Access Point #: MAFS.7.NS.1.AP.2c (Archived Access Point)


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Write equations to represent rational number multiplication and division problems solved on a number line and generate rules for the products and quotients of rational numbers.

Clarifications:

Essential Understandings

Concrete:

  • Create an array of objects for the mathematical equation and match the answer symbol (+ or -) following division rules for an equation.
Representation:
  • Create a pictorial array for the mathematical equation and match the answer symbol (+ or -) following division rules for an equation.
  • Understand the following concepts, symbols, and vocabulary for: positive number, negative number.

Number: MAFS.7.NS.1.AP.2c Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers. (Major Cluster) : 

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.7.NS.1.2: Apply and extend previous understandings of multiplication and division and of fractions to multiply and divide rational numbers.
  1. 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.
  2. 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.
  3. Apply properties of operations as strategies to multiply and divide rational numbers.
  4. 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.



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