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2nd Grade Math
Number and Operations
13. TX.2.6.A
13.5 Turnarounds
Turnarounds: Commutative Property of Multiplication
Discover how turnarounds let you flip the order of factors in a multiplication fact without changing the answer, and why this makes facts easier to learn.
What You'll Learn
Recognize that a turnaround fact swaps the order of factors, such as \( 3 \times 4 \) and \( 4 \times 3 \), without changing the product
Apply the rule \( a \times b = b \times a \) to check whether two multiplication facts are turnarounds of each other
Use an array model to see why turning rows into columns keeps the total number of dots the same
Identify turnaround pairs quickly to cut the number of multiplication facts you need to memorize in half
Compare turnarounds in multiplication to addition, and recognize the rule does not work for subtraction or division
What You'll Practice
1
Writing pairs of matching multiplication facts from arrays
2
Identifying turnaround facts for products up to 99
3
Mentally rotating arrays to find equivalent expressions
Why This Matters
Understanding turnaround facts helps you memorize multiplication tables faster by cutting the number of facts you need to learn in half. This powerful shortcut makes mental math quicker and builds your number sense for algebra and beyond.
This Unit Includes
Practice exercises
Learning resources
Skills
Multiplication
Commutative Property
Arrays
Fact Families
Mental Math
TX Curriculum Aligned