Partners for Mathematics Learning - Grade One Geometry Concepts
1
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
PARTNERS
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
Grade
One
Module
4
2
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
W
h
a
t
i
s
G
e
o
m
e
t
r
y
?
“geo”
-
means
earth
“metry”
–
means
measure
“Measurement
of
the
earth”
3
W
e
k
n
o
w
t
h
a
t
…
Children
develop
spatial
awareness
and
reasoning
over
time
as
a
result
of
what
they
experience
Very
early
they
learn
to
recognize
basic
shapes
even
when
they
do
not
always
attach
an
appropriate
term
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
4
E
s
s
e
n
t
i
a
l
S
t
a
n
d
a
r
d
s
Classify
according
to
geometric
attributes
2-D
shapes
as
parallelograms,
rhombuses,
trapezoids,
and
hexagons
and
3-D
shapes
as
prisms
and
pyramids
Compare
geometric
figures
in
terms
of
their
perspectives,
orientations,
attributes,
and
properties
Represent
different
perspectives
and
orientations,describe
a
figure’s
geometric
attributes
and
properties,
and
determine
how
figures
are
alike
and
different
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
5
W
h
a
t
D
o
W
e
R
e
m
e
m
b
e
r
?
Turn
to
handout
1
and
take
a
few
minutes
to
complete
the
chart
Think
about:
What
will
students
need
to
know
and
be
able
to
do
for
these
standards?
What
new
vocabulary
do
students
need
to
learn
this
year?
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
6
P
o
l
y
g
o
n
Closed
plane
figure
bounded
by
three
or
more
line
segments
that
meet
only
at
their
endpoints
2-D
figures
Can
be
classified
by
the
number
of
sides
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
polygons
NOT
polygons
7
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
Q
u
a
d
r
i
l
a
t
e
r
a
l
Polygon
with
four
sides
Why
are
these
figures
not
quadrilaterals?
8
P
a
r
a
l
l
e
l
o
g
r
a
m
Quadrilateral
with
opposite
sides
parallel
and
equal
in
length
Opposite
angles
are
congruent
parallelograms
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
9
R
e
c
t
a
n
g
l
e
Closed
figure
with
four
line
segments,
2
pairs
of
parallel
lines,
and
four
right
angles
(“square
corners”)
rectangles
NOT
rectangles
Students
need
to
see
rectangles
that
are
rotated
-
not
parallel
to
edge
of
paper
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
10
R
h
o
m
b
u
s
(
R
h
o
m
b
u
s
e
s
o
r
R
h
o
m
b
i
i
)
Have
four
sides
all
have
the
same
length
Closed
figure
with
opposite
sides
parallel
Diagonals
are
perpendicular
rhombus
NOT
rhombus
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
11
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
S
q
u
a
r
e
Has
four
sides
(line
segments)
all
of
the
same
length
as
well
as
four
right
angles
Every
square
is
a
rectangle
Closed
figure
squares
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
rhombuses
squares
polygons
12
S
q
u
a
r
e
s
A
r
e
R
h
o
m
b
u
s
e
s
A
r
e
…
quadrilaterals
rectangles
13
T
r
a
p
e
z
o
i
d
Closed
figure,
made
of
four
line
segments,
exactly
two
of
which
are
parallel
(one
pair
of
parallel
sides)
Red
pattern
block
is
an
example
trapezoid
NOT
trapezoid
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
14
H
e
x
a
g
o
n
Polygon
with
six
sides
The
yellow
pattern
block
(like
the
red
one
below)
is
a
hexagon
hexagons
not
hexagons
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
15
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
A
v
o
i
d
i
n
g
M
i
s
c
o
n
c
e
p
t
i
o
n
s
If
is
a
hexagon
Is
a
hexagon?
16
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
T
w
o
-
D
i
m
e
n
s
i
o
n
a
l
(
2
-
D
)
S
h
a
p
e
s
Also
called
plane
figures
Shapes
that
can
be
completely
seen
in
one
plane
(shown
on
a
flat
surface)
Circles
are
plane
figures
but
are
not
polygons
17
S
h
a
p
e
s
,
S
i
d
e
s
,
C
o
r
n
e
r
s
,
C
o
n
g
r
u
e
n
t
?
What
is
this
shape?
How
many
sides?
How
many
vertices?
How
can
I
cut
this
shape
to
get
two
smaller
rectangles?
Are
the
two
rectangles
congruent?
Are
there
other
ways
to
cut
this
shape
to
have
2
rectangles?
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
C
u
t
t
i
n
g
C
o
r
n
e
r
s
Get
5
index
cards
and
make
straight
cuts
from
one
side
to
an
adjacent
side
to
make…
A.
A
triangle
and
a
pentagon
B.
Two
quadrilaterals
that
are
trapezoids
C.
Two
rectangles
D.
Two
triangles
E.
A
triangle
and
a
quadrilateral
that
is
a
trapezoid
How
many
sides
and
vertices
are
there
for
each
shape?
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
18
19
A.
C
u
t
t
i
n
g
…
B..
C.
D.
E.
Do
your
shapes
have
to
look
exactly
like
these
to
be
correct?
Why
or
why
not?
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
20
S
h
a
p
e
s
o
n
a
G
e
o
b
o
a
r
d
Predict
how
many
examples
of
your
shape
(different
size
and
shape)
you
can
make
on
your
geoboard
Decide
how
you
will
keep
a
record
Make
a
shape,
record,
make
the
next
shape
(reuse
rubber
bands
so
that
only
one
figure
at
a
time
is
on
the
board)
Make
as
many
different
examples
as
you
can
using
your
geoboard
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
.
21
F
a
s
h
i
o
n
i
n
g
F
o
u
r
Use
a
geoboard
and
rubber
bands
to
create
four-sided
figures
How
many
different
shaped,
closed
figures
with
four
sides
can
you
create?
How
could
we
sort
these?
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
22
P
o
l
y
g
o
n
B
u
t
N
o
t
a
Q
u
a
d
r
i
l
a
t
e
r
a
l
?
Are
all
quadrilaterals
polygons?
Are
all
polygons
quadrilaterals?
All
squares
are
rectangles
Are
all
rectangles
squares?
Can
the
same
figure
be
a
parallelogram
and
a
rectangle
and
a
rhombus?
Are
all
polygons
closed
figures?
Are
all
plane
figures
polygons?
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
23
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
B
i
g
I
d
e
a
f
o
r
G
e
o
m
e
t
r
y
Two-dimensional
shapes
are
combined
to
make
three-dimensional
shapes
24
2
-
D
i
m
e
n
s
i
o
n
a
l
t
o
3
-
D
i
m
e
n
s
i
o
n
a
l
Polyhedron
means
“many
faces”
Edge--3-D
term
Formed
where
two
faces
coincide
Face—3-D
term
A
flat
surface
on
Vertex—a
point
A
polyhedron
where
two
or
more
(Faces
are
polygons)
edges
meet
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
25
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
P
y
r
a
m
i
d
Has
a
base
that
is
a
polygon
and
sides
that
are
triangles
Has
one
point
at
the
top,
called
an
apex
triangular
pyramid
square
pyramid
rectangular
pyramid
26
P
r
i
s
m
s
These
are
three-
dimensional
shapes
whose
sides
are
all
formed
by
polygons
They
are
prisms
because
ends
(or
bases)
are
congruent
and
sides
are
parallelograms
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
27
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
T
h
r
e
e
-
D
i
m
e
n
s
i
o
n
a
l
S
h
a
p
e
s
28
B
u
i
l
d
i
n
g
o
n
S
t
r
e
n
g
t
h
s
“Some
students'
capabilities
with
geometric
and
spatial
concepts
exceed
their
number
skills.
Building
on
these
strengths
fosters
enthusiasm
for
mathematics
and
provides
a
context
in
which
to
develop
number
and
other
mathematics
concepts.”
Razel
and
Eylon
1991
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
29
M
o
r
e
I
n
f
o
r
m
a
t
i
o
n
What
vocabulary
will
you
use
with
first
graders
to
teach
this
standard?
Give
examples
of
vocabulary
used
for:
Perspective
Orientation
Attribute
Property
Compare
geometric
figures
in
terms
of
their
perspectives,
orientations,
attributes,
and
properties
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
30
O
r
a
l
M
a
p
Stand
beside
your
chair
Count
your
steps
out
loud
as
you
move
toward
the
classroom
door
Say
which
way
you
are
turning
Keep
counting
out
loud
as
you
move
to
the
door
How
do
the
directions
change
if
you
go
back
to
your
seat
from
here?
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
31
T
h
e
P
a
t
h
H
o
m
e
Place
a
red
and
a
green
cube
on
opposite
sides
of
the
geoboard
Use
rubber
bands
to
make
a
path
from
one
cube
to
the
other
Describe
the
path
orally
and
have
your
partner
record
on
dot
paper
without
seeing
your
geoboard
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
32
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
O
v
e
r
t
h
e
W
a
l
l
Open
a
folder
to
make
a
“wall”
between
you
and
your
partner
Person
1
builds
a
design
with
pattern
blocks
Describe
how
your
partner
can
make
the
same
design
on
the
other
side
of
the
wall
Take
the
wall
down
and
see
if
the
shapes
are
the
same
Discuss:
What
additional
directions
might
you
give
students
as
they
first
do
the
task?
33
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
D
i
f
f
e
r
e
n
t
P
e
r
s
p
e
c
t
i
v
e
s
“From
where
I
am
standing…”
“When
I
look
up
I
see….”
“Looking
down
makes
it
look
like…”
34
M
o
r
e
I
n
f
o
r
m
a
t
i
o
n
Compose
and
decompose
geometric
figures
in
terms
of
their
perspectives,
orientations,
attributes,
and
properties
This
standard
has
been
changed
What
do
students
need
to
know
and
be
able
to
do
to
master
this
standard
as
it
now
exists?
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
35
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
P
a
t
t
e
r
n
B
l
o
c
k
P
u
z
z
l
e
s
Choose
a
puzzle
Cover
the
puzzle
with
pattern
block
pieces
How
many
pieces
did
you
use?
Did
someone
else
use
more
or
less?
36
G
o
o
d
M
o
v
e
s
…
How
did
you
begin
to
fill
in
the
puzzle
outline?
As
you
worked,
how
did
you
decide
where
to
place
your
blocks?
Did
your
strategy
change
as
the
puzzle
became
closer
to
being
full?
If
so,
how?
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
37
S
h
a
p
e
S
o
r
t
e
r
s
Small
groups
of
students
are
given
a
collection
of
geometric
solids
and
attribute
block
pieces
Students
then
Group
the
collection
in
several
different
ways
Share
findings
within
the
small
groups
Small
groups
share
sorting
possibilities
together
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
38
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
T
e
a
c
h
e
r
L
e
d
D
i
s
c
u
s
s
i
o
n
s
Ask
students
to
explain
their
sorts
Direct
students
to
sort
by
specific
criteria
Have
students
find
the
polygons
that
are
the
faces
for
the
polyhedra
Remember
-
this
is
a
year-long
activity!
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
39
M
o
d
e
l
W
a
y
s
T
o
R
e
c
o
r
d
Students
can
record
their
observations
and
comparisons
of
shapes
Stamping
Tracing
Drawing
Remember
-
activities
without
conversation
may
not
help
children
make
connections
40
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
T
w
o
-
P
i
e
c
e
S
h
a
p
e
s
Decomposing
2-D
shapes
Decompose
Taking
apart
Composing
2-D
shapes
Composing
Putting
together
41
T
w
o
-
P
i
e
c
e
S
h
a
p
e
s
How
many
different
ways
can
you
put
the
triangles
together?
Is
any
shape
bigger
than
another?
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
42
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
B
l
o
c
k
s
W
i
t
h
F
a
c
e
s
Trace
around
the
faces
on
each
block
Are
any
of
the
faces
the
same?
Are
any
of
the
faces
different?
How
many
faces
does
your
block
have?
Can
you
match
the
faces
you
drew
to
faces
on
other
blocks?
43
F
a
c
e
M
a
p
s
A
face
map
of
a
_____________
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
44
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
M
y
s
t
e
r
y
S
h
a
p
e
M
a
p
s
Whose
face
am
I?
45
M
y
S
h
a
p
e
J
o
u
r
n
a
l
Write
the
name
of
the
shape
on
the
line
Tell
how
you
know
this
is
the
name
of
your
shape
Draw
a
picture
OR
cut
a
picture
of
your
shape
from
a
magazine
What
does
your
shape
look
like?
kite
soup
can
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
46
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
Q
u
i
l
t
W
i
t
h
M
e
Choose
four
squares
Cut
some
of
the
squares
diagonally
Arrange
the
shapes
to
cover
the
card
What
shapes
do
you
see
in
your
quilt
square?
47
W
h
a
t
D
o
Y
o
u
S
e
e
?
Make
a
list
of
the
shapes
and
geometric
vocabulary
illustrated
in
your
square
Pass
your
square
to
the
person
on
your
right
Add
to
the
list
of
terms
illustrated
and
keep
passing
Put
your
squares
together
to
make
a
table
quilt
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
48
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
M
a
t
h
F
a
i
r
B
l
u
e
s
2-
and
3-dimensional
shapes
and
objects
help
Seth
and
his
friends
to
become
a
hit
at
the
Math
Fair
49
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
S
t
i
l
l
C
i
r
c
l
i
n
g
…
What
do
students
need
to
know
and
be
able
to
do
to
master
these
Essential
Standards?
50
D
P
I
M
a
t
h
e
m
a
t
i
c
s
S
t
a
f
f
Everly
Broadway,
Chief
Consultant
Renee
Cunningham
Kitty
Rutherford
Robin
Barbour
Mary
H.
Russell
Carmella
Fair
Johannah
Maynor
Amy
Smith
Partners
for
Mathematics
Learning
is
a
Mathematics-Science
Partnership
Project
funded
by
the
NC
Department
of
Public
Instruction.
Permission
is
granted
for
the
use
of
these
materials
in
professional
development
in
North
Carolina
Partners
school
districts.
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
51
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
P
M
L
D
i
s
s
e
m
i
n
a
t
i
o
n
C
o
n
s
u
l
t
a
n
t
s
Susan
Allman
Julia
Cazin
Ruafika
Cobb
Anna
Corbett
Gail
Cotton
Jeanette
Cox
Leanne
Daughtry
Lisa
Davis
Ryan
Dougherty
Shakila
Faqih
Patricia
Essick
Donna
Godley
Cara
Gordon
Tery
Gunter
Barbara
Hardy
Kathy
Harris
Julie
Kolb
Renee
Matney
Tina
McSwain
Marilyn
Michue
Amanda
Northrup
Kayonna
Pitchford
Ron
Powell
Susan
Riddle
Judith
Rucker
Shana
Runge
Yolanda
Sawyer
Penny
Shockley
Pat
Sickles
Nancy
Teague
Michelle
Tucker
Kaneka
Turner
Bob
Vorbroker
Jan
Wessell
Daniel
Wicks
Carol
Williams
Stacy
Wozny
52
2
0
0
9
W
r
i
t
e
r
s
P
a
r
t
n
e
r
s
S
t
a
f
f
Kathy
Harris
Rendy
King
Tery
Gunter
Judy
Rucker
Penny
Shockley
Nancy
Teague
Jan
Wessell
Stacy
Wozny
Amanda
Baucom
Julie
Kolb
Freda
Ballard,
Webmaster
Anita
Bowman,
Outside
Evaluator
Ana
Floyd,
Reviewer
Meghan
Griffith,
Administrative
Assistant
Tim
Hendrix,
Co-PI
and
Higher
Ed
Ben
Klein
,
Higher
Education
Katie
Mawhinney,
Co-PI
and
Higher
Ed
Wendy
Rich,
Reviewer
Catherine
Stein,
Higher
Education
Please
give
appropriate
credit
to
the
Partners
for
Mathematics
Learning
project
when
using
the
materials.
Jeane
Joyner
,
Co-PI
a
nd
Project
Director
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
53
Partners
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
PARTNERS
f
o
r
M
a
t
h
e
m
a
t
i
c
s
L
e
a
r
n
i
n
g
Grade
One
Module
4
Explore key geometry concepts for grade one mathematics learning, including shapes, classifications, and spatial reasoning. Understand the importance of developing spatial awareness and reasoning in young learners. Delve into topics such as polygons, quadrilaterals, parallelograms, rectangles, and rhombuses. Discover essential standards and vocabulary crucial for students to grasp for successful learning outcomes.
Download Presentation
Please find below an Image/Link to download the presentation.
The content on the website is provided AS IS for your information and personal use only. It may not be sold, licensed, or shared on other websites without obtaining consent from the author. Download presentation by click this link. If you encounter any issues during the download, it is possible that the publisher has removed the file from their server.
E N D
Presentation Transcript
1 PARTNERS forMathematicsLearning GradeOne Module4 Partners forMathematicsLearning
2 WhatisGeometry? geo -meansearth metry meansmeasure Measurementoftheearth Partners forMathematicsLearning
3 Weknowthat Childrendevelopspatial awarenessandreasoning overtimeasaresultof whattheyexperience Veryearlytheylearnto recognizebasicshapes evenwhentheydonot alwaysattachan appropriateterm Partners forMathematicsLearning
4 EssentialStandards Classifyaccordingtogeometricattributes2-D shapesasparallelograms,rhombuses, trapezoids,andhexagonsand3-Dshapesas prismsandpyramids Comparegeometricfiguresintermsoftheir perspectives,orientations,attributes,and properties Representdifferentperspectivesand orientations,describeafigure sgeometric attributesandproperties,anddeterminehow figuresarealikeanddifferent Partners forMathematicsLearning
5 WhatDoWeRemember? Turntohandout1andtakeafewminutes tocompletethechart Thinkabout:Whatwillstudentsneedto knowandbeableto doforthesestandards? Whatnewvocabulary dostudentsneedto learnthisyear? Partners forMathematicsLearning
6 Polygon Closedplanefigureboundedbythreeor morelinesegmentsthatmeetonlyattheir endpoints NOTpolygons polygons 2-Dfigures Canbeclassifiedbythenumberofsides Partners forMathematicsLearning
7 Quadrilateral Polygonwithfoursides Whyarethesefiguresnotquadrilaterals? Partners forMathematicsLearning
8 Parallelogram Quadrilateralwithoppositesidesparallel andequalinlength Oppositeanglesarecongruent parallelograms Partners forMathematicsLearning
9 Rectangle Closedfigurewithfourlinesegments,2 pairsofparallellines,andfourrightangles ( squarecorners ) NOTrectangles rectangles Studentsneedtoseerectanglesthatare rotated-notparalleltoedgeofpaper Partners forMathematicsLearning
10 Rhombus(RhombusesorRhombii) Havefoursidesallhavethesamelength Closedfigurewithoppositesidesparallel Diagonalsareperpendicular NOTrhombus rhombus Partners forMathematicsLearning
11 Square Hasfoursides(linesegments)allofthe samelengthaswellasfourrightangles Everysquareisarectangle Closedfigure squares Partners forMathematicsLearning
12 SquaresAreRhombusesAre quadrilaterals rectangles squares rhombuses polygons Partners forMathematicsLearning
13 Trapezoid Closedfigure,madeoffourlinesegments, exactlytwoofwhichareparallel(onepair ofparallelsides) Redpatternblockisanexample trapezoid NOTtrapezoid Partners forMathematicsLearning
14 Hexagon Polygonwithsixsides Theyellowpatternblock(liketheredone below)isahexagon hexagons nothexagons Partners forMathematicsLearning
15 AvoidingMisconceptions If isahexagon Is ahexagon? Partners forMathematicsLearning
16 Two-Dimensional(2-D)Shapes Alsocalledplanefigures Shapesthatcanbecompletelyseenin oneplane(shownonaflatsurface) Circlesareplanefiguresbutarenot polygons Partners forMathematicsLearning
17 Shapes,Sides,Corners,Congruent? Whatisthisshape? Howmanysides? Howmanyvertices? HowcanIcutthisshapetogettwo smallerrectangles? Arethetworectanglescongruent? Arethereotherwaystocutthisshapeto have2rectangles? Partners forMathematicsLearning
18 CuttingCorners Get5indexcardsandmakestraightcuts fromonesidetoanadjacentsidetomake A.Atriangleandapentagon B.Twoquadrilateralsthataretrapezoids C.Tworectangles D.Twotriangles E.Atriangleandaquadrilateralthatisatrapezoid Howmanysidesandverticesaretherefor eachshape? Partners forMathematicsLearning
19 Cutting B.. A. C. D. E. Doyourshapeshavetolookexactlylike thesetobecorrect?Whyorwhynot? Partners forMathematicsLearning
20 . . . . . . . . . . . . . . . . . . . . . . ShapesonaGeoboard . .. Predicthowmanyexamplesofyourshape (differentsizeandshape)youcanmake onyourgeoboard Decidehowyouwillkeeparecord Makeashape,record,makethenext shape(reuserubberbandssothatonly onefigureatatimeisontheboard) Makeasmanydifferentexamplesasyou canusingyourgeoboard Partners forMathematicsLearning
21 FashioningFour Useageoboardand rubberbandstocreate four-sidedfigures Howmanydifferent shaped,closedfigures withfoursidescanyou create? Howcouldwesortthese? Partners forMathematicsLearning
22 PolygonButNotaQuadrilateral? Areallquadrilateralspolygons? Areallpolygonsquadrilaterals? Allsquaresarerectangles Areallrectanglessquares? Canthesamefigurebeaparallelogram andarectangleandarhombus? Areallpolygonsclosedfigures? Areallplanefigurespolygons? Partners forMathematicsLearning
23 BigIdeaforGeometry Two-dimensionalshapesarecombinedto makethree-dimensionalshapes Partners forMathematicsLearning
24 2-Dimensionalto3-Dimensional Polyhedronmeans manyfaces Edge--3-Dterm Formedwhere twofaces coincideFace 3-Dterm Aflatsurfaceon Vertex apointApolyhedron wheretwoormore(Facesarepolygons) edgesmeet Partners forMathematicsLearning
25 Pyramid Hasabasethatisapolygonandsidesthat aretriangles Hasonepointatthetop,calledanapex triangularpyramid squarepyramid rectangularpyramid Partners forMathematicsLearning
26 Prisms Thesearethree- dimensionalshapes whosesidesareall formedbypolygons Theyareprisms becauseends(or bases)arecongruent andsidesare parallelograms Partners forMathematicsLearning
27 Three-DimensionalShapes Partners forMathematicsLearning
28 BuildingonStrengths Somestudents'capabilitieswith geometricandspatialconceptsexceed theirnumberskills.Buildingonthese strengthsfostersenthusiasmfor mathematicsandprovidesacontextin whichtodevelopnumberandother mathematicsconcepts. RazelandEylon1991 forMathematicsLearning
29 MoreInformation Whatvocabularywill youusewithfirst graderstoteachthis standard? Giveexamplesof vocabularyusedfor: Perspective Orientation Attribute Property Comparegeometricfigures intermsoftheir perspectives,orientations, attributes,andproperties Partners forMathematicsLearning
30 OralMap Standbesideyourchair Countyourstepsoutloudasyoumove towardtheclassroomdoor Saywhichwayyouareturning Keepcountingoutloudasyoumovetothe door Howdothedirectionschangeifyougo backtoyourseatfromhere? forMathematicsLearning
31 ThePathHome Placearedandagreencube onoppositesidesofthe geoboard Userubberbandstomakea pathfromonecubetothe other Describethepathorallyand haveyourpartnerrecordon dotpaperwithoutseeingyour geoboard Partners forMathematicsLearning
32 OvertheWall Openafoldertomakea wall betweenyouandyourpartner Person1buildsadesignwithpatternblocks Describehowyourpartnercanmakethe samedesignontheothersideofthewall Takethewalldownandseeiftheshapes arethesame Discuss:Whatadditionaldirectionsmight yougivestudentsastheyfirstdothetask? Partners forMathematicsLearning
33 DifferentPerspectives FromwhereIamstanding WhenIlookupIsee . Lookingdownmakesitlooklike Partners forMathematicsLearning
34 Composeanddecompose geometricfiguresinterms oftheirperspectives, MoreInformation orientations,attributes,and properties Thisstandardhasbeen changed Whatdostudentsneedto knowandbeabletodoto masterthisstandardasit nowexists? Partners forMathematicsLearning
35 PatternBlockPuzzles Chooseapuzzle Coverthepuzzlewithpatternblockpieces Howmanypiecesdidyouuse? Didsomeoneelseusemoreorless? Partners forMathematicsLearning
36 GoodMoves Howdidyoubegintofillinthe puzzleoutline? Asyouworked,howdidyou decidewheretoplaceyour blocks? Didyourstrategychangeas thepuzzlebecamecloserto beingfull?Ifso,how? Partners forMathematicsLearning
37 ShapeSorters Smallgroupsofstudentsaregivena collectionofgeometricsolidsandattribute blockpieces Studentsthen Groupthecollectioninseveraldifferentways Sharefindingswithinthesmallgroups Smallgroupssharesortingpossibilities together forMathematicsLearning
38 TeacherLedDiscussions Askstudentstoexplaintheirsorts Directstudentstosortbyspecificcriteria Havestudentsfindthepolygonsthatare thefacesforthepolyhedra Remember-thisisayear-longactivity! Partners forMathematicsLearning
39 ModelWaysToRecord Studentscanrecordtheirobservationsand comparisonsofshapes Stamping Tracing Drawing Remember-activitieswithout conversationmaynothelp childrenmakeconnections Partners forMathematicsLearning
40 Two-PieceShapes Decomposing2-Dshapes Decompose Takingapart Composing2-Dshapes Composing Puttingtogether Partners forMathematicsLearning
41 Two-PieceShapes Howmanydifferentwayscanyouputthe trianglestogether? Isanyshapebiggerthananother? Partners forMathematicsLearning
42 BlocksWithFaces Tracearoundthefacesoneachblock Areanyofthefacesthesame? Areanyofthefacesdifferent? Howmanyfacesdoesyourblockhave? Canyoumatchthefacesyoudrewto facesonotherblocks? Partners forMathematicsLearning
43 FaceMaps Afacemapofa_____________ Partners forMathematicsLearning
44 MysteryShapeMaps WhosefaceamI? Partners forMathematicsLearning
45 MyShapeJournal Writethenameoftheshapeontheline Tellhowyouknowthisisthenameofyour shape DrawapictureORcutapictureofyour shapefromamagazine Whatdoesyourshapelooklike? kite soupcan Partners forMathematicsLearning
46 QuiltWithMe Choosefoursquares Cutsomeofthesquaresdiagonally Arrangetheshapestocoverthecard Whatshapesdoyouseeinyourquilt square? Partners forMathematicsLearning
47 WhatDoYouSee? Makealistoftheshapesand geometricvocabularyillustrated inyoursquare Passyoursquaretothepersononyourright Addtothelistoftermsillustratedandkeep passing Putyoursquarestogethertomakeatable quilt Partners forMathematicsLearning
48 MathFairBlues 2-and3-dimensional shapesandobjects helpSethandhis friendstobecomea hitattheMathFair Partners forMathematicsLearning
49 StillCircling Whatdostudentsneedtoknowandbe abletodotomastertheseEssential Standards? Partners forMathematicsLearning
50 DPIMathematicsStaff EverlyBroadway,ChiefConsultant ReneeCunninghamKittyRutherford RobinBarbourMaryH.Russell CarmellaFairJohannahMaynor AmySmith PartnersforMathematicsLearningisaMathematics-Science PartnershipProjectfundedbytheNCDepartmentofPublicInstruction. Permissionisgrantedfortheuseofthesematerialsinprofessional developmentinNorthCarolinaPartnersschooldistricts. Partners forMathematicsLearning
