Understanding that multiplication and repeated addition are related will help extend the students use of multiplication. They will understand that when grouping items they can use multiplication to achieve the same answer in a shorter amount of time. One method I can use to teach repeat addition and multiplication is manipulatives. For example, I can use a projector to display a picture of a box and two small toy kittens. I will start out with one box with one group of kittens. I will progress to display two groups with two toy kittens each. This will continue for however far I see fit. I will model how multiplication is a form of repeated addition. I will write the written form of addition and multiplication next to each problem. By the group of two toy kittens I will write out 1+1=2 and 2*1=2 on the white board display. For the group of two boxes with two kittens in each group I will write 2+2=4 and 2*2=4 on the white board display. Understanding the basic principles and properties for addition and multiplication is key for later skills with algebraic equations. By understanding the properties of multiplication, this will help them figure out grouped items as well as word problems. The understanding of this concept also helps with the understanding in comparison problems. Area calculation is another extent that understanding multiplication and addition will help in mathematics.
There are three properties of multiplication that I would like to discuss and explain for this section. Those three are commutative, associative, and distributive properties. Commutative property means that no matter what order you add or multiply a factor, you will always get the same answer. For example 3+5=5+3 or 5*3=3*5. Associative property is grouping of