ProcessOn 2/18/13, Rich/CA/Math wrote: > On 2/18/13, Krystle wrote: >> On 9/19/12, ooo wrote: >>> Please help ! What is the correct way to work this >>> problem ? >>> >>> 6 ÷ 2(1+2) >>> >>> Is the answer 9 or 1 ?? >>> >>> Why? Thanks >> >> HI! In order to solve ...See MoreOn 2/18/13, Rich/CA/Math wrote: > On 2/18/13, Krystle wrote: >> On 9/19/12, ooo wrote: >>> Please help ! What is the correct way to work this >>> problem ? >>> >>> 6 ÷ 2(1+2) >>> >>> Is the answer 9 or 1 ?? >>> >>> Why? Thanks >> >> HI! In order to solve this problem you need to review Order of >> Operations. It is important to know that P.E.M.D.A.S. is the >> order when solving algebraic expressions. P= Parentheses, >> E=Exponents, M=Multiplication, D=Division, A=Addition, >> S=Subtraction. After looking for this order, we work >> left-right with the given problem. Since there are >> parentheses in this problem lets complete that first since >> that is first in P.E.M.D.A.S. So (1+2) = 3. Now lets look at >> whats left: 6 ÷ 2 (3). Now we can do the division and work >> left-right. 6 ÷ 2 = 3. so we have 3(3)= 9. I hope that helps >> you understand the problem and the order of solving the >> problem > > Please read the other messages wherein the serious deficiencies of > pemdas are discussed and exposed. Do your students a favor and > forget you ever heard of that destructive trick.
What a great discussion. There can be only one right answer but so many opinions. One way to clear up the confusion is to rewrite the problem in fraction form (6/2(1+2)) or to enter it as you would computer code. Without a set of parentheses around the 2(1+2) the expression becomes 6/2 * (1+2). If the original expression is entered in a calculator or computer math program, that computer will flawlessly and idiotically follow order of operations
These order of operation problems are very popular memes ( is that redundant) on facebook,and i felt smug enough until i read an article by a math teacher invoke a long forgotten rule regarding implicit multiplication; when there is no multiplication sign indicated, multiplication takes precedence, making this expression equal 1. She thankfully points that the fashion has been the left to right rule for equivalent level operations, agreeing that the accepted answer is 9 and leaving implicit multiplication out of the picture.
If anybody is interested in having students learn some basic programming, you could have them try writing a Sporkl program on the web. There are examples to get started with, and it supports graphics.
I need ideas to help my students understand how to work with isolating variables when they are on both sides of the equation....thank you for any creative ideas and suggestions!!!!
10/01/12, math passerby wrote: > On 9/29/12, Deborah Farrell wrote: >> I need ideas to help my students understand how to work >> with isolating variables when they are on both sides of the >> equation....thank you for any creative ideas and >> suggestions!!!! > > This reminds me of a real experience of mine (from around > 1994) that I posted about in 2001, which has since been > included on several internet lists of math joke: > > Once, in a "math appreciation" course, part of a test I gave > had some one-variable linear equations to solve. Most of this > course was "algebra-free" since many of the students had very > weak backgrounds in math. However, solving one-variable linear > equations was one of the topics covered and this test was > given after that topic had been covered. > > Question -- Solve for x: 3x - 2 = x. > > Student asks during test -- "I can solve for x on the left > side, but what do I do with the x on the right side?" >
If by "solve complex fractions" you mean rewriting a complex fraction as an expression that contains at most one fraction bar (which one then can seek to reduce to lowest terms), I usually teach the method of multiplying both the numerator and the denominator of the “first order” (i.e. main) fraction by a common denominator of all the "second order denominators", and then repeat if necessary.
Example 1:
(5/6 - 2/3) divided by (1/4 + 3/2).
Multiplying numerator and denominator by 12 gives
(10 - 8) divided by (3 + 18) = . . .
Example 2:
[x/(x-y) - x/(x+y)] divided by [y/(x-y) + x/(x+y)]
Multiplying numerator and denominator by x^2 - y^2 gives
If you have something of the form (A+B)/(C+D) where one or more of A, B, C, D look like the expressions in Examples 1 and 2 above, then apply the technique to each of A, B, C, D that is a complex fraction to get something that now has the form of something like the expressions in Examples 1 and 2, then apply the technique again . . .
algie2On 10/07/12, R Rader wrote: > I want to create a jeopardy game to be played on the > smartboard for my pre-algebra students. Any suggestions > for an easy to use template?
This one is great: [link removed]
You can use mathtype equations by selecting plaintex in cut and copy preferences.
...See MoreOn 10/15/12, zainab wrote: > domain and range of 1/(1-sinx)
The only operation/function appearing that imposes a restriction is division, which requires that the denominator 1 - sin(x) be nonzero. Thus, the domain consists of all real numbers x except those making sin(x) = 1, which equals . . .
For the range, note that
-1 = -1
Now add 1 throughout to get
2 >= -sin(x) >= 0
Since the reciprocals of all numbers between 0 and 2 give rise to all positive real numbers (indeed, this will be the case for all numbers between 0 and any specified positive number, such as all real numbers between 0 and 0.0001), the range contains the set of all positive real numbers. Clearly, the range does not include 0 (1/stuff is never equal to 0) and the range does not include any negative numbers (1/positive is never negative), so it follows that the range is exactly the set of all positive real numbers.
On 10/18/12, Cale Moore wrote: > Hello, my name is Cale Moore and I am a product design > student at the University of Kansas. For my senior thesis, > I am designing a series of math manipulatives for higher > levels of math (trigonometry, precalc, calc, algebra, > etc.). If you are a secondary math teacher, it would > greatly help my project if you would fill out a short > survey concerning your use of manipulatives in the > classroom. Please follow the link below to participate. > > [link removed]
I am looking for a fun way to introduce fractions to elementary school children. I have a few ideas involving the chocolate bar, but I am trying to find something a little more active with less sugar. Any suggestions on games you might have used would be greatly appreciated!!!!
On 10/26/12, Holly wrote: > I am looking for a fun way to introduce fractions to > elementary school children. I have a few ideas involving > the chocolate bar, but I am trying to find something a > little more active with less sugar. Any suggestions on > games you might have used would be greatly appreciated!!!!
I have lots of math manipulatives for sale... base 10 set, counting items, flash cards, home made games etc. Mostly appropriate for gr 1-4. Email me for more info
You will need nine cards : ace through nine. Shuffle. watch and be amazed. How is this possible? Demonstrate the card trick to your students...see if they can find the secret.