2a. Understand that multiplication is Ability to identity and apply the following properties: extended from fractions to Multiplicative Inverse rational numbers by requiring Commutative Property of that operations continue to Multiplication satisfy the properties of Associative Property of operations, particularly the Multiplication distributive property, leading to Identity Property of products such as (–1)(–1) = 1 Multiplication and the rules for multiplying Recognize that rules for multiplying signed numbers signed numbers. Interpret remain the same for all products of rational numbers by rational numbers describing real-world contexts. 2b: Understand that integers can be Ability to explore and to justify the divided, provided that the result of division by 0 (zero) divisor is not zero, and every Ability to apply and extend knowledge of addition and quotient of integers (with subtraction of integers (i.e., two zero divisor) is a rational color counters, arrows on a number. If p and q are integers, number line) to multiplication and then: division Ability to use patterns and concrete models to devise a general rule for dividing integers: Interpret quotients of rational numbers by describing contexts. Ability to Identify and apply the following properties: 2c: properties of operations as Distributive Property strategies to multiply and divide Associative Properties Commutative Properties rational numbers. Identity Properties Ability to recognize that when rational numbers in fractional form
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 real-world contexts. 2b: Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with divisor) is a rational number. If p and q are integers, then: Interpret quotients of rational numbers by describing contexts. 2c: properties of operations as strategies to multiply and divide rational numbers. Ability to identity and apply the following properties: Multiplicative Inverse Commutative Property of Multiplication Associative Property of Multiplication Identity Property of Multiplication Recognize that rules for multiplying signed numbers remain the same for all rational numbers Ability to explore and to justify the result of division by 0 (zero) Ability to apply and extend knowledge of addition and subtraction of integers (i.e., two color counters, arrows on a number line) to multiplication and division Ability to use patterns and concrete models to devise a general rule for dividing integers: Ability to Identify and apply the following properties: Distributive Property Associative Properties Commutative Properties Identity Properties Ability to recognize that when rational numbers in fractional form zero
Common%20Math%20Lesson%20MD_Unit%20Plan_ALL_7%20NS%201-3%20Operations%20with%20Rational%20Nu_1.docx