Today PJ and I took notes on the commutative property and the associative property. I first started with 4+3=3+4 and I asked PJ if he thought it was true or false? He said True. Then I asked about 5(2)=2(5), he said true! Then I asked about 9-2=2-9, he said false. Again I asked 15/2=2/15, he said false. PJ was able to determine that we can ADD and MULTIPLY in any order, and this was the commutative property. However, the commutative property does not apply to subtraction or division. Next we discussed the Associative property. Again I showed PJ 2+(3+4)=(2+3)+4 and he agreed that was a true statement. With 2(3X4)=(2X3)x4 it's also true. I showed PJ how this time we are not rearranging the terms, just grouping them differently. I reiterated to PJ that Commutative has the root word "Commute" which means to move around (so terms swap placement), and the Associative property has the root word "associate" which can be thought of like grouping. Next, we did an activity with a bunch of examples and PJ had to determine if the example was displaying Commutative or Associative property.