This is aligned with the following California State Standards:
Combine two or more sets of objects or numbers to form a new set. Divide a set of 10 or fewer objects into two or more distinct subsets (e.g., dividing a set containing 10 objects into two subsets containing 4 and 6 objects).
Demonstrate understanding that the sum or product of two numbers remains the same regardless of the order in which numerals are written (e.g., 3 + 4 = 4 + 3, 2 x 3 = 3 x 2) and that the sum or product of three or more numbers remains the same regardless of the grouping of the numbers [e.g., (2 + 3) + 5 = 2 + (3 + 5), 2 x (3 x 5) = (2 x 3) x 5].
Apply commutative (e.g., 3 + 4 = 4 + 3) and associative [e.g., (2 + 3) + 5 = 2 + (3 + 5)] properties of addition to add two or more numbers. Apply commutative (e.g., 3 4 = 4 3) and associative [e.g., (10 4) 2 = 10 (4 2)] properties of multiplication as strategies to multiply two or more numbers.
Recognize an expression equivalent to a given expression involving addition and subtraction operations by using commutative and associative properties of addition and multiplication {e.g., recognize [(3 + 4) - (5 x 6)] as an expression equivalent to [(4 + 3) - (6 x 5)]}.
Write two equivalent expressions that represent a given real-world problem. For example, Joe has 5 books, John has 7 books, and Kayla has 8 books. How many books do they have altogether? Two equivalent expressions that represent this word problem are (5 + 7) + 8 and (7 + 8) + 5.