Vertical Articulation of Individual
Grade Expectations for Mathematics
Vermont‘s Framework of Standards and Learning Opportunities 

Standard  M:8 Properties of Number

Introduction: 

Standard M:8 refers to the properties of number such as odd/even, composition/decomposition, commutative, associative, identity, factor, multiple, remainder, prime, and composite.

Kindergarten

MK: 8   No MK: 8 at this grade level

First Grade

M1: 8   Applies properties of numbers (odd, even, composition/decomposition [5 is the same as 2 + 3]) and operations (commutative, identity) to solve problems and to simplify computations involving whole numbers.

Second Grade

M2: 8 Applies properties of numbers (odd, even) and operations (commutative, associative, identity) to solve problems and to simplify computations involving whole numbers.

Third grade

M3: 8 Applies properties of numbers (odd, even) and applies the commutative and associative properties of addition to solve problems and to simplify computations.

Fourth Grade

M4: 8 Applies properties of numbers (odd, even, factor, multiple, remainders, composition/decomposition) to solve problems and to simplify computations.

Fifth grade

M5: 8 Applies properties of numbers (odd, even, factor, multiple, prime, composite, divisibility, remainders, composition/decomposition) to solve problems and to simplify computations.

Sixth Grade

M6: 8 Applies properties of numbers (factor, multiple, prime, composite, greatest common factor [GCF], least common multiple [LCM],
         composition/decomposition), divisibility, remainders), and commutative and associative properties of operations to solve problems and to
         simplify computations

Seventh Grade

M7: 8 Applies properties of numbers (greatest common factor [GCF], least common multiple [LCM], composition/decomposition, divisibility, prime
         factorization, inverses, and identities), and commutative, distributive, and associative properties of operations, and exponents using powers of
         ten and scientific notation to solve problems and to simplify computations.

Eighth Grade

M8: 8 Applies properties of numbers (greatest common factor [GCF], least common multiple [LCM], prime factorization, divisibility, inverses, and
         dentities), and commutative, distributive, and associative properties of operations to solve problems and to simplify computations.

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