Bridges Competencies & Experiences
Bridges is designed to enable students to achieve competency in specific areas by year-end while at the same time providing experiences that expose students to areas that will be mastered in subsequent years. See also Student Achievement.
The Competencies and Experiences outlined below capture this integrated plan across grades K-5. For details select View from the table below. You may also download documents by grade band: Grades K-2, Grades 3-5.
| Subject Area | Grades K-2 | Grades 3-5 |
| Number Sense and Numeration | View | View |
| Computation | View | View |
| Algebraic Thinking | View | View |
| Data Analysis and Probability | View | View |
| Measurement | View | View |
| Geometry | View | View |
| Grades 3-5 Geometry | ||
| Third Grade | Fourth Grade | Fifth Grade |
| COMPETENCIES | ||
| Recognize, describe, compare, and draw a variety of 2- and 3-dimensional shapes (e.g., pentagon, octagon, square, rectangle, cube). | Identify, describe, and compare 2-D and 3-D geometrical shapes. Recognize congruent and similar shapes. | Use properties of triangles and quadrilaterals to determine the lengths of their sides and perimeters, and to identify, describe, compare, and classify different types of triangles and quadrilaterals. |
| Recognize 3-dimensional shapes (e.g., cubes, rectangular prisms, triangular prisms, spheres, pyramids, cones, and cylinders) in the environment. | Identify, describe, compare, and classify triangles and quadrilaterals by attributes of their sides and angles. (e.g., An equilateral triangle has sides of equal length and angles of equal measure. A square is a rectangle with congruent sides.) | Develop, understand, and apply the following properties: the sum of the angle measures in a triangle is 180 degrees and the sum of the angle measures in a quadrilateral is 360 degrees. |
| Identify, describe, and classify a variety of 2- and 3-dimensional shapes (e.g., quadrilaterals, octagons, cubes, cylinders, spheres) using such terms as sides, angles, faces, edges, and vertices. | Identify line and rotational symmetry in 2-D shapes and designs. Build or draw shapes with line and/or rotational symmetry. | Draw conclusions about the measures of corresponding sides and angles in two congruent or similar triangles or quadrilaterals. |
| Combine and divide shapes in more than one way to create other shapes. | Model, sketch, draw, and label points, lines, line segments, angles, rays, various polygons, and parallel, perpendicular, and intersecting lines. | Identify and build 3-dimensional objects from 2-dimensional representations. |
| Create shapes with lines of symmetry using concrete models. Identify shapes that have line symmetry. | Identify right, acute, and obtuse angles in isolation and in geometric figures. | Use measurement tools to accurately draw and label triangles, angles, and line segments. |
| Use and understand a variety of formal geometric terms, including side, face, edge, point, vertex, line segment, parallel, perpendicular, intersection, angles (right, acute, obtuse) and congruence | Understand angles as degrees of turn and make reasonable estimates of angle measures relative to 0, 90, and 180 degrees. | Identify and describe line and rotational symmetry in 2- and 3-D shapes and designs. |
| Identify right angles in geometric figures or in appropriate objects, and determine whether other angles are greater than or less than a right angle | Predict and describe the results of performing reflections (flips), rotations (turns) and translations (slides) of polygons. | Identify and describe a motion or series of motions that will show that two polygons are congruent. |
| Explore congruent figures. Recognize congruent and similar shapes. | Locate and identify coordinates of points on grids, maps, globes, and other charts. | Specify locations and describe spatial relationships and paths using coordinate geometry; find the distance between points along the horizontal and vertical lines of a coordinate system. |
| Identify the radius, diameter and circumference of a circle. | ||
| EXPERIENCES | ||
| Describe paths for moving from one location to another on a grid. | Explore circles in terms of radius, diameter and circumference. | |
| Explore the effects on 2-D shapes of transformations (reflections, rotations & translations) | Explore the fact that the sum of the angles in a quadrilateral equals 360 degrees. | |
| Explore rotational symmetry. | Build 3-D objects and sketch their 2-D representations. |
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| Explore the concept of congruence to draw conclusions about the measures of corresponding sides and angles of two quadrilaterals. | ||