I am homeschooling my granddaughter and she just can't seem to get integers any suggestions?

Question:She is in Grade 7

Answers:
The wonderful part of home schooling is that if the child does not get a concept, you can stop, and work on it until she/he does.

One of our daughters had a similar problem, we worked on it for what seemed forever, once she got it, she breezed through the rest of her math.

Tell you granddaughter that they are opposite.
Integers include all whole counting numbers, their negatives (-), and 0.
You can add, subtract, multiply, and divide them.
Positive (+)
Negative (-)
The best example can be given on a number line.
Example;
mark a number line from -5 to +5
-5 -4 -3 -2 -1 -0- +1 +2 +3 +4 +5
Problem.
+4 - -2 = +2

4 - 2 = 2

When this is written in parentheses (+4) - (-2) it is to eliminate confusion about the positive and negative signs not meaning add, or subtract, and so on.

A wonderful book to keep on hand for when such "stumbling blocks" come up, and I can recommend it from personal experience from simple computation, geometry to statistics is;
Math on Call, a mathematics handbook
ISBN 0-669-45770-1
send her to a REAL school.
try using a number line, explain absolute values too, she'll get it. Try not to rush her, have her do a problem and walk her through it, if you practise everyday she will understand it.
Use real-life scenarios:

-temperature
-owing money (- amount of money)
-positive and negative charges in atoms

Also, check out these sites:
http://www.mathleague.com/help/integers/...
http://www.math.com/homeworkhelp/hotsubj...
Try:

http://www.aaamath.com
http://www.purplemath.com
http://www.mathsisfun.com
That was funny, JDS. Real school?
Anyway.
Here is a link of a free video that should help.
If she learns well this way, try a Google video search of math tutors. These are all free, entertaining and educational for people who have learning styles different from the way they learn in 'real school'.
Oh, the one "The Zany World of Basic Math" is the one that explains intergers.
What aspect of integers is she "not getting?" The whole number aspect (non-fractional, counting numbers) or is she having difficulty grasping the concept of negativity?

Try using concepts that become meaningless if fractionalized, but are very meaningful when counted. People or animals comes to mind. Manipulatives that can be counted, but not divided could also be helpful, especially if they are also designed to help with the concept of negative integers.

Math-U-See makes manipulatives that are designed with hollow undersides that are used to teach subtraction. The minuend is placed "right" side up, the subtrahend is inverted, and placed either on top or adjacent to the minuend. The student counts the difference in units on the blocks. If the minuend block is longer, then there will be more units, if the subtrahend is longer, there will be more holes. If the answer is in units (minuend is longer) the answer is positive, if the holes outnumber the units, then the answer is negative. (Very similar to the numberline suggested earlier.) Another possibility is to use directions for positive and negative (which is really all it is) have her start at position zero. Take two steps to the right. That is +2. Now have her take two steps to the left. She's back at zero. Now two more steps to the left, that is -2. Have her go back to zero. Three steps to the right. Ask her where she is. (+3), then have her take five steps to the left. Ask where she is (-2, where she was before.) Repeat until she has a firm grasp.

The key is to use a number of different examples where the concept is useful, and to try a number of different approaches. Most people struggle with the idea of taking away more than is there. If you can establish the concept in terms of direction, or of owing money, etc. most students will evenutally get it.
One simple way to explain negative numbers is to say that it's the same as when you owe or need or be short of...

For example, if you have five dollars and want to buy an 8-dollar book, you could ahve it if the seller agree to let you owe 3 dollars ...

Now you owe 3...

If your mom gives you 5 dollars, how much will you have? Of course 2, since you have to repay hte 3 you owe.

Another way is to use ground as 0, any thing above is positive and anything below is negative (the 2nd floor is + 8 ft while the basement or crawlspace is - 8 or - 4 feet)
Integers are simply WHOLE numbers, no fractions.

Integers can be rounded off in two methods. One method removes the fraction and keeps the prime number. The other method makes everythign under 1.5 1 and eveyrthintg 1.5 or abouve 2

Integers are simply whole numbers

1,2,3,4,5

We call things that are NOT integers "real numbers" and they can be integers (1,2,3) or fractions (1.2, 2.6, etc.)
When my kids don't understand a concept, what I've found is that if I do it a little each day over a number of days, they WILL get it. It is when I have said THIS KID IS GONNA GET THIS CONCEPT TODAY IF IT TAKES ALL MORNING that they've not gotten it. There is just something about time that helps things sink in more.
I am one year younger then she is and I have already gone passed what you are teaching her. (not trying to be rude)
but if you want her to have a very good education then put her in a school and let her catch up
but integers are 4rth grade math! im serios!

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