Standards with the same topic and subject but for other grades
The student will investigate and recognize the distributive property of multiplication over addition.
The associative property of addition states that the sum stays the same when the grouping of addends is changed (e.g., 15 + (35 + 16) = (15 + 35) + 16).
Understand that the distributive property states that multiplying a sum by a number gives the same result as multiplying each addend by the number and then adding the products.
Understand that using the distributive property with whole numbers helps with understanding mathematical relationships.
Understand when and why the distributive property is used.
Investigate and recognize the distributive property of whole numbers, limited to multiplication over addition using diagrams and manipulatives.
Investigate and recognize an equation that represents the distributive property, when given several whole number equations, limited to multiplication over addition.
The associative property of multiplication states that the product stays the same when the grouping of factors is changed (e.g., 6 × (3 × 5) = (6 × 3) × 5).
The commutative property of addition states that changing the order of the addends does not affect the sum (e.g., 4 + 3 = 3 + 4). Similarly, the commutative property of multiplication states that changing the order of the factors does not affect the product (e.g., 2 × 3 = 3 × 2).
Investigate and describe the associative property for multiplication as (3 x 2) x 4 = 3 x (2 x 4).