Georgia Performance Geometry Standards for Grades K - 8

Kindergarten

1. Students will correctly name simple two and three-dimensional figures, and recognize them in the environment.

2. Students will understand positional relationships.

3. Students will identify, create, extend, and transfer patterns from one representation to another using actions, objects, and geometric shapes.

Grade One

1. Students will study and create various two and three-dimensional figures and identify basic figures (squares, circles, triangles, and rectangles) within them.

2. Students will compare, contrast, and/or classify geometric shapes by the common attributes of position, shape, size, number of sides, and number of corners.

3. Students will arrange and describe objects in space by proximity, position, and direction (near, far, below, above, up, down, behind, in front of, next to, and left or right of).

Grade Two

1. Students will describe and classify plane figures (triangles, squares, rectangles, trapezoids, quadrilaterals, pentagons, hexagons, and irregular polygonal shapes) according to the number of edges and vertices and the sizes of angles (right angle, obtuse, acute).

2. Students will describe and classify solid geometric figures (prisms, cylinders, cones, and spheres) according to such things as the number of edges and vertices and the number and shape of faces and angles.

3. Students will describe the change in attributes as two and three-dimensional shapes are cut and rearranged.

Grade Three

1. Students will further develop their understanding of geometric figures by drawing them. They will also state and explain their properties.

Grade Four

1. Students will define and identify the characteristics of geometric figures through examination and construction.

2. Students will understand fundamental solid figures.

3. Students will use the coordinate system.

Grade Five

1. Students will understand congruence of geometric figures and the correspondence of their vertices, sides, and angles.

2. Students will understand the relationship of the circumference of a circle, its diameter, and pi.

Grade Six

1. Students will further develop their understanding of plane figures.

2. Students will further develop their understanding of solid figures.

Grade Seven

1. Students will construct plane figures that meet given conditions.

2. Students will demonstrate understanding of transformations.

3. Students will use the properties of similarity and apply these concepts to geometric figures.

4. Students will further develop their understanding of three-dimensional figures.

Grade Eight

1. Students will understand and apply the properties of parallel and perpendicular lines and understand the meaning of congruence.

2. Students will understand and use the Pythagorean Theorem.

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