Building
upon knowledge and skills gained in preceding
grades,
by the end of Grade 6, 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 4.2.6.A
Geometric
Properties
Standard 4.2.6.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 4.2.6.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 4.2.6.A.3
Identify similar figures.
Standard 4.2.6.A.4
Understand
and apply the concepts of congruence and symmetry
(line and rotational).
Standard 4.2.6.A.5
Compare
properties of cylinders, prisms, cones, pyramids,
and spheres.
Standard 4.2.6.A.6
Identify,
describe, and draw the faces or shadows (projections)
of three-dimensional geometric objects from different
perspectives.
Standard 4.2.6.A.7
Identify
a three-dimensional shape with given projections
(top, front and side views).
Standard 4.2.6.A.8
Identify
a three-dimensional shape with a given net (i.e.,
a flat pattern that folds into a 3D shape).
Standard 4.2.6.B
Transforming
Shapes
Standard 4.2.6.B.1
Use
a translation, a reflection, or a rotation to map
one figure onto another congruent figure.
Standard 4.2.6.B.2
Recognize,
identify, and describe geometric relationships and
properties as they exist in nature, art, and other
real-world settings.
Standard 4.2.6.C
Coordinate
Geometry
Standard 4.2.6.C.1
Create
geometric shapes with specified properties in the
first quadrant on a coordinate grid.
Standard 4.2.6.D
Units
of Measurement
Standard 4.2.6.D.1
Select
and use appropriate units to measure angles, area,
surface area, and volume.
Standard 4.2.6.D.2
Use
a scale to find a distance on a map or a length
on a scale drawing.
Standard 4.2.6.D.3
Convert
measurement units within a system (e.g., 3 feet
= ___ inches).
Standard 4.2.6.D.4
Know
approximate equivalents between the standard and
metric systems (e.g., one kilometer is approximately
6/10 of a mile).
Standard 4.2.6.D.5
Use
measurements and estimates to describe and compare
phenomena.
Standard 4.2.6.E
Measuring
Geometric Objects
Standard 4.2.6.E.1
Use
a protractor to measure angles.
Standard 4.2.6.E.2
Develop
and apply strategies and formulas for finding perimeter
and area.
· Triangle, square, rectangle, parallelogram,
and trapezoid
· Circumference and area of a circle
Standard 4.2.6.E.3
Develop
and apply strategies and formulas for finding the
surface area and volume of rectangular prisms and
cylinders.
Standard 4.2.6.E.4
Recognize
that shapes with the same perimeter do not necessarily
have the same area and vice versa.
Standard 4.2.6.E.5
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).
