Lilburn Text FINAL REV - Math Solutions · Investigations, Tasks, and Rubrics to Teach and Assess...
2
118 Investigations, Tasks, and Rubrics to Teach and Assess Math Grades 5–6 Investigation 13 Ratio The Golden Ratio is a ratio of length to width and is approximately 1:1.618. This ratio not only appears in art and architecture, but also can be observed in nature and in the human body. The Golden Ratio is the ratio of a person’s total height to height from their feet to their navel. How does your total height compare to the height from your feet to your navel? Is it close to the Golden Ratio? Investigate other lengths, such as the distance from the waist to the floor and from the top of the head to the waist, to see whether a similar ratio exists between those measurements. Enter your data on a chart. How does your data compare to other members of your class? Things to consider How will you compare your data with other students in your class? From Investigations, Tasks, and Rubrics to Teach and Assess Math by Pat Lilburn and Alex Ciurak. © 2010 by Math Solutions. Permission granted to photocopy for nonprofit use in a classroom or similar place dedicated to face-to-face educational instruction.
Transcript of Lilburn Text FINAL REV - Math Solutions · Investigations, Tasks, and Rubrics to Teach and Assess...
118 Investigations, Tasks, and Rubrics to Teach and Assess Math
Grades
5–6
Investigation 13Ratio
The Golden Ratio is a ratio of length to width and is approximately 1:1.618. This rationot only appears in art and architecture, but also can be observed in nature and in thehuman body.
The Golden Ratio is the ratio of a person’s total height to height from their feet to their navel.
How does your total height compare to the height from your feet to your navel? Is it close to the Golden Ratio?
Investigate other lengths, such as the distance from the waist to the fl oor and from the top of the head to the waist, to see whether a similar ratio exists between those measurements.Enter your data on a chart.
How does your data compare to other members of your class?
Things to consider
How will you compare your data with other students in your class?
Fro
m In
vest
igat
ion
s, T
asks
, an
d R
ub
rics
to
Tea
ch a
nd
Ass
ess
Mat
h b
y Pa
t Li
lbu
rn a
nd
Ale
x C
iura
k. ©
201
0 b
y M
ath
So
luti
on
s. P
erm
issi
on
gra
nte
dto
ph
oto
cop
y fo
r n
on
pro
fit
use
in a
cla
ssro
om
or
sim
ilar
pla
ce d
edic
ated
to
fac
e-to
-fac
e ed
uca
tio
nal
inst
ruct
ion
.
133Additional Reproducibles 133
My Investigation Summary
Before the investigationWhat do I have to do?
__________________________________________________________________________________________________________________________________________________________________________________________________________________
What materials do I need?
__________________________________________________________________________________________________________________________________________________________________________________________________________________
How am I going to do it?
______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
After the investigationWhat did I do?
____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
What did I fi nd out?
______________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
Would I use the same approach again? Why or why not?
_______________________________________________________________________________________________________________________________________________________________________________________________________________
Reproducible 1Fr
om
Inve
stig
atio
ns,
Tas
ks, a
nd
Ru
bri
cs t
o T
each
an
d A
sses
s M
ath
by
Pat
Lilb
urn
an
d A
lex
Ciu
rak.
© 2
010
by
Mat
h S
olu
tio
ns.
Per
mis
sio
n g
ran
ted
to p
ho
toco
py
for
no
np
rofi
t u
se in
a c
lass
roo
m o
r si
mila
r p
lace
ded
icat
ed t
o f
ace-
to-f
ace
edu
cati
on
al in
stru
ctio
n.
