Terminology

New or Recently Introduced Terms

• Array  (arrangement of objects in rows and columns)
  • Commutative property/commutative (g., rotate a rectangular array 90 degrees to demonstrate that factors in a multiplication sentence can switch places)
• Equal groups (with reference to multiplication and division; one factor is the number of objects in a group and the other is a multiplier that indicates the number of groups)
  • Distribute (with reference to the distributive property, g., in 12 × 3 = (10 × 3) + (2 × 3) the 3 is the multiplier for each part of the decomposition)
• Divide/division (partitioning a total into equal groups to show how many equal groups add up to a specific number, e.g., 15 ÷ 5 = 3
• Factors (numbers that are multiplied to obtain a product)
• Multiplication/multiply (an operation showing how many times a number is added to itself, g., 5 × 3 =15)
• Number of groups (factor in a multiplication problem that refers to the total equal groups)
• Parentheses (symbols ( ) used around an expression or numbers within an equation)
• Product (the answer when one number is multiplied by another)
• Quotient (the answer when one number is divided by another)
• Rotate (turn, used with reference to turning arrays 90 degrees)
• Row/column (in reference to rectangular arrays)
• Size of groups (factor in a multiplication problem that refers to how many in a group)
• Unit (one segment of a partitioned tape diagram)
  • Unknown (the missing factor or quantity in multiplication or division)