J K L 54 = 9 * 6 9 * 6 = 9 (3 + 3) 12 * 7 = 7 * 12 M N O 7 * 12 = 7 (6 + 6) 9 (3 + 3) = (9 * 3) + (9 * 3) (2 * 6) * 7 = 2 (6 * 7) P Q R 6 (4 + 5) = 6 * 4 + 6 *5 a * b = b * a S T U a (b + c) = (a * b) + (a * c) (a * b) * c = a * (b * c) (a * b) + (a * c) = a (b + c) V W X Grouping factors in any way Multiplying numbers in any Finding the product of a number and a sum is the same as finding the sum will result in the same will result in the same of the products of the number and product. product. each individual addend. Y Z AA Commutative Property Distributive Property Associative Property (Ordering) (Sharing) (Grouping) Protocol for Looking at Student Work Read the task and discuss what it is assessing. Solve the problem individually Share your thinking with a partner Discuss the mathematics of the task as a group
J 54 = 9 * 6 K 9 * 6 = 9 (3 + 3) L 12 * 7 = 7 * 12 M 7 * 12 = 7 (6 + 6) N 9 (3 + 3) = (9 * 3) + (9 * 3) O (2 * 6) * 7 = 2 (6 * 7) P 6 (4 + 5) = 6 * 4 + 6 *5 Q R a * b = b * a S a (b + c) = (a * b) + (a * c) T (a * b) * c = a * (b * c) U (a * b) + (a * c) = a (b + c) V Grouping factors in any way will result in the same product. W Multiplying numbers in any will result in the same product. X Finding the product of a number and a sum is the same as finding the sum of the products of the number and each individual addend. Y Commutative Property (Ordering) Z Distributive Property (Sharing) AA Associative Property (Grouping) Protocol for Looking at Student Work Read the task and discuss what it is assessing. Solve the problem individually Share your thinking with a partner Discuss the mathematics of the task as a group
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