Commutative Property Associative Property Identity Property Zero Property Distributive Property
1. Properties
of
Multiplication
–
Grades
3
and
4
(Standard
3AF1.5
&
4AF1.0)
Preparation:
Place
five
poster
sheets
with
each
property
and
an
example
of
the
property
in
different
areas
of
the
classroom.
(Posters
included
if
needed)
Commutative
Property
Associative
Property
of
of
Multiplication:
Multiplication:
When
multiplying,
the
The
way
in
which
the
order
of
t he
factors
does
factors
are
grouped
does
not
change
the
product.
not
change
the
product.
4 ! 2 = 8 (2 ! 3) ! 5 = 30
2!4 =8 2 ! (3 ! 5) = 30
Identity
Property
of
Zero
Property
of
Multiplication:
Multiplication:
When
any
number
is
When
any
number
is
multiplied
by
1,
the
multiplied
by
0,
the
product
is
that
number.
product
is
0.
6 ! 1 = 6
8 ! 0 = 0
Distributive
Property
of
Multiplication:
One
factor
in
a
multiplication
problem
can
be
broken
apart
to
find
partial
products.
He
sum
of
the
partial
products
is
the
product
of
the
two
factors.
6 ! 7 = (6 ! 5) + (6 ! 2)
1 MCC@WCCUSD (SBCMI) 10/15/11
2. Introduction:
Review
each
poster
as
a
whole
class.
(This
is
not
a
time
to
take
notes)
Tell
the
students
you
will
be
giving
them
a
sheet
of
paper
that
has
an
example
of
one
of
the
properties.
It
is
their
job
to
decide
which
property
their
example
represents.
Example
1:
The
teacher
models
turning
the
property
card
over
(i.e.
6
X
0),
decide
which
property
the
problem
is
an
example
of
(zero
property),
and
walking
to
the
poster
of
the
property
and
stand
holding
the
card
so
all
students
can
see
the
example.
The
whole
class
should
choral
respond
by
reading
6
X
0
=
0
is
an
example
of
the
zero
property
of
multiplication
because
any
number
times
zero
equals
zero.
(Teacher
should
model
at
least
two
cards)
Example
2:
Give
each
student
a
card
face
down
on
their
desk.
On
the
signal
students
turn
their
card
over
and
decide
which
property
their
example
represents.
The
students
will
then
walk
to
the
property
and
display
their
card
for
everyone
to
see.
The
teacher
walks
to
each
property
and
asks
the
class
if
they
agree
everyone
belongs
to
the
property
where
the
teacher
is
standing.
Have
a
group
discussion
about
similarities
and
difference
in
the
examples.
Students
return
to
their
desks
and
the
cards
are
all
collected.
You-‐Try
1:
Have
each
group
make
their
own
example
of
every
property
to
share
with
the
whole
class.
Students
should
be
creative
in
writing
their
examples
of
the
properties
and
not
use
the
same
examples
they
just
saw.
The
teacher
will
post
the
posters
around
the
room
and
each
group
will
take
a
“gallery
walk”
reviewing
other
students’
examples.
(The
assumption
is
the
class
knows
how
to
do
a
gallery
walk
otherwise
the
teacher
needs
to
take
a
few
minutes
to
review
the
expectations
of
a
GW).
You-‐Try
2:
Have
each
student
write
in
their
own
notebook
the
definition
of
each
property
and
their
own
example
of
each
property.
The
can
share
it
with
a
partner
to
check
their
work
and
reinforce
the
concepts.
(TPS)
2 MCC@WCCUSD (SBCMI) 10/15/11
3.
Date
Warm-‐Up
CST
#12
N.S.
1.5
Review:
Which number means Which number makes 1000 + 600 + 8 ? this sentence true? A. 168 7 +
= 10 B. 1068 A. 0 C. 1608 B. 3 C. 7 D. 1680 D. 17 Current:
Other:
Use the Commutative Kim had $19.23 in her wallet. Property to solve the She spent $5.72 to rent a following multiplication movie. How much money does problems. she have left? 3! 5 = 5! 3 = A. $13.51 B. $14.41 C. $14.61 8 !10 = 2) D. $24.95 10 ! 8 = Today’s
Objective/Standards:
Recognize
and
use
the
Properties
of
Multiplication
(3AF1.5
&
4AF1.0)
3 MCC@WCCUSD (SBCMI) 10/15/11
4. COMMUTATIVE
PROPERTY:
2
FACTORS
CAN
BE
MULTIPLIED
IN
ANY
ORDER
AND
THE
PRODUCT
WILL
BE
THE
SAME.
EXAMPLE:
2 ! 5 = 10
5 ! 2 = 10
4 MCC@WCCUSD (SBCMI) 10/15/11
5. ZERO
PROPERTY:
ANY
FACTOR
MULTIPLIED
BY
ZERO
WILL
EQUAL
ZERO.
0!5= 0 EXAMPLE:
5 MCC@WCCUSD (SBCMI) 10/15/11
6. IDENTITY
PROPERTY:
ANY
FACTOR
MULTIPLIED
BY
ONE
WILL
EQUAL
THAT
FACTOR.
5 !1 = 5 EXAMPLE:
6 MCC@WCCUSD (SBCMI) 10/15/11
7. DISTRIBUTIVE
PROPERTY:
A
PROBLEM
CAN
BE
BROKEN
APART
INTO
SIMPLE
PROBLEMS.
EXAMPLE:
6 ! 7 = (6 ! 5) + (6 ! 2)
6 ! 5 = 30
6 ! 2 = 12
6 ! 7 = (6 ! 5) + (6 ! 2)
= 30+ 12
= 42
7 MCC@WCCUSD (SBCMI) 10/15/11
8. ASSOCIATIVE
PROPERTY:
THE
WAY
IN
WHICH
THE
FACTORS
ARE
GROUPED
DOES
NOT
CHANGE
THE
PRODUCT.
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