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Comparison of 1998 Core Curriculum and 2005 Core Curriculum for Grades PreK-8

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 Prekindergarten-6

Grades Prekindergarten-1

Patterns with Numerical Relationships Grades 1-6 Grades 2-4
Geometric Patterns Grades Prekindergarten-6 Grades 1-5
Algebraic Patterns Grades 7-8 Grades 5-8
Symbolism (<, =, >) Grades 1-2 and 3-4 Grade 2 (whole numbers)

Grade 3 (fractions)

Grade 4 (decimals)

Grade 5 (fractions and decimals)

Variables and Expressions
(Definitions)
Grades 7-8 Grade 5
Translating Expressions Containing Variables Grades 7-8 Grade 5 (one-step expressions and equations)

Grades 6-7 (two-step expressions and equations)

Grade 8 (multi-step inequalities)

Evaluating Expressions Containing Variables Grades 7-8 Grade 6 (exponents of one, two, or three)

Grade 7 (absolute value and/or integral exponents > 0)

Solving Open Sentences Containing < or > Grades 3-4, 5-6, 7-8 Grade 4
Relations and Functions Grades 5-6, 7-8 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 5-6

 

Grade 5 (one-step equations using basic whole-number facts)

Grade 6 (two-step equations involving  whole numbers using inverse operations)

Grade 7 (multi-step 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 one-step inequalities using positive coefficients)

Grade 8 (solve and graph multi-step inequalities)

Solving Proportions Grades 5-6 Grade 6
Evaluating Formulas Grades 5-6 Grade 5 (perimeter)

Grades 6-7

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 7-8 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 Prekindergarten-8 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 7-8 Grade 8 (distinguish between linear and nonlinear equations ax2 + bx + c; a=1 (only graphically))
Quadratic Function Grades7-8 Grade 8 (recognize the characteristics of quadratics in tables, graphs, equations, and situations)
Right Triangle Trigonometry Grades 5-6 (readiness activities)

Grades 7-8

Algebra Course (high school)