Principles and Standards for School Mathematics
Number and Operations Standard
Understand numbers, ways of representing numbers, relationships among numbers, and number systems
Expectations (3 - 5)
explore numbers less than 0 by extending the number line and through familiar applications;
Understand meanings of operations and how they relate to one another
Expectations (3 - 5)
explore numbers less than 0 by extending the number line and through familiar applications;
understand and use properties of operations, such as the distributivity of multiplication over addition.
Expectations (6 - 8)
use the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition to simplify computations with integers, fractions, and decimals;
Compute fluently and make reasonable estimates
Expectations (3 - 5)
explore numbers less than 0 by extending the number line and through familiar applications;
understand and use properties of operations, such as the distributivity of multiplication over addition.
Expectations (6 - 8)
use the associative and commutative properties of addition and multiplication and the distributive property of multiplication over addition to simplify computations with integers, fractions, and decimals;
develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use;