Building
upon knowledge and skills gained in preceding
grades,
by the end of Grade 5, students will:
Standard 4.2
(Geometry
and Measurement) All students will develop
spatial sense and the ability to use geometric
properties, relationships, and measurement
to model, describe and analyze phenomena.
Standard 4.2.5.A
Geometric
Properties
Standard 4.2.5.A.1
Understand
and apply concepts involving lines and angles.
· Notation for line, ray, angle, line segment
· Properties of parallel, perpendicular, and intersecting lines
· Sum of the measures of the interior angles of a triangle is 180°
Standard 4.2.5.A.2
Identify,
describe, compare, and classify polygons.
· Triangles by angles and sides
· Quadrilaterals, including squares, rectangles, parallelograms,
trapezoids, rhombi
· Polygons by number of sides.
· Equilateral, equiangular, regular
· All points equidistant from a given point form a circle
Standard 4.2.5.A.3
Identify
similar figures.
Standard 4.2.5.A.4
Understand
and apply the concepts of congruence and
symmetry (line and rotational).
Standard 4.2.5.B
Transforming
Shapes
Standard 4.2.5.B.1
Use
a translation, a reflection, or a rotation
to map one figure onto another congruent
figure.
Standard 4.2.5.B.2
Recognize,
identify, and describe geometric relationships
and properties as they exist in nature, art,
and other real-world settings.
Standard 4.2.5.C
Coordinate
Geometry
Standard 4.2.5.C.1
Create
geometric shapes with specified properties
in the first quadrant on a coordinate grid.
Standard 4.2.5.D
Units
of Measurement
Standard 4.2.5.D.1
Select
and use appropriate units to measure angles
and area.
Standard 4.2.5.D.2
Convert
measurement units within a system (e.g.,
3 feet = ___ inches).
Standard 4.2.5.D.3
Know
approximate equivalents between the standard
and metric systems (e.g., one kilometer is
approximately 6/10 of a mile).
Standard 4.2.5.D.4
Use
measurements and estimates to describe
and compare phenomena.
Standard 4.2.5.E
Measuring
Geometric Objects
Standard 4.2.5.E.1
Use
a protractor to measure angles.
Standard 4.2.5.E.2
Develop
and apply strategies and formulas for finding
perimeter and area.
· Square
· Rectangle
Standard 4.2.5.E.3
Recognize
that rectangles with the same perimeter do
not necessarily have the same area and vice
versa.
Standard 4.2.5.E.4
Develop
informal ways of approximating the measures
of familiar objects (e.g., use a grid to
approximate the area of the bottom of one’s
foot).
