Integer teaching strategies
Here are links on different ways to teach integers while in the classroom! Please click!
Strategy 1: Use counters to help the students solve the problem adding and subtracting integers. You have the students use the counters (red for negative and yellow for positive) to represent the positive and negative numbers in the problem. When you have 1 red and 1 yellow counter together it represents a zero pair. Have the students use the red and yellow counters to make zero pairs and the left over are the answer to the problem. Here is a link to a study that was done that shows the effectiveness. http://www.aabri.com/manuscripts/10451.pdf
Strategy 2: Use counters to help the students solve the problem adding and subtracting integers. You have the students use the counters (red for negative and green for positive and orange as a neutral to write you positive or negative sign on) to represent the positive and negative numbers in the problem and the sign of the answer to the problem. First the students examine the problem and figure out what the sign of their answer is going to be just by using the signs and numbers. They write this on the orange sticker. They the students complete the problem by making a number line and solving the problem then adding the sign on their orange sticker. Here is a link to a study that was done that shows the effectiveness. http://www.aabri.comwww.aabri.com/manuscripts/10451.pdf
Strategy 3: The quickest way to multiply negative numbers is ny memorizing these little rules:
negative × negative is positive
positive × positive is positive
negative × positive is negative
positive × negative is negative.
In other words, if the two integers have a different sign, then the product is negative, and otherwise it's positive. A positive × a negative integer can be written as repeated addition. A negative times a positive, by the fact that multiplication is commutative, you can turn this around and then by (1) above, the answer is negative. A negative times a negative. Make a pattern: Another justification for this rule can be seen using distributive property. Here is a link to a study that was done that shows the effectiveness. http://cw.routledge.com/textbooks/9780415801065/pdfs/Chap-5-Sample-Action-Research-Manuscript-6-7th-Grade-Math.pdf
negative × negative is positive
positive × positive is positive
negative × positive is negative
positive × negative is negative.
In other words, if the two integers have a different sign, then the product is negative, and otherwise it's positive. A positive × a negative integer can be written as repeated addition. A negative times a positive, by the fact that multiplication is commutative, you can turn this around and then by (1) above, the answer is negative. A negative times a negative. Make a pattern: Another justification for this rule can be seen using distributive property. Here is a link to a study that was done that shows the effectiveness. http://cw.routledge.com/textbooks/9780415801065/pdfs/Chap-5-Sample-Action-Research-Manuscript-6-7th-Grade-Math.pdf