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# National Standards for Grade 4 - Mathematics (page 6)

National Assessment Governing Board
Updated on Mar 14, 2011

#### Algebra

By grade 4, students are expected to be able to recognize and extend simple numeric patterns as one foundation for a later understanding of function. They can begin to understand the meaning of equality and some of its properties, as well as the idea of an unknown quantity as a precursor to the concept of variable.

 Grade 4 1) Patterns, relations, and functions a) Recognize, describe, or extend numerical patterns. b) Given a pattern or sequence, construct or explain a rule that can generate the terms of the pattern or sequence. c) Given a description, extend or find a missing term in a pattern or sequence. d) Create a different representation of a pattern or sequence given a verbal description. e) Recognize or describe a relationship in which quantities change proportionally. 2) Algebraic representations a) Translate between the different forms of representations (sym­bolic, numerical, verbal, or pictorial) of whole number re­lationships (such as from a written description to an equation or from a function table to a written description). b) Graph or interpret points with whole number or letter coordinates on grids or in the first quadrant of the coordinate plane. c) Verify a conclusion using algebraic properties. 3) Variables, expressions, and operations a) Use letters and symbols to represent an unknown quantity in a simple mathematical expression. b) Express simple mathematical relationships using number sentences. 4) Equations and inequalities a) Find the value of the unknown in a whole number sentence.