Standard 1: The student describes, draws, identifies, and analyzes two- and three-dimensional shapes.
Standard 2: The student visualizes and illustrates ways in which shapes can be combined, subdivided, and changed.
Standard 3: The student uses coordinate geometry to locate objects in both two and three dimensions and to describe objects algebraically.
Standard 1: The student describes, draws, identifies, and analyzes two- and three-dimensional shapes.
Grades PreK - 2
- understands and describes the characteristics of basic two- and three-dimensional shapes.
Grades 3 - 5
- given a verbal description, draws and/or models two- and three-dimensional shapes and uses appropriate geometric vocabulary to write a description of a figure or a picture composed of geometric figures.
Grades 6 - 8
- understands the basic properties of, and relationships pertaining to, regular and irregular geometric shapes in two and three dimensions.
Standard 2: The student visualizes and illustrates ways in which shapes can be combined, subdivided, and changed.
Grades PreK - 2
- understands basic concepts of spatial relationships,
symmetry, and reflections.
- uses objects to perform geometric transformations, including flips, slides, and turns.
Grades 3 - 5
- understands the concepts of spatial relationships, symmetry,
reflections, congruency, and
similarity
- predicts, illustrates, and verifies which figures could result from a flip, slide, or turn of a given figure.
Grades 6 - 8
- understands the geometric concepts of symmetry, reflections,
congruency, similarity,
perpendicularity, parallelism, and transformations, including flips,
slides, turns, and
enlargements.
- predicts and verifies patterns involving tessellations(a covering of a plane with congruent copies of the same pattern with no holes and no overlaps, like floor tiles).
Standard 3: The student uses coordinate geometry to locate objects in both two and three dimensions and to describe objects algebraically.
Grades PreK - 2
- uses real-life experiences and physical materials to
describe, classify, compare, and sort geometric figures,
including squares, rectangles, triangles, circles, cubes,
rectangular solids, spheres, pyramids, cylinders, and
prisms, according to the number of faces, edges, bases,
and corners.
- plots and identifies positive whole numbers on a number line.
Grades 3 - 5
- represents and applies a variety of strategies and geometric
properties and formulas for two-
and three-dimensional shapes to solve real-world and mathematical
problems.
- identifies and plots positive ordered pairs (whole numbers) in a rectangular coordinate system (graph).
Grades 6 - 8
- represents and applies geometric properties and relationships to
solve real-world and
mathematical problems.
- identifies and plots ordered pairs in all four quadrants of a rectangular coordinate system (graph) and applies simple properties of lines.