Expectations (Gr. 4)

Geometry and Spatial Sense: Grade 4

By the end of Grade 4, students will:

solve problems using geometric models;
investigate the attributes of three-dimensional figures and two-dimensional shapes using concrete materials and drawings;
draw and build three-dimensional objects and models;
explore transformations of geometric figures;
understand key concepts in transformational geometry using concrete materials and drawings;
describe location and movements on a grid;
use language effectively to describe geometric concepts, reasoning, and investigations, and coordinate systems.

Students will:

Three- and Two-Dimensional Geometry

identify the two-dimensional shapes of the faces of three-dimensional figures;
sketch the faces that make up a three-dimensional figure using concrete materials as models;
design and make skeletons (e.g., with straws or toothpicks and marshmallows) for three-dimensional figures;
identify and sort quadrilaterals (e.g., square, trapezoid);
sort and classify two-dimensional figures according to shape;
identify similar and congruent figures using a variety of media;
construct congruent figures in a variety of ways (e.g., cutting and matching, using a geoboard);
discover geometric patterns and solve geometric puzzles with and without the use of computer applications;
measure angles using a protractor;
use mathematical language to describe geometric ideas (e.g., line, angle);

recognize and describe the occurrence and application of geometric properties and principles in the everyday world;
discuss geometric concepts with peers and explain their understanding of the concepts;
discuss ideas, make connections, and articulate hypotheses about geometric properties and relationships;

Transformational Geometry

demonstrate an understanding of translations, reflections, and rotations (e.g., on a geoboard or dot paper);
apply translations, reflections, and rotations using concrete materials and drawings to pose and solve problems;
discover transformation patterns with and without the use of computer applications;
draw lines of symmetry on two-dimensional shapes;

Coordinate Geometry

demonstrate an understanding of coordinate systems and an ability to use them in simple games (e.g., chess, battleship, bingo).