Grade 5
It is essential that these standards be addressed in contexts
that promote problem solving, reasoning, communication, making connections, and
designing and analyzing representations.
Problem Solving Links
5.3 Geometry, Measurement,
and Algebra: Describe
and relate two-dimensional shapes to three-dimensional shapes and analyze their
properties, including volume and surface area.
5.3.1
Identify and classify triangles by their angles (acute, right, obtuse) and
sides (scalene, isosceles, equilateral).
5.3.2
Find and justify relationships among the formulas for the areas of triangles
and parallelograms.
5.3.3
Describe three-dimensional shapes (triangular and- rectangular prisms, cube,
triangular- and square-based pyramids, cylinder, cone, and sphere) by the
number of edges, faces, and/or vertices as well as types of faces.
5.3.4
Recognize volume as an attribute of three-dimensional space.
5.3.5
Determine volume by finding the total number of same-sized units of volume that
fill a three-dimensional shape without gaps or overlaps.
5.3.6
Recognize a cube that is one unit on an edge as the standard unit for measuring
volume.
5.3.7
Determine the appropriate units, strategies, and tools for solving problems that
involve estimating or measuring volume.
5.3.8
Decompose three-dimensional shapes and find surface areas and volumes of
triangular and rectangular prisms.
5.3.9 Identify and measure necessary attributes of shapes to
use area , surface area, and volume formulas to solve problems (e.g., to find
which of two gift boxes needs the most wrapping paper or has the greater
volume?).