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

Standard  M:21 Algebra

Introduction: 

Standard M:21 refers to the development of conceptual understanding of algebraic expressions by using letters or symbols to represent unknown quantities

Kindergarten

MK: 21   No MK: 21 at this grade level

First Grade

M1: 21   No M1: 21 at this grade level

Second Grade

M2: 21   No M2: 21 at this grade level.

Third grade

M3: 21   No M3: 21 at this grade level

Fourth Grade

M4: 21 Demonstrates conceptual understanding of algebraic expressions by using letters or symbols to represent unknown quantities to write simple
  linear algebraic expressions involving any one of the four operations; or by evaluating simple linear algebraic expressions using whole numbers.
   M(F&A)–4–3

Fifth grade

M5: 21 Demonstrates conceptual understanding of algebraic expressions by using letters to represent unknown quantities to write linear algebraic
 expressions involving any two of the four operations; or by evaluating linear algebraic expressions using whole numbers. M(F&A)–5–3

Sixth Grade

M6: 21 Demonstrates conceptual understanding of algebraic expressions by using letters to represent unknown quantities to write linear
            algebraic expressions involving two or more of the four operations and consistent with order of operations expected at this grade
            level; or by evaluating linear algebraic expressions (including those with more than one variable); or by evaluating an expression
            within an equation (e.g., determine the value of y when x = 4 given y = 3 x – 2).M(F&A)–6–3

Seventh Grade

M7: 21 Demonstrates conceptual understanding of algebraic expressions by using letters to represent unknown quantities to write algebraic
           expressions (including those with whole-number exponents or more than one variable); or by evaluating algebraic expressions (including those
           with whole-number exponents or more than one variable); or by evaluating an expression within an equation (e.g., determine the value of y
            when x = 4 given y = 5 x³– 2). M(F&A)–7–3

Eighth Grade

M8: 21 Demonstrates conceptual understanding of algebraic expressions by evaluating and simplifying (including those with square roots, whole-
           number exponents, or rational numbers); or by evaluating an expression within an equation (e.g., determine the value of y when x = 4 given y
           = 7 √x + 2x).

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