How to Teach Seventh Graders Integers

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Teaching seventh graders integers will involve a great deal of both addition and subtraction. Teach seventh graders integers with help from an experienced mathematics educator in this free video clip.

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Hi, my name is Marija, and today I'm going to tell you how to teach seventh graders integers. So the rules for adding and subtracting integers are that if they have the same sign you add and keep the sign. So if we are dealing with negative 4 plus negative 4, you teach them that these are the same sign, they're both negative, therefore we're going to keep the sign and we're going to add the numbers. If we are adding with different signs, like negative 4 plus 10, you are going to subtract, 10 minus 4 is 6 and keep the sign of the number with the higher absolute value. So because 10 is a higher absolute value and it's positive, our 6 is going to stay positive. When you are subtracting if we have negative 2 minus 6 you are going to teach them to keep change change, keep the first number as is, change the subtraction to addition and change the sign of the second number. So because my 6 is positive, I'm now going to change it into a negative. Once we did the keep change change, we're not going to follow the addition rules. So when we look at the addition we have two of the same signs. So we go back to this first rule, same sign, we add and keep the sign. So that's for adding and subtracting. As far as multiplying and dividing though the rule is that if they have the same sign it's going to be positive so if it's a negative times a negative, it's a positive. If it's a positive times a positive, it's still a positive and if it's a negative times a positive, it is a negative. So you can teach them this by letting them know that negative means opposite of. So for example if we had negative 5 times 4, essentially what you are doing is taking 5 times 4 which is 20 and doing the opposite of it, making it negative 20. And then if you have two negatives, so let's say negative 3 times negative 2, alright well now you are doing 3 times negative 2 which we already know is the opposite of 3 times 2 so it's going to be negative 6 but now we are doing the opposite of that so we actually have a positive 6. So if you just want to go into a little bit more depth about how the rules are used and explained you can do that. Otherwise these are the rules that they have to memorize for multiplication and division and up here is addition and subtraction.

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