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A fact family is a set of math facts that go together. For example 4+5= 9, 5+4=9, 9-4=5 and 9-5=4 are a fact family. There are many benefits to learning facts in this way. It helps children to remember their facts and it helps them to associate the relationship between the facts. Many children may realize that 2+3=5 and 3+2=5 but other children do not automatically understand this. The same goes for the reverse facts. While some children may know their subtraction facts simply because they understand the reverse addition facts, this concept is not clear to others. However teaching the facts together helps to strengthen a child's understanding of these concepts. Plus many children report that they were able to memorize their facts faster when they were taught in this fashion.

A common tool for teaching families is the use of a triangle that shows each number in the family.



When using this visual aid, it is important to teach the child how to use it correctly. The middle of the triangle shows the two operations associated with the family. This is going to be either addition and subtraction or multiplication and division. For the above example it is addition and subtraction.

Here you can show the child that the triangle gives them the answer to the fact problem. If you add 3+4 the answer is 7 and vice versa. Then you can show the reverse operation, 7-3=4 and 7-4=3.

The Home School Cyber School Alliance recognizes the importance of these fact families and is therefore promoting the Daily Fact Family program in which a new fact family is taught to the children every day. This blog will feature this as well. So today we will start with the example shown. Practice the family of 3=4=7, 4+3=7, 7-3=4 and 7-4=3 and tomorrow a new family will be featured. You can also find this information on http://homeschoolcyberschoolalliance.org

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