© T Madas

© T Madas

Use 1 regular hexagon and 6 half hexagons to fill a bigger regular hexagon

Filling up 2D space with shapesUse 3 regular hexagons and 7 equilateral triangles to fill a bigger equilateral triangle

Use 4 half hexagons to fill a bigger half hexagon

© T Madas

Use 1 regular hexagon and 3 small equilateral triangles to make up anequilateral triangle

Filling up 2D space with shapesUse 2 half hexagons and 2 equilateral triangles to make up a rhombus

Use 4 half hexagons to make up aparallelogram

© T Madas

© T Madas

© T Madas

Filling up 2D space with shapesShow how the shape below can be used to tile up the square

Show how the shape below can be used to tile up the square

Show how the shape below can be used to tile up the rectangle

© T Madas

Worksheets

© T Madas

Use 1

reg

ula

r h

exag

on

an

d

6

half

h

exag

on

s

to

fill

a

big

ger

reg

ula

r h

exag

on

Use 3

reg

ula

r h

exag

on

s a

nd

7

eq

uilate

ral

tria

ng

les t

o fi

ll

a b

igg

er

eq

uilate

ral tr

ian

gle

Use 4 h

alf

h

exag

on

s to

fi

ll

a

big

ger

half

h

exag

on

Use 1

reg

ula

r h

exag

on

an

d

6

half

h

exag

on

s

to

fill

a

big

ger

reg

ula

r h

exag

on

Use 3

reg

ula

r h

exag

on

s a

nd

7

eq

uilate

ral

tria

ng

les t

o fi

ll

a b

igg

er

eq

uilate

ral tr

ian

gle

Use 4 h

alf

h

exag

on

s to

fi

ll

a

big

ger

half

h

exag

on

© T Madas

Use 1

reg

ula

r h

exag

on

an

d 3

sm

all e

qu

ilate

ral

tria

ng

les t

o

make

up

an

eq

uilate

ral

tria

ng

le

Use 2

half

hexag

on

s a

nd

2

eq

uilate

ral

tria

ng

les t

o

make u

p a

rh

om

bu

s

Use 4 h

alf

h

exag

on

s to

m

ake

up

a

para

llelo

gra

m

Use 1

reg

ula

r h

exag

on

an

d

6

half

h

exag

on

s

to

fill

a

big

ger

reg

ula

r h

exag

on

Use 3

reg

ula

r h

exag

on

s a

nd

7

eq

uilate

ral

tria

ng

les t

o fi

ll

a b

igg

er

eq

uilate

ral tr

ian

gle

Use 4 h

alf

h

exag

on

s to

fi

ll

a

big

ger

half

h

exag

on

© T Madas

Sh

ow

h

ow

th

e sh

ap

e

belo

w c

an

be u

sed

to

tile

up

th

e s

qu

are

Sh

ow

h

ow

th

e

sh

ap

e

belo

w c

an

be u

sed

to

tile

up

th

e s

qu

are

Sh

ow

h

ow

th

e sh

ap

e

belo

w c

an

be u

sed

to

tile

up

th

e r

ecta

ng

le

Sh

ow

h

ow

th

e sh

ap

e

belo

w c

an

be u

sed

to

tile

up

th

e s

qu

are

Sh

ow

h

ow

th

e

sh

ap

e

belo

w c

an

be u

sed

to

tile

up

th

e s

qu

are

Sh

ow

h

ow

th

e sh

ap

e

belo

w c

an

be u

sed

to

tile

up

th

e r

ecta

ng

le

© T Madas

Sh

ow

h

ow

th

e sh

ap

e

belo

w c

an

be u

sed

to

tile

up

th

e s

qu

are

Sh

ow

h

ow

th

e

sh

ap

e

belo

w c

an

be u

sed

to

tile

up

th

e s

qu

are

Sh

ow

h

ow

th

e sh

ap

e

belo

w c

an

be u

sed

to

tile

up

th

e r

ecta

ng

le

Use 1

reg

ula

r h

exag

on

an

d

6

half

h

exag

on

s

to

fill

a

big

ger

reg

ula

r h

exag

on

Use 3

reg

ula

r h

exag

on

s a

nd

7

eq

uilate

ral

tria

ng

les t

o fi

ll

a b

igg

er

eq

uilate

ral tr

ian

gle

Use 4 h

alf

h

exag

on

s to

fi

ll

a

big

ger

half

h

exag

on

© T Madas