SED Home
Disclaimers and Notices
|
|
Back to EMSC Home SED Home Disclaimers and Notices |
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 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) |