The document provides information about Singapore Math training and implementation over three years. It includes the following: - Details of professional development sessions for teachers including the hours spent on topics like pedagogy, assessments, and lesson studies. - Plans for instructional blocks and homework for grades K-1 and 2-5 focused on developing number sense and fact fluency. - Examples of part-whole relationship activities using pictures, counting, and number bonds to teach foundational math skills. - Illustrations of how bar models can be used to represent word problems involving addition, subtraction, multiplication, division, and fractions.

1. Part-­‐Whole
Rela-onships
!"#$%&
Singapore
Math

2. 2010

4. Training
&
Implementa-on
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5. Math
Instruc/onal
Blocks
and
Minutes
K-­‐1
2-­‐5

6. Homework
K-­‐1
• Number
Sense
Games
or
Hands-­‐on
Tasks
• Fact
Games
• Online
Games
and
Tasks
(LiveBinder,
Math
in
Focus)
Gr.
2-­‐5
• FACT
PRACTICE
Online
Games
and
Tasks
(LiveBinder,
Math
in
Focus)
• Extra
Prac-ce
of
what
has
been
taught
• Extension
word
problems
of
what
has
been
taught
• Blackline
masters
from
district
instruc-onal
materials

7. Parts
and
Wholes
in
Pictures

8. Coun/ng
Look
&
Say
(Math
Talk)
Whole
Groups
Parts
of
the
Group
People
How
many
people?
How
many
adults?
How
many
soccer
players?
Soccer
Players
How
many
on
the
blue
team?
How
many
on
the
brown
team?
How
many
are
siVng?
How
many
are
standing?
Challenge
What
if
2
more
blue
players
come?
What
if
one
brown
player
gets
hurt?

11. Numbers
to
20

12. Grown
Up
Task:
Ten
Frames

13. Number
Bonds

14. Number
Bonds
to
Find
Unknowns

15. Building
Mental
Math
Habits

16. Number
Bonds
in
Upper
Grades

17. Grown
Up
Task:
Number
Bonds
How
many
are
under
the
other
cup?

18. Part-­‐Whole
Tens
&
Ones

19. Part-­‐Whole
Tens
&
Ones

20. Tens
and
Ones

22. We
do
representa-ons
other
than
part-­‐whole!

23. Grown
Up
Task:
Place
Value
Strips
Build
and
add
two
4-­‐
digit
numbers

24. Part-­‐Whole
Bar
Models

25. Introducing
Bar
Models

26. Addi-on
Part-­‐Whole
Bar
Model
1.
Allison
jogs
6,860
meters
and
Calvin
jogs
5,470
meters.
How
far
do
the
jog
altogether?
2.
Mr.
Michaels
has
$1,685.
Ms.
Kaby
has
$2928
more
than
Mr.
Michaels.
How
much
money
does
Ms.
Kaby
have?

27. Subtrac-on
Part-­‐Whole
Bar
Model
1.
Brad
has
1,300
stamps.
He
has
938
Canadian
stamps
and
the
rest
are
Malaysian.
How
many
Malaysian
stamps
does
Brad
have?
2.
There
are
3,160
books
in
a
shop.
1,226
are
in
English.
817
books
are
in
Spanish
and
the
rest
are
in
French.
How
many
French
books
are
there?

28. Mul-plica-on
Part-­‐Whole
Bar
Model
1.
A
refrigerator
costs
5
-mes
as
much
as
a
television.
The
televisions
costs
$429.
How
much
do
they
cost
all
together?
2.
Lilian
sold
114
-ckets
to
the
fair.
Rohani
sold
2
-mes
as
many
-ckets
as
Lilian.
Daquan
sold
3
-mes
as
many
-ckets
as
Lilian.
How
many
-ckets
did
they
sell
all
together?

29. Division
Part-­‐Whole
Bar
Model
1.
Desmond
and
Melissa
collect
cards.
They
have
92
cards
in
all.
Melissa
has
three
-mes
as
many
cards
as
Desmond.
How
many
cards
does
Desmond
have?
2.
The
florist
buys
4
boxes
of
carna-ons.
There
are
21
carna-ons
in
each
box.
The
florist
puts
the
carna-ons
into
bouquets
of
6
carna-ons
each.
How
many
bouquets
of
carna-on
are
there?

30. Frac-on
Part-­‐Whole
Bar
Model
1.
Rachel
bakes
a
pie
for
her
friends.
Priscilla
eats
2/6
of
the
pie
and
gives
the
rest
to
Tom.
How
much
pie
did
Tom
get?
2.
Three
friends
share
a
grapefruit.
Elena
at
1/3
of
the
grapefruit.
Lee
at
1/9
of
the
grapefruit.
Sara
at
4/9
of
the
grapefruit.
What
frac-on
of
the
grapefruit
did
they
eat
altogether?

31. Add/Subtract
Challenge
Part-­‐Whole
Bar
Model
(3
Grade)
rd
1.
The
mass
of
a
can
full
of
paint
in
7
kilograms
400
grams.
When
half
the
paint
is
poured
out,
the
total
mass
of
the
can
is
4
kilograms.
What
is
the
mass
of
the
empty
can?

32. Mult/Div.
Challenge
Part-­‐Whole
Bar
Model
(3
Grade)
rd
1.
Candice,
Kerry,
and
Nathan
sold
a
total
of
85
-ckets
to
the
school
show.
Candice
sold
3
-mes
as
many
as
Nathan.
Kerry
sold
4
more
-ckets
than
half
of
what
Nathan
sold.
How
many
-ckets
did
Kerry
sell?

33. Part-­‐Whole
Rela-onships
!"#$%&
in
Singapore
Math
kbeane@somsd.k12.nj.us

34. Internet
Resources
Kimberly
Beane’s
Singapore
Math
LiveBinder
hbp://www.livebinders.com/play/play?id=132843
Or
go
to
livebinders.com
and
search
kbeane
Kimberly
Beane’s
Presenta-ons
and
Trainings
hbp://www.slideshare.net/KimberlyBeane/presenta-ons
Bar
Modeling
Explained
hbp://ul-math.com/model-­‐method/
hbp://www.teach-­‐kids-­‐math-­‐by-­‐model-­‐method.com
Bar
Model
Prac-ce
hbp://www.thinkingblocks.com/
Singapore
Math
Materials
hbp://www.singaporemath.com
hbp://www.crystalspringsbooks.com
(search
math)
Math
in
Focus
(Houghton
Mifflin-­‐Harcourt)
hbp://www.hmhco.com/shop/educa-on-­‐curriculum/math/math-­‐in-­‐focus-­‐
singapore-­‐math#sthash.FQFua8I0.OR8qH61B.dpbs