Page 30 - 04MATY4 318 STEwsh DRM_Neat

Polydron or Clixi
• Turning shapes • • • • • • •••••••• square tiles, RM A 31
(for 1 cm squared paper)
OJ These shapes all have turning or rotational symmetry. rn Write the amount of turn anticlockwise between each pair of shapes in m.
Think of a way to put them in order.
W Complete these sentences.
a b
a t turn clockwise is the same as _ turn anticlockwise.
b t turn clockwise is the same as _ turn anticlockwise. 00
c t turn clockwise is the same as _ turn anticlockwise.
d 1 whole turn clockwise is the same as _ turn anticlockwise. a ~ turn b -l- turn
Draw the missing shapes on squared paper.
c i turn d ! turn
a b c
e
e ~ turn f 1 turn
~ ~ turn ± t urn , ~
~. M
clockwise ?I
- anticlocKw·'s~ ?
~.
a ! turn clockwise is
d e
the same as ~ turn
t turn t turn
There is i turn clockwise between these shapes. ~ turn clockwise.
~Iockwise ? ~ Jockwise ? ant·, c loc kwise
~ --+ . Lo--"> . ----7 ? b i turn clockwise is
the same as i turn
m Write the amount of turn clockwise between each pair of shapes.
Estimate before you check. clockwise.
[§3 Choose and record shapes to go here.
b ~ !,~ ' ~ 2. ~ a if-turn clockwise b? "2 tum anii.c.l..ockwlSe c if-twn anti.c.loc.kwise c ~ turn clockwise is
~
~
.
I
.? ?
?
.? .
the some as ! turn
-?
clockwise.
CHALLENGE
' \: ~ ~~c:i. d 1 whole turn
clockwise is the
same as 1 whole
turn clockwise.
OJ ~ [ID
Order of rotational symmetry: a I B I ~ I b c Open: choosing and
e (2), c (3), b (4), a (5), f (6), d (7) ~ B recording shapes to
B Y G R
G
show:
Y
a ! turn
~ clockwise
b { turn clockwise
~ IGI;IRI Challenge
a -l- turn b ~ turn c i turn e f c ~ turn clockwise
d ~ turn e -l- turn f 1 turn R B I;IGI~I
Y G
Open: design patterns
with turning symmetry
but no line symmetry.