This document outlines two units on mathematical concepts. Unit 1 discusses factors, multiples, and arrays including finding all possible arrays and multiples of given numbers and identifying all factors of other numbers. Unit 2 focuses on describing data shapes by discussing measuring data accurately, organizing data in tables and graphs, identifying typical values and outliers from the data, and designing a survey to collect and analyze original data.

1.
Unit
1:
Factors,
Multiples
and
Arrays
• Can
you
draw
all
the
possible
arrays
for
this
number?
(eg:
20,
30,
50,
100)
• How
do
you
know
that
you’ve
found
all
the
possible
arrays?
• What
are
some
of
the
multiples
of
(3,5,6,8,9)?
• How
did
you
find
the
multiples?
What
strategies
did
you
use
to
find
those
multiples?
• Can
you
find
all
the
factors
for
(12,
24,
36,
48,
50)?
• How
do
you
know
that
you’ve
found
all
of
the
factors
of
that
number?
Unit
2:
Describing
the
Shape
of
the
Data
• How
can
you
measure
a
person’s
height
accurately?
• How
can
you
collect
and
organize
a
set
(or
sets)
of
data?
• How
can
you
accurately
represent
a
set
(or
sets)
of
data?
• From
your
table
or
graph
of
the
data
you
collected,
what
do
you
notice
about
the
data?
• What
do
you
think
would
be
a
typical
number?
Why
do
you
say
that?
Give
proof
from
your
data
to
support
your
thinking.
• What
landmark
numbers
can
you
find
to
describe
your
graph?
-­‐median
-­‐range
(highest
–
lowest
number)
-­‐mode
Is
the
data
close
together
or
spread
out?
Are
there
any
clusters
or
clumps
of
data?
Are
there
any
outliers?
(Use
the
math
dictionary
on
the
class
blog
to
help
with
this
vocabulary)
Create
your
own
survey:
• Design
a
clear
survey
question.
If
you
can,
compare
two
different
groups
(eg:
males/females,
adults/children,
Thailand/USA)
• Collect
data
and
organize
it
clearly
(eg:
tally
chart,
table)
• Clearly
represent
the
data
(eg:
line
plot,
bar
graph)
• Describe
the
data
(eg:
range,
median,
mode,
clusters,
spread,
outliers)
• Write
a
conclusion
for
your
data.
What
did
you
find
out?