Topic 16: Analyzing, Comparing, and Composing Shapes K 2014-2015
Topic 16: Analyzing, Comparing, and Composing Shapes
Weeks: 32
Domain: Geometry
Cluster: Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
K.G. 2 Correctly name shapes regardless of their orientations or overall size.
Knowledge Targets
Know that size does not affect the name of
the shape.
“I Can” Statements
 I can name shapes when they are turned
different ways.
Know that orientation does not affect the
name of the shape.
Reasoning Target
Standard Interpretations
Students should be exposed to many types of
triangles in many different orientations in order
to eliminate the misconception that a triangle is
always right-side-up and equilateral.
Students should also be exposed to many
shapes in many different sizes.
Examples:
 Teacher makes pairs of paper shapes
that are different sizes. Each student is
given one shape and the objective is
to find the partner who has the same
shape.
Teacher brings in a variety of spheres (tennis
ball, basketball, globe, ping pong ball, etc) to
demonstrate that size doesn’t change the
name of a shape.
Performance Target
.
Make sense of
problems and
preserver in solving
them.
Reason abstractly and
quantitatively
Construct viable
arguments and
critiques the
reasoning of others
Model with
mathematics
Use appropriate tools
strategically
Attend to precision
Look for and make
use of structure
Look for and express
regularity in repeated
reasoning
Topic 16: Analyzing, Comparing, and Composing Shapes K 2014-2015
Cluster: Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
K.G.3 Identify shapes as two-dimensional (lying in a plane, “flat”) or three-dimensional (“solid”).
Knowledge Targets
Identify 2-dimensional shapes as lying in a
plane and flat
“I Can” Statements
 I can tell if shapes are flat or solid.
Identify 3-dimensional shapes as a solid
Reasoning Target
Standard Interpretations
Student should be able to differentiate
between two dimensional and three
dimensional shapes.
 Student names a picture of a shape as
two dimensional because it is flat and
can be measured in only two ways
(length and width).
 Student names an object as three
dimensional because it is not flat (it is
a solid object/shape) and can be
measured in three different ways
(length, width, height/depth).
Performance Target
.
Make sense of
problems and
preserver in solving
them.
Reason abstractly and
quantitatively
Construct viable
arguments and
critiques the
reasoning of others
Model with
mathematics
Use appropriate tools
strategically
Attend to precision
Cluster: Analyze, compare, create, and compose shapes
Look for and make
use of structure
Look for and express
regularity in repeated
reasoning
Topic 16: Analyzing, Comparing, and Composing Shapes K 2014-2015
K.G.4 Analyze and compare two- and three-dimensional shapes, in different sizes and orientations, using informal language to describe
their similarities, differences, parts (e.g., number of sides and vertices/”corners”) and other attributes (e.g., having sides of equal
length).
Knowledge Targets
“I Can” Statements
Standard Interpretations
Students analyze and compare two- and threeIdentify and count number of sides,
 I can analyze shapes.
dimensional shapes by observations. Their
vertices/”corners”, and other attributes of
 I can compare shapes.
visual thinking enables them to determine if
shapes
things are alike or different based on the
Reasoning Target
appearance of the shape. Students sort
objects based on appearance. Even in early
explorations of geometric properties, they are
introduced to how categories of shapes are
subsumed within other categories. For
instance, they will recognize that a square is a
special type of rectangle.
Describe similarities of various two- and threedimensional shapes
Describe differences of various two- and threedimensional shapes
Analyze and compare two-dimensional shapes, in
different sizes and orientations, using informal language
to describe their similarities, differences, and other
attributes (e.g. having sides of equal length).
Students should be exposed to triangles, rectangles,
and hexagons whose sides are not all congruent.
They first begin to describe these shapes using
everyday language and then refine their vocabulary
to include sides and vertices/corners. Opportunities
to work with pictorial representations, concrete
objects, as well as technology helps student develop
their understanding and descriptive vocabulary for
both two- and three- dimensional shapes.
Analyze and compare three-dimensional shapes, in
different sizes and orientations, using informal language
to describe their similarities, differences, parts (e.g.
number of sides and vertices/”corners”) and other
attributes (e.g. having sides of equal length).
Performance Target
.
Make sense of
problems and
preserver in solving
them.
Reason abstractly and
quantitatively
Construct viable
arguments and
critiques the
reasoning of others
Model with
mathematics
Use appropriate tools
strategically
Attend to precision
Cluster: Analyze, compare, create, and compose shapes
Look for and make
use of structure
Look for and express
regularity in repeated
reasoning
Topic 16: Analyzing, Comparing, and Composing Shapes K 2014-2015
K.G.5 Model shapes in the world by building shapes from components (e.g., sticks and clay balls) and drawing shapes.
Knowledge Targets
Recognize and identify (square, circles,
triangles, rectangles, hexagons, cubes,
cones, cylinders, spheres)
“I Can” Statements
 I can build shapes with blocks, clay,
sticks, and other materials.
Identify shapes in the real world
Reasoning Target
Standard Interpretations
Because two-dimensional shapes are flat and
three-dimensional shapes are solid, students
should draw two-dimensional shapes and build
three-dimensional shapes. Shapes may be
built using materials such as clay, toothpicks,
marshmallows, gumdrops, straws, etc.
Analyze the attributes of real world objects
to identify shapes.
Performance Target
Make sense of
problems and
preserver in solving
them.
Reason abstractly and
quantitatively
Construct viable
arguments and
critiques the
reasoning of others
Model with
mathematics
Use appropriate tools
strategically
Attend to precision
Look for and make
use of structure
Look for and express
regularity in repeated
reasoning
Topic 16: Analyzing, Comparing, and Composing Shapes K 2014-2015
Cluster: Analyze, compare, create, and compose shapes
K.G.6 Compose simple shapes to form larger shapes. For example, "Can you join these two triangles with full sides touching to
make a rectangle?”
Knowledge Targets
Identify simple shapes
(squares, triangles, rectangles, hexagons)
“I Can” Statements
Standard Interpretations


Students use pattern blocks, tiles, or paper
shapes and technology to make new two- and
three-dimensional shapes. Their investigations
allow them to determine what kinds of shapes
they can join to create new shapes. They
answer questions such as “What shapes can
you use to make a square, rectangle, circle,
triangle? …etc.”
Reasoning Target
I can build shapes from other shapes.
I can compose shapes from other
shapes.
Analyze how to put simple shapes together
to compose a new or larger shape
Performance Target
Compose a new or larger shape using more
than one simple shape.
Make sense of
problems and
preserver in solving
them.
Reason abstractly and
quantitatively
Construct viable
arguments and
critiques the
reasoning of others
Model with
mathematics
Use appropriate tools
strategically
Attend to precision
Look for and make
use of structure
Look for and express
regularity in repeated
reasoning
Topic 16: Analyzing, Comparing, and Composing Shapes K 2014-2015
Vocabulary
Same shape
Same size
Roll
Stack
Slide