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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 Geometry and indicates the grade level that includes that topic in both the 1998 Core Curriculum and the 2005 Core Curriculum.

GEOMETRY

Concept/Skill

1998 Core Curriculum

2005 Core Curriculum

Identification of Geometric Shapes Prekindergarten-Kindergarten and Grades1-2 (informally)

Grades 3-4 (formally)

Prekindergarten-Kindergarten (informally)

Grades 1-2 (formally)

Grade 3 (refine terminology)

Characteristics of Geometric Shapes Grades Prekindergarten-1 and 2-3 (informally)

Grades 5-6 (more developed understanding)

Grades Kindergarten-5 (classification by sides and angles)
Parts of 3-Dimensional Shapes Grades Prekindergarten-4 (informally)

Grades 7-8

Grade 3 (identify the faces on a three-dimensional shape as two-dimensional shapes)

Grade 4 (vertices, faces, and edges)

Grade 7 (two-dimensional shapes that make up the faces and bases of prisms, cylinders, cones, and pyramids)

Transformational Geometry Grades 1-2, 3-4, and 7-8 (symmetry)

Grades 5-6, 7-8 (translation, rotation, and reflection)

Grades Kindergarten, 1, 2, 3, 5 (symmetry)

Grades 1-2 (reflection, translation, and rotation)

Grade 8 (formalize language of transformations, draw images, and study properties preserved and not persevered)

Congruency Grades 1-2 and 7-8 Grades 1, 3, 5
Similarity (Concept) Grades 7-8 Grades 3-5
Proportionality of Sides in Similar Triangles Grades 7-8 Grade 5 (ratio of corresponding sides of similar triangles)

Grade 6

Polygons Grades 3-4 Grade 4
Points, Rays, and Line Segments Grades 3-4 Grade 4
Perimeter of Polygons Grades 3-4 (non-formula)

Grades 5-6 and 7-8 (formula)

Grade 4 (adding the sides)

Grade 5 (regular and irregular polygons)

Area of Rectangles Grades 3-4 (by counting)

Grades 5-6 (by formula)

Grade 4 (counting squares)

Grade 6 (triangles and quadrilaterals)

Area of Polygons Grades 5-6 (using manipulatives and informal methods)

Grades 7-8 (by formula)

Grade 6 (by formula, use a variety of strategies to find the area of regular and irregular polygons)
Surface Area Grades 7-8 Grade 7 (rectangular prisms and cylinders)
Volume Grades 1-2 (informal non-standard units)

Grades 3-4 (explore)

Grades 5-6 (non-formula methods)

Grades 7-8 (formulas)

Grade 6 (rectangular prisms by counting cubes and develop formula)
Grade 7 (prisms and cylinders by formulas)
Intersecting, Perpendicular, and Parallel Lines Grades 3-4, 7-8 Grade 4

Grade 8

Angles Associated with Parallel Lines and a Transversal Grades 7-8 Grade 8
Classification of Angles Grades 5-6 Grade 4
Sum of the Interior Angles of a Triangle Grades7-8 Grade 5
Sum of the Angles of a Quadrilateral Grades 7-8 Grades 5, 7
Coordinate Geometry Plotting Points Grades 3-4, 5-6 (introduction)

Grades 7-8

Grade 5 (only first quadrant)

Grade 6 (all four quadrants)

Perimeter and Area on the Coordinate Plane Grades 7-8 Grade 5 (perimeter)

Grade 6 (area)

Parts of a Circle Grades 3-4, 5-6 Grade 6
Area and Circumference of a Circle Grades 5-6 (informal)

Grades 7-8 (formula)

Grades 6 (area and circumference using formulas)

Grade 7 (find radius or diameter give circumference or area)

Area of a Sector of a Circle Not addressed in Prekindergarten-8 Core Curriculum Grade 6
Pythagorean Theorem Grades 7-8 Grade 7
Vertical Angles Grades 7-8 Grade 8
Complementary and Supplementary Angles Grades 7-8 Grade 8
Slope and Y-Intercept of a Line Not addressed in Prekindergarten-8 Core Curriculum Grade 8
y = mx + b Form of a Straight Line Not addressed in Prekindergarten-8 Core Curriculum Grade 8
Constructions Grades 7-8 Grade 8 (segment congruent to a segment, angle congruent to an angle, perpendicular bisector, angle bisector)
Solve Systems of Equations Not addressed in Prekindergarten-8 Core Curriculum Grade 8 (solve graphically, only linear, integral solutions, format, no vertical/horizontal lines)