Building
upon knowledge and skills gained in preceding
grades,
by the end of Grade 7, 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 4.2.7.A
Geometric
Properties
Standard 4.2.7.A.1
Understand
and apply properties of polygons.
· Quadrilaterals, including squares, rectangles, parallelograms, trapezoids,
rhombi
· Regular polygons
Standard 4.2.7.A.2
Understand
and apply the concept of similarity.
· Using proportions to find missing measures
· Scale drawings
· Models of 3D objects
Standard 4.2.7.A.3
Use
logic and reasoning to make and support conjectures
about geometric objects.
Standard 4.2.7.B
Transforming
Shapes
Standard 4.2.7.B.1
Understand
and apply transformations.
· Finding the image, given the pre-image, and vice-versa
· Sequence of transformations needed to map one figure onto another
· Reflections, rotations, and translations result in images congruent
to the pre-image
· Dilations (stretching/shrinking) result in images similar to the pre-image
Standard 4.2.7.C
Coordinate
Geometry
Standard 4.2.7.C.1
Use
coordinates in four quadrants to represent
geometric concepts.
Standard 4.2.7.C.2
Use
a coordinate grid to model and quantify transformations
(e.g., translate right 4 units).
Standard 4.2.7.D
Units
of Measurement
Standard 4.2.7.D.1
Solve
problems requiring calculations that involve
different units of measurement within a
measurement system (e.g., 4’3" plus
7’10" equals 12’1").
Standard 4.2.7.D.2
Select
and use appropriate units and tools to measure
quantities to the degree of precision needed
in a particular problem-solving situation.
Standard 4.2.7.D.3
Recognize
that all measurements of continuous quantities
are approximations.
Standard 4.2.7.E
Measuring
Geometric Objects
Standard 4.2.7.E.1
Develop
and apply strategies for finding perimeter
and area.
· Geometric figures made by combining triangles, rectangles and circles
or parts of circles
· Estimation of area using grids of various sizes
Standard 4.2.7.E.2
Recognize
that the volume of a pyramid or cone is one-third
of the volume of the prism or cylinder with
the same base and height (e.g., use rice
to compare volumes of figures with same base
and height).
