1 2 3 4 5 6 Standards Skills Concepts Through a Particular Cognitive Sample Activity Included in Included in Context Demand/ Standard Standard Levels of Thinking D-7.NS.2 Apply Extend Of fractions to fractions Apply Use banking deposits and withdrawals of equal Apply and extend previous multiplication to multiply and divide amounts for multiplying/dividing rational understandings of multiplication and and division rational numbers numbers. division and of fractions to multiply For example: and divide rational numbers. Doreen’s bank account is debited $50 a month to repay a loan. What is the total amount withdrawn in a year? D-7.NS.2a Understand that by requiring that Understand Sam has 18 meters of rope. He cuts off 1/5 of Understand that multiplication is multiplication operations continue to the rope to make a leash for his dog, Rupp. How extended from fractions to rational Interpret is extended satisfy the properties much rope did he use for the leash? numbers by requiring that from fractions of operations, operations continue to satisfy the to rational particularly the (18 ÷ 5 = 3.6 OR 1/5 x 18 = 3 3/5 or 1/5 x properties of operations, particularly numbers distributive property, 18 = 18/5) the distributive property, leading to leading to products products such as (–1)(–1) = 1 and the products rules for multiplying signed rational by describing numbers. Interpret products of numbers contexts rational numbers by describing contexts.
1 Standards 2 Skills Included in Standard 3 Concepts Included in Standard 4 Through a Particular Context 5 Cognitive Demand/ Levels of Thinking 6 Sample Activity D-7.NS.2 Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. Apply Extend multiplication and division Of fractions to fractions to multiply and divide rational numbers Apply Use banking deposits and withdrawals of equal amounts for multiplying/dividing rational numbers. For example: Doreen’s bank account is debited $50 a month to repay a loan. What is the total amount withdrawn in a year? D-7.NS.2a Understand that multiplication is extended from fractions to rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpret products of rational numbers by describing contexts. Understand Interpret that multiplication is extended from fractions to rational numbers products rational numbers by requiring that operations continue to satisfy the properties of operations, particularly the distributive property, leading to products by describing contexts Understand Sam has 18 meters of rope. He cuts off 1/5 of the rope to make a leash for his dog, Rupp. How much rope did he use for the leash? (18 ÷ 5 = 3.6 OR 1/5 x 18 = 3 3/5 or 1/5 x 18 = 18/5)
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