Examples
The product 4×72 can be found by rewriting the expression as 4×(70+2) and then using the distributive property to obtain (4×70)+(4×2) which is equivalent to 288.Clarifications
Clarification 1: Within this benchmark, the expectation is to apply the associative and commutative properties of multiplication, the distributive property and name the properties. Refer to K-12 Glossary (Appendix C).Clarification 2: Within the benchmark, the expectation is to utilize parentheses.
Clarification 3: Multiplication for products of three or more numbers is limited to factors within 12. Refer to Properties of Operations, Equality and Inequality (Appendix D).
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Formative Assessments
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Original Student Tutorial
MFAS Formative Assessments
Students are given two arrays, one representing the equation 7 x 9 = 63 and the other representing the equation (5 + 2) x 9 = 63, to see if they recognize a relationship between the two.
Students are given two problems to solve, one represented by the equation 4 x 6 = 24 and the other by the equation 6 x 4 = 24, to see if they recognize the answer to the second problem based on the Commutative Property.
Students are asked to find the product of three numbers and are observed to see if they use the Associative Property to find the product more easily.
Original Student Tutorials Mathematics - Grades K-5
Learn strategies, like the commutative property, to help you become better at multiplying in this interactive tutorial.
Student Resources
Original Student Tutorial
Learn strategies, like the commutative property, to help you become better at multiplying in this interactive tutorial.
Type: Original Student Tutorial