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Comparison of 1998 Core Curriculum and
2005 Core Curriculum for Grades PreK8
May 2005
The following chart lists the concepts and skills in Algebra and indicates the grade level that includes that topic in both the 1998 Core Curriculum and the 2005 Core Curriculum.
ALGEBRA 
Concept/Skill 
1998 Core Curriculum 
2005 Core Curriculum 
Simple Patterning 
Grades Prekindergarten6 
Grades Prekindergarten1 
Patterns with Numerical Relationships  Grades 16  Grades 24 
Geometric Patterns  Grades Prekindergarten6  Grades 15 
Algebraic Patterns  Grades 78  Grades 58 
Symbolism (<, =, >)  Grades 12 and 34  Grade
2 (whole numbers) Grade 3 (fractions) Grade 4 (decimals) Grade 5 (fractions and decimals) 
Variables and Expressions (Definitions) 
Grades 78  Grade 5 
Translating Expressions Containing Variables  Grades 78  Grade
5 (onestep expressions and equations) Grades 67 (twostep expressions and equations) Grade 8 (multistep inequalities) 
Evaluating Expressions Containing Variables  Grades 78 
Grade 6 (exponents of one, two, or three) Grade 7 (absolute value and/or integral exponents > 0) 
Solving Open Sentences Containing < or >  Grades 34, 56, 78  Grade 4 
Relations and Functions  Grades 56, 78 
Grade 4 (relations) Grade 7 (write from table of values) Grade 8 (domain and range; formal understanding of relation and function) 
Solving Linear Equations 
Grades 56

Grade 5 (onestep equations using basic
wholenumber facts) Grade 6 (twostep equations involving whole numbers using inverse operations) Grade 7 (multistep equations by combining like terms, using the distributive property, or moving variables to one side of the equation) 
Solving Linear Inequalities  Math A (high school) 
Grade 7 (solve and graph onestep inequalities
using positive coefficients) Grade 8 (solve and graph multistep inequalities) 
Solving Proportions  Grades 56  Grade 6 
Evaluating Formulas  Grades 56 
Grade 5 (perimeter) Grades 67 
Operations with Monomials  Math A (high school) 
Grade 7 (addition and subtraction
with exponents of 1) Grade 8 (multiplication and division) 
Polynomials  Math A (high school)  Grade
7 (definition) Grade 8 (operations using physical models, addition and subtraction, multiplication of monomial by binomial and binomial by binomial, division of polynomial by monomial (integer coefficients only)) 
Graphing  Grades 78  Grade
7 (straight line from a pattern or a table
Grade 8 (straight line given its equation) 
Sum of the Interior Angles of a Polygon  Math A (high school)  Grade 7 (informally derive from pattern) 
Graphing a Situation in Story Form  Implied in the Prekindergarten8 Core Curriculum  Grade 8 (describe a situation that matches a graph and vice versa) 
Factoring  Math A (high school)  Grade8 (expressions using GCF and trinomials in the form and c has no more than three sets of factors) 
Application  Math A (high school)  Grade 8 (algebraically find angles formed by parallel lines cut by a transversal or intersecting lines) 
Types of Equations  Grades 78  Grade 8 (distinguish between linear and nonlinear equations ax^{2} + bx + c; a=1 (only graphically)) 
Quadratic Function  Grades78  Grade 8 (recognize the characteristics of quadratics in tables, graphs, equations, and situations) 
Right Triangle Trigonometry 
Grades 56 (readiness activities) Grades 78 
Algebra Course (high school) 