger, Carlos Cabana, John Cooper, Mark! Cote, Joanne da Luz, David Gulick, Patricia King, Lara Lomac,! Bob Pet ersen, Ward Qincey, Babara Shreve, and Michael Titelbaum) p. 266:

Using the variable x, write an equation that has no solution. Explain how you know it has no solution.

Given the hypothesis that 2x + 3y = 6 and x = 0, what can you conclude?  Justify your conclusion.

III. Extra Credit

The following is the final problem in CPM's Algebra Connections, Volume 1.  Discuss.

HOW AM I THINK! ING?

This course focuses on five different Ways of Thinking: reverse thinking, justifying, generalizing, making connections, and applying and extending understanding These are some of the ways in which you think while trying to make sense of a concept of to solve a problem (even outside of math class). During the chapter, you have probably used each Way of Thinking multiple times without realizing it!

Review each of the Ways of Thinking that are described in the closure sections of Chapters 1 through 5. Then choose three of these Ways of Thinking that you remember using while working in this chapter. For each Way of Thinking that you choose, show and exlain where yo used it and how you used it. Describe why thinking in this way helped you solve a particular problem or understand something new. (For instance, explain why you wanted to generalize in this p! articula r case or why it was useful to see these particular connections). Be sure to include examples to demonstrate your thinking.


5th grade algebra problems

Linux Tip: Retrieving Files From Unbootable Windows partitions

You are a Windows person. You've been using Windows for your daily work, school, or something else. One day, you turn on your PC, and, for whatever reason, you can't boot your Windows. You try every trick you know without success. Your last resort is to recover your precious data from your unbootable Windows partition — if your hard drive is still in good condition and accessible. You could use a Windows Vista installation CD which lets you use the unfriendly Windows repair console.

You can also use Linux to retrieve files from your troublesome Windows partition. If you don't have Linux installed in your computer, you can use a Linux Live CD that's available free from the Internet. A live CD lets you try something without installing it into your computer. Most Linux installation CD's released today are also live CD's. For example, you can try an Ubuntu CD to test-drive Linux and also access data from your broken Windows partition.

Assuming that you booted into Linux, start xterm, konsole or Gnome terminal. Mount your Windows partition with the following command so that you can access and copy files from Windows — specify your Windows partition in place of /dev/sda1:

mount -t ntfs-3g /dev/sda1 /mnt

The command above mounts your Windows partion /dev/sda1 on the directory /mnt. Now, you can change the current directory to /mnt and list its contents like this:

cd /mnt
ls

Plug in your USB flash so you can save your data on it. Then, mount your USB flash onto /media &mdash assuming your flash drive is /dev/sdb1 and the directory /media exists:

mount -t vfat /dev/sdb1 /media

Now you're ready to copy files from your broken Windows partitions to your flash drive using Linux. The following example illustrates copying files in Linux:

cd Users/Kenneth/Documents
cp project7k.doc /media
mv finance9b.xls /media
tar cf - folderX | (cd /media; tar xf -)

The first command in the example above lets you change the current folder to Users/Kenneth/Documents — that's the typical path to user data in Windows Vista. The next commands copy the file project7k.doc and move finance9b.xls and folderX to your flash drive mounted on /media.

Once you retrieve your data files from the broken Windows partition and save them on your USB flash, you can go ahead and wipe your Windows. Then, you may choose to reinstall Windows, or better yet, try and install Linux. My recommendation is Debian Linux.


integrals table

Add Fractions

In this blog we are going to learn about add fractions.

Fraction is a number that can represent part of a whole. The earlier fractions were reciprocals of integers: ancient symbols representing one part of one, one part of four, one part of four, and so on. "vulgar" fractions still used today And which consist of a numerator & a denominator.To get more knowledge on fractions than try to take help from online help with math.

Mathods how to Add Fractions –

They can write the fractions as

Example 1: 6 can be write as [6/1] or [12/2]

Example 2: 3 can be write as [3/1] or [ 24/8]

Example 3: 1 can be write as [1/1] or [7/7]

Example 4: 22 can be write as [22/1] or [66/3]

The examp! les show how to add the fractions.

The general formula to add the fraction is [a/b+c/d = (ad+bc)/(bd)] .

Next time we will solve some problems on add fractions.

One more thing i would like to say you that now a day you can take online help for any concept like free pre algebra help,free math help,free online geometry help etc.Try to take the benefits of that free help site and make most of it.


How to add fractions online

Using a Multiplication Chart to find Equivalent Fractions


This is one of my favorite math tricks that can really help your students as they try to understand how to work with equivalent fractions. I learned it at a workshop a couple years ago and have yet to meet a teacher who previously used or was aware of how simple this chart is to help students.

Many simple equivalent fractions (most of the ones used in upper elementary years) are easy to find on a regular multiplication chart. I feel it is very helpful to point this out to your students. Many students struggle as they try to learn the many steps that it takes to find equivalent fractions. When you look left to! right on the chart you are viewing the multiples of a number. When you view two different rows of multiplies you are viewing equivalent fractions.

For example using the 1's and 2's. Look at the two rows as if they were fractions.
1/2 = 2/4 = 3/6 = 4/8 and so on. You can split rows apart. Look at the rows for 1's and 3's. 1/3 = 2/6 = 3/9 = 4/12 and so on. To show how the chart works with my class I use an overhead projector and circle the numbers to make them easy to locate. To find 1/5 = ? / 30 I circle the 1 and the 5 underneath it on the ones column on the chart. Then I move my finger from the 5 until I get to the number 30 and circle that. I can block out or just cross out other numbers to make it clearer. Then I follow the 1 across and the 30 up until they meet at the number 6. and circle that. If you do it correctly the circles will form a square or rectangle.

Of course, as the students understand how to work the chart, teach them the other ! ways of finding equivalent fractions. It makes it much easier ! for them , however, to "see" the equivalent fractions for a number and the students even start memorizing the most common equivalent fractions.

Now for the most important part. When students take a test they usually cannot use a printed multiplication chart. So what! Train them on how to make a multiplication chart from their facts and have them practice often. Then at test time, they can reproduce the chart onto their test before starting the work. It should take less than 5 minutes. Not only can they use the chart for checking fraction, but they can use it as they do multiplication and division problems too! No it is not cheating. It is about being smart, observant, and prepared!

Do play around with the chart on your own. I didn't believe it would work that simply until I practiced with it and used it with my class. There are some other tips and techniques that you can quickly figure out on your own that even make using the chart easier.

Here is a blank multiplication chart template.

It comes from this site which has a bunch of interesting math templates.

If your students have a hard time memorizing their multiplication facts then this book Memorize in Minutes: The Times Tables shows an easy and unique way to help them out.


How to do equivalent fractions