UNDERSTANDING THE STANDARD ESSENTIAL UNDERSTANDINGS ESSENTIAL KNOWLEDGE AND SKILLS (Background Information for Instructor Use Only) All students should The student will use problem solving, mathematical The distributive property states that multiplying a communication, mathematical reasoning, Understand that the distributive property states sum by a number gives the same result as connections, and representations to that multiplying a sum by a number gives multiplying each addend by the number and then the same result as multiplying each addend Investigate and recognize the distributive property of adding the products (e.g., by the number and then adding the whole numbers, limited to multiplication over 3(4 + 5) = 3 x 4 + 3 x 5, products. addition using diagrams and manipulatives. 5 x (3 + 7) = (5 x 3) + (5 x 7); or (2 x 3) + (2 x 5) = 2 x (3 + 5). Understand that the distributive property Investigate and recognize an equation that represents the with whole numbers helps with distributive property, when given several whole The distributive property can be used to simplify understanding mathematical relationships. number equations, limited to multiplication over expressions (e.g., 9 x 23 = 9(20+3) =180+ 27 = 207; addition. Understand when and why the distributive or 5 x 19 = 5(10 + 9) = 50 + 45 = 95). property is used. 6.19 The student will investigate and recognize a) the identity properties for addition and multiplication; b) the multiplicative property of zero; and c) the inverse property for multiplication. ESSENTIAL KNOWLEDGE AND UNDERSTANDING THE STANDARD ESSENTIAL UNDERSTANDINGS SKILLS (Background Information for Instructor Use Only)
UNDERSTANDING THE STANDARD (Background Information for Instructor Use Only) ESSENTIAL UNDERSTANDINGS ESSENTIAL KNOWLEDGE AND SKILLS 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 (e.g., 3(4 + 5) = 3 x 4 + 3 x 5, 5 x (3 + 7) = (5 x 3) + (5 x 7); or (2 x 3) + (2 x 5) = 2 x (3 + 5). The distributive property can be used to simplify expressions (e.g., 9 x 23 = 9(20+3) =180+ 27 = 207; or 5 x 19 = 5(10 + 9) = 50 + 45 = 95). All students should 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 the distributive property with whole numbers helps with understanding mathematical relationships. Understand when and why the distributive property is used. The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to 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. 6.19 The student will investigate and recognize a) the identity properties for addition and multiplication; b) the multiplicative property of zero; and c) the inverse property for multiplication. UNDERSTANDING THE STANDARD (Background Information for Instructor Use Only) ESSENTIAL UNDERSTANDINGS ESSENTIAL KNOWLEDGE AND SKILLS
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