our - mr. coleman's math site · title: tessellationinstructions author: teacher created date:...

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What is a tessellation? A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps. © 2016 Hayley Cain (Activity After Math)

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Page 1: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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)

Page 2: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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!

Page 3: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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.

Page 4: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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.

Page 5: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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.

Page 6: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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!!

Page 7: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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

Page 8: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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

Page 9: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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

Page 10: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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!

Page 11: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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!

Page 12: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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!

Page 13: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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.

Page 14: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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!

Page 15: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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.

Page 16: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

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!

Page 17: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

Studen

t exa

mp

les

© 2

016

Ha

yle

y C

ain

(Activit

y A

fter M

ath)

Page 18: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

Studen

t exa

mp

les

© 2

016

Ha

yle

y C

ain

(Activit

y A

fter M

ath)

Page 19: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

Studen

t ex

am

ples

© 2

016

Ha

yle

y C

ain

(Activit

y A

fter M

ath)

Page 20: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

Studen

t exa

mp

les

© 2

016

Ha

yle

y C

ain

(Activit

y A

fter M

ath)

Page 21: our - MR. COLEMAN'S MATH SITE · Title: TessellationInstructions Author: Teacher Created Date: 3/26/2019 11:43:19 PM

Studen

t exa

mp

les

© 2

016

Ha

yle

y C

ain

(Activit

y A

fter M

ath)