7.NS.2 - About the Math, Learning Targets, and Rigor

Grade 5 GT The Number System

7.NS.2

Full Standard


7.NS.A.2 Apply and extend previous understandings of multiplication and division of fractions to multiply and divide rational numbers.

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 non-zero divisor) is a rational number.  If p and q are integers, then  (pq)=(p)q=p(q).  Interpret quotients of rational numbers by describing real-world contexts.

2c. Apply properties of operations as strategies to multiply and divide rational numbers.

2d. 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.

 

Measurement Topic

This standard is reported on the report card in these quarters as follows:

5th Grade Students Learning 5 G/T Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

Report Card Measurement Topic: Demonstrates understanding of multiplication and division of different number types.

Report Card Measurement Topic: Demonstrates understanding of multiplication and division of different number types.

 

 

Learning Targets (I can)

  • Explain multiplication and division of integers and other rational numbers with representations.
  • Connect representations of multiplication and division of integers to equations.
  • Estimate the product or quotient of two integers or rational numbers.
  • Convert a rational number to a decimal.
  • Estimate the result of a converting a rational number to a decimal (e.g. 13/4 is a little more than 3 but less than 3.5).
  • Explain why a decimal terminates or repeats.
  • Solve real-world problems by multiplying and dividing integers and rational numbers.

 

About the Math

Students will add, subtract, multiply, and divide within the system of rational numbers. Because there are no specific standards for rational number arithmetic in later grades and because so much other work in Grade 5 GT depends on rational number arithmetic, fluency with rational number arithmetic should be the goal.

 

Progression of Standard within Grade 5 G/T 

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4
  • Explain multiplication and division of integers and other rational numbers with representations.
  • Connect representations of multiplication and division of integers to equations.
  • Estimate the product or quotient of two integers or rational numbers.
  • Convert a rational number to a decimal.
  • Estimate the result of a converting a rational number to a decimal (e.g. 13/4 is a little more than 3 but less than 3.5).
  • Explain why a decimal terminates or repeats.
  • Solve real-world problems by multiplying and dividing integers and rational numbers
  • Explain multiplication and division of integers and other rational numbers with representations.
  • Connect representations of multiplication and division of integers to equations.
  • Estimate the product or quotient of two integers or rational numbers.
  • Convert a rational number to a decimal.
  • Estimate the result of a converting a rational number to a decimal (e.g. 13/4 is a little more than 3 but less than 3.5).
  • Explain why a decimal terminates or repeats.
  • Solve real-world problems by multiplying and dividing integers and rational numbers

 

 
 

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

Progression Across Grades
Grade 6 Grade 8

Interpret and compute quotients of fractions and solve word problems (6.NS.1)

Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion (8.NS.1)

 

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