Mathematics Curriculum Framework - November 2000
Learning Standards by Strand
for Grades 3-4
||Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships|
||Specify locations and describe spatial relationships using coordinate geometry and other representational systems|
||Apply transformations and use symmetry to analyze mathematical situations|
||Use visualization, spatial reasoning, and geometric modeling to solve problems|
Students engage in problem solving, communicating, reasoning, connecting, and representing as they:
||Compare and analyze attributes and other features (e.g., number of sides, faces, corners, right angles, diagonals, and symmetry) of two- and three-dimensional geometric shapes.
||Describe, model, draw, compare, and classify two- and three-dimensional shapes, e.g., circles, polygons-especially triangles and quadrilaterals-cubes, spheres, and pyramids.
||Recognize similar figures.
||Identify angles as acute, right, or obtuse.
||Describe and draw intersecting, parallel, and perpendicular lines.
||Using ordered pairs of numbers and/or letters, graph, locate, identify points, and describe paths (first quadrant).
||Describe and apply techniques such as reflections (flips), rotations (turns), and translations (slides) for determining if two shapes are congruent.
||Identify and describe line symmetry in two-dimensional shapes.
||Predict and validate the results of partitioning, folding, and combining two- and three-dimensional shapes.
Exploratory Concepts and Skills
- Predict and describe results of transformations (e.g., translations, rotations, and reflections) on two-dimensional shapes.
- Investigate two-dimensional representations of three-dimensional objects.