our - mr. coleman's math site · title: tessellationinstructions author: teacher created date:...
TRANSCRIPT
Wh
at is a tessellatio
n?
A tessellatio
n is created when a shap
e is rep
eated over and o
ver again covering a
plane w
ithout any gap
s or o
verlaps.
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
Ho
w ca
n w
e ma
ke o
ur
o
wn
tessellation
?
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
We w
ill be using w
hat w
e call tessellations b
y translatio
ns or
rotatio
ns!
Ther
e ar
e THR
EE ways w
e can
cr
eate ou
r tessellatio
n design
.
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
1st W
ay: Cut a design fro
m tw
o adjacent edges
and m
ove them
to the o
pposite sides.
2
nd Way: C
ut an index card horizo
ntally and
vertically to create fo
ur pieces.
3rd W
ay: Cut a design fro
m tw
o o
pposite sides
and m
ove them
to o
ther two sides.
You can easily get this w
ith index cards. G
et with yo
ur neighbor and p
ut yo
ur index cards together like b
elow
. Draw
a light line to
show
where to
cut.
FIRST W
AY IN
STRUCTIO
NS
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
Start o
ut w
ith a 3x3 square.
You can easily
get this with index
cards. Get w
ith yo
ur neighbor
and put yo
ur index cards to
gether as sho
wn. D
raw a
light line to sho
w
where to
cut.
You can easily get this w
ith index cards. G
et with yo
ur neighbor and p
ut yo
ur index cards together like b
elow
. Draw
a light line to
show
where to
cut.
FIRST W
AY IN
STRUCTIO
NS
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
•You w
ill draw o
nto yo
ur index card a design on adjacent
sides. *Make sure yo
u don't have to
o sm
all of a design
because it w
ill bend and it m
ight fall off w
hen you trace it!
•You w
ill then cut this out and m
ove the p
iece you cut to
the opposite side o
f the index card. Tap
e the pieces to
gether.
Draw
a design on an
index card on tw
o edges.
Cut o
ut the p
ieces. M
ove the p
ieces to the o
pposite
sides and tape to
gether.
You can easily get this w
ith index cards. G
et with yo
ur neighbor and p
ut yo
ur index cards together like b
elow
. Draw
a light line to
show
where to
cut.
secon
d WA
Y INSTRU
CTION
S
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
•Draw
a horizo
ntal line and a vertical line through
the middle o
f your index card ho
wever yo
u like. •C
ut on the lines to
create 4 sep
arate pieces.
*The m
ore crazy the b
etter the outco
me!!
You can easily get this w
ith index cards. G
et with yo
ur neighbor and p
ut yo
ur index cards together like b
elow
. Draw
a light line to
show
where to
cut.
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
BA
D L
INE
E
xamples:
-lines too clo
se together
-lines too narro
w
-lines intersecting too m
any tim
es
GO
OD
LIN
E
Exam
ples:
-big lines
-lines intersect once
You can easily get this w
ith index cards. G
et with yo
ur neighbor and p
ut yo
ur index cards together like b
elow
. Draw
a light line to
show
where to
cut.
secon
d WA
Y INSTRU
CTION
S
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
You w
ill then move yo
ur pieces to
create your shap
e. •M
ove the left tw
o to
the right.
OLD
N
EW
You can easily get this w
ith index cards. G
et with yo
ur neighbor and p
ut yo
ur index cards together like b
elow
. Draw
a light line to
show
where to
cut.
secon
d WA
Y INSTRU
CTION
S
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
You w
ill now
move the to
p tw
o p
ieces to the b
otto
m.
The straight edges w
ill line up in the m
iddle. T
ape all 4
pieces to
gether!
OLD
N
EW
You can easily get this w
ith index cards. G
et with yo
ur neighbor and p
ut yo
ur index cards together like b
elow
. Draw
a light line to
show
where to
cut.
THIR
D WA
Y INSTRU
CTION
S
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
Starting w
ith a square index card D
raw a design
on tw
o o
pposite sides starting in the co
rners.
BA
D E
XA
MPLE
Design do
esn’t start in co
rners!
You can easily get this w
ith index cards. G
et with yo
ur neighbor and p
ut yo
ur index cards together like b
elow
. Draw
a light line to
show
where to
cut.
THIR
D WA
Y INSTRU
CTION
S
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
Cut o
ut design and tap
e to the tw
o sides w
ithout
designs. Be su
re to line u
p yo
ur co
rners!
You can easily get this w
ith index cards. G
et with yo
ur neighbor and p
ut yo
ur index cards together like b
elow
. Draw
a light line to
show
where to
cut.
THIR
D WA
Y INSTRU
CTION
S
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
Place yo
ur shap
e in the middle o
f the p
aper and start tracing!
You can easily get this w
ith index cards. G
et with yo
ur neighbor and p
ut yo
ur index cards together like b
elow
. Draw
a light line to
show
where to
cut.
THIR
D WA
Y INSTRU
CTION
S
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
Rotate yo
ur shap
e to line u
p w
ith the prev
ious tracing.
Continu
e until yo
ur p
aper is fu
ll.
You can easily get this w
ith index cards. G
et with yo
ur neighbor and p
ut yo
ur index cards together like b
elow
. Draw
a light line to
show
where to
cut.
THIR
D WA
Y INSTRU
CTION
S
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
Outline yo
ur shap
e with m
arker and then colo
r in yo
ur design! B
e creative!
You can easily get this w
ith index cards. G
et with yo
ur neighbor and p
ut yo
ur index cards together like b
elow
. Draw
a light line to
show
where to
cut.
Time to
tessellate!
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
•Start in the co
rner of yo
ur pap
er and trace around
your shap
e. Be careful and m
ove slo
wly.
•Translate it o
ver, line it up and trace again.
•Rep
eat until the entire poster has yo
ur design. •O
utline each shape w
ith a black m
arker.
You can easily get this w
ith index cards. G
et with yo
ur neighbor and p
ut yo
ur index cards together like b
elow
. Draw
a light line to
show
where to
cut.
Time to
colo
r!
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
•Make sure yo
u use at least 3 co
lors!!
•You m
ust alternate your
colo
rs in a pattern.
•Be as neat as p
ossib
le! •S
tay in the lines and take yo
ur time!
•Be creative!
Studen
t exa
mp
les
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
Studen
t exa
mp
les
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
Studen
t ex
am
ples
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
Studen
t exa
mp
les
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)
Studen
t exa
mp
les
© 2
016
Ha
yle
y C
ain
(Activit
y A
fter M
ath)