Properties of Operations

Big Ideas

Mathematical relationships among numbers can be represented, compared, and communicated.

Mathematical relationships can be represented as expressions, equations and inequalities in mathematical situations.

Patterns exhibit relationships that can be extended, described, and generalized.

Essential Questions

How is mathematics used to quantify, compare, represent, and model numbers?

How can mathematics support effective communication?

How are relationships represented mathematically?

How can expressions, equations and inequalities be used to quantify, solve, model, and/or analyze mathematical situations?

How can patterns be used to describe relationships in mathematical situations?


Greater Than Less Than Song

Kids will practice place value for ones, tens and hundreds as they sing along with the alligator. Click on the picture to view this cute song.




Commutative Property Lesson

This cute video uses bathtub toys to demonstrate and explain the Commutative Property of Addition. It also connects this important concept to subtraction and how to use the facts to create a fact family. This video uses concrete objects along with written numbers to make an abstract math concept meaningful to young learners. Click on the picture to the left to view this video.





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Subtraction with picture models

Use this worksheet to have the students connect the task of subtraction to the Commutative Property of Addition.

Here's an activity that partners well with the Commutative Property video above.

Tip: After the students complete the worksheet, the teacher can connect the process of subtraction to the process of addition. The teacher will build a fact family using a subtraction problem from the worksheet to model the process (I do). Next, the class will do the same problem together by placing the math problem in their interactive math notebooks (we do). Finally, the students can work on this task independently (you do).

Click HERE to download this worksheet