Discovering the Properties of Multiplication
|Properties of Multiplication Flap Book|
One of the most interesting discoveries we had when teaching “Bansho Style” (see previous posts), is that the students discovered the Commutative Property of Multiplication on their own. Of course, they didn’t know it by that name, but they could see that when we made arrays of 3 x 4 and 4 x 3, that the product was the same. I, of course, seized the moment and tried to get them to make the connection to the Commutative Property of Addition by asking: where have we seen numbers switch places but the result is the same?
It took some thinking, but they finally made the connection. I had them look at the arrays they had built and find a similar array that used the same factors. The students could plainly see the that the Commutative Property of Multiplication was very similar to the one for addition, except we were dealing with multiples and different vocabulary.
|Properties of Multiplication PowerPoint|
Soon after their discoveries and discussions of these properties it was time to solidify the definitions and examples. The students then put together the Properties of Multiplication Flap Book which is part of the Properties of Multiplication 5 Pack of Reinforcement Activities. With the book the students had to match the definition to the property, and glue them down on the inside cover. Then on the other inside part, match examples. I wanted to make sure the students knew those definitions and could give examples so as soon as a student was done with the book, it was time to turn into Multiplication Man!
|Multiplication Man to the rescue!|
|Students practicing with Multiplication Man|
We all know in the end that all these activities and books that we make have to transfer to paper and pencil tasks and assessments. So after all this, I do give the students some practice with worksheets or workbook problems on the Properties of Multiplication. If you would like to see more resources for teaching these properties, click on this LINK and see what’s available.