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CROSSWALK
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) |