Lesson Plan

Explain why the product of two negative numbers is positive, using the distributive property and patterns in multiplication

Apply rules for multiplying signed numbers: same signs yield a positive product; different signs yield a negative product

Interpret products of rational numbers in real-world contexts, including contexts where the sign of the product has meaning

Divide rational numbers by applying the relationship between multiplication and division, using the fact that -(p/q) = (-p)/q = p/(-q)

Apply properties of operations (commutative, associative, distributive) as strategies to multiply and divide rational numbers efficiently

Convert a rational number to a decimal using long division and identify whether the decimal terminates or repeats

7.NS.A.2

7.NS.A.2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers. a. 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. b. Understand that integers can be divided, provided that the divisor is not zero, and every quotient of integers (with non-zero divisor) is a rational number. If p and q are integers, then -(p/q) = (-p)/q = p/(-q). Interpret quotients of rational numbers by describing real-world contexts. c. Apply properties of operations as strategies to multiply and divide rational numbers. d. Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.