year 3 - norfolk&suffolk hub · pdf filenorfolk and suffolk primary assessment working...
TRANSCRIPT
No
rfolk
an
d S
uffo
lk P
rima
ry A
ss
es
sm
en
t Wo
rkin
g P
arty
Th
is p
roje
ct w
as
led
by th
e E
du
ca
tor S
olu
tion
s M
ath
em
atic
s T
ea
m
an
d fu
nd
ed
by th
e N
orfo
lk a
nd
Su
ffolk
Ma
ths
Hu
b.
Gu
ida
nc
e o
n fo
rma
tive
as
se
ss
me
nt m
ate
rials
to e
xe
mp
lify flu
en
cy, re
as
on
ing
an
d p
rob
lem
so
lvin
g
Ye
ar 3
For m
ore
info
rmatio
n a
nd to
mak
e a
bo
okin
g
ww
w.e
du
ca
tors
olu
tion
s.o
rg.u
k o
r ca
ll 01
60
3 3
077
10
De
ar C
olle
agu
e
Ple
ase
find
atta
ch
ed
gu
ida
nce
writte
n b
y N
orfo
lk a
nd
Suffo
lk P
rima
ry te
ach
ers
to h
elp
un
pic
k
wh
at flu
en
cy, re
ason
ing a
nd
pro
ble
m s
olv
ing lo
oks lik
e in
ye
ar g
rou
ps 1
-6.
Ra
tion
ale
The
se
mate
rials
we
re p
rod
uce
d b
ecau
se
teach
ers
hig
hlig
hte
d a
ga
p o
n h
ow
to te
ach a
nd
asse
ss th
e P
urp
ose
of S
tud
y a
nd
the
thre
e a
ims o
f the
Prim
ary
ma
the
ma
tics c
urric
ulu
m (D
fE,
20
13
). Pre
vio
us in
ca
rna
tion
s o
f the
Prim
ary
Ma
them
atic
s N
atio
na
l Cu
rricu
lum
ha
ve
alw
ays
inclu
de
d g
uid
an
ce
(and
usua
lly o
bje
ctiv
es) o
n th
is a
rea
, alth
ou
gh
the
y h
ave
be
en k
no
wn
un
de
r
ma
ny d
iffere
nt n
am
es s
uch
as u
sin
g a
nd
ap
ply
ing, w
ork
ing m
ath
em
atic
ally
, pro
ble
m s
olv
ing o
r
inve
stig
atio
ns.
Alth
ou
gh
ea
ch
ye
ar g
rou
p c
on
tain
s o
bje
ctiv
es fo
r the
con
ten
t of th
e n
ew
cu
rricu
lum
(DfE
, 20
13
),
the
re a
re fe
w re
fere
nce
s in
the
bo
dy o
f the N
atio
na
l Cu
rricu
lum
tha
t exe
mp
lify flu
en
cy,
rea
so
nin
g o
r pro
ble
m s
olv
ing, a
nd
ye
t the
se
thre
e a
ims w
ill be
ob
se
rve
d, e
xa
min
ed
an
d te
ste
d.
In a
dd
ition to
the
se
mea
su
res th
ere
are
ma
ny (e
.g. N
RIC
H) w
ho
be
lieve
the
se a
ims a
re
pa
rticu
larly
imp
orta
nt w
ithin
the
lea
rnin
g o
f ma
them
atic
s fo
r all c
hild
ren
.
Org
an
isa
tion
of m
ate
rial
The
ma
teria
ls h
ave
bee
n p
rod
uce
d in
sin
gle
age
ye
ar g
rou
ps.
Tea
ch
ers
loo
ked
at a
nd
iden
tified
the b
ig id
ea
s in
ma
them
atic
s. T
en
big
ide
as w
ere
iden
tified
acro
ss e
ve
ry y
ea
r gro
up
. Th
ese
we
re in
form
ed
by th
e N
atio
na
l Cu
rricu
lum
ob
jectiv
es, th
e N
AH
T
KP
I’s (k
ey p
erfo
rma
nce
ind
icato
rs) a
nd
oth
er s
ou
rce
s s
uch
as N
CE
TM
an
d N
RIC
H. T
he
se
big
ide
as a
re o
nly
su
gge
stio
ns a
nd
co
uld
be
ch
ange
d, d
ele
ted o
r ad
ded
to d
ep
en
din
g o
n s
cho
ol
sp
ecific
crite
ria a
nd
foci.
Un
de
r ea
ch
big
ide
a a
re th
ree
bo
xe
s fo
r fluency, re
aso
nin
g a
nd
pro
ble
m s
olv
ing. T
he
first p
art o
f
ea
ch
bo
x in
clu
de
s s
om
e e
xe
mp
lificatio
n fo
r ea
ch
aim
. Th
ese s
tate
me
nts
are
inte
nde
d to
help
su
ppo
rt the
un
de
rsta
nd
ing o
f ea
ch
aim
with
in th
e b
ig id
ea
. Ho
we
ve
r, as a
bo
ve
, the
y a
re n
ot a
defin
itive
or c
om
ple
te lis
t and
tea
che
rs s
hou
ld c
ha
nge
an
d a
lter th
em
acco
rdin
gly
.
The
se
co
nd p
art o
f the b
ox in
clu
de
s s
om
e p
ossib
le a
ctiv
ities th
at c
ou
ld h
elp
sup
po
rt the
exe
mp
lifica
tion
of e
ach a
im. T
he
se
activ
ities h
ave
be
en s
ele
cte
d b
y th
e te
ache
rs a
nd
are
the
re
to s
up
po
rt the te
ach
ing a
nd le
arn
ing o
f ea
ch
aim
, bu
t are
no
t me
an
t to b
eco
me
a c
he
cklis
t.
Ma
ny o
f the a
ctiv
ities a
re th
e te
ach
er’s
ow
n, b
ut if th
ey b
elo
ng to
a s
ou
rce
this
ha
s b
ee
n
ackn
ow
led
ge
d u
nd
ern
ea
th th
e a
ctiv
ity. H
ow
eve
r, wh
ile th
is s
ectio
n is
usefu
l, the
bo
x w
hic
h
offe
rs p
ossib
le e
xe
mp
lificatio
n fo
r ea
ch
aim
is m
ore
impo
rtan
t in u
nde
rsta
nd
ing th
e p
urp
ose o
f
stu
dy o
f the
ma
them
atic
s c
urric
ulu
m.
For m
ore
info
rmatio
n a
nd to
mak
e a
bo
okin
g
ww
w.e
du
ca
tors
olu
tion
s.o
rg.u
k o
r ca
ll 01
60
3 3
077
10
Ca
se
Stu
dy
Ca
se
Stu
dy
Wo
rkin
g P
arty
Th
is p
roje
ct w
as le
d b
y th
e E
du
ca
tor S
olu
tions M
ath
em
atic
s T
eam
(Alis
on
Bo
rthw
ick) a
nd
fun
de
d b
y th
e N
orfo
lk a
nd
Suffo
lk M
ath
s H
ub .
Pe
op
le w
ho c
ontrib
ute
d to
the m
ate
rials
Co
pyrig
ht a
nd
us
ag
e o
f the
ma
teria
ls
Re
pro
du
ce
d w
ith k
ind
pe
rmis
sio
n o
f NR
ICH
, Un
ive
rsity
of C
am
brid
ge
.
Exa
mp
les fro
m T
ea
ch
ing
for M
aste
ry m
ate
rials
, text ©
Cro
wn
Co
pyrig
ht 2
015
, illustra
tion
an
d
de
sig
n ©
Oxfo
rd U
niv
ers
ity P
ress 2
01
5, a
re re
pro
du
ce
d w
ith th
e k
ind
pe
rmis
sio
n o
f the
NC
ET
M
an
d O
xfo
rd U
niv
ers
ity P
ress. T
he T
ea
ch
ing
for M
aste
ry m
ate
rials
ca
n b
e fo
und
in fu
ll on th
e
NC
ET
M w
eb
site
ww
w.n
ce
tm.o
rg.u
k/re
so
urc
es/4
668
9 a
nd
the
Oxfo
rd O
wl w
eb
site
http
s://
ww
w.o
xfo
rdo
wl.c
o.u
k/fo
r-s
ch
oo
l/18
16
With
in th
e p
ossib
le a
ctiv
ities to
exe
mp
lify flu
en
cy, re
aso
nin
g a
nd
pro
ble
m s
olv
ing, te
ach
er’s
ch
ose
activ
ities fro
m a
va
riety
of s
ou
rce
s, in
clu
din
g th
eir o
wn
wh
ich
the
y fe
lt sup
po
rted
this
ma
them
atic
al a
rea. H
ow
eve
r this
do
es n
ot m
ea
n th
at th
ese
activ
ities a
re lim
ited
to th
is s
ectio
n,
an
d w
ou
ld b
e s
uita
ble
for u
se
in e
ach
are
a o
f flue
ncy, re
ason
ing a
nd p
rob
lem
so
lvin
g.
On
be
ha
lf of T
he
No
rfolk
an
d S
uffo
lk P
rima
ry A
sse
ssm
en
t Wo
rkin
g P
arty
Be
st w
ish
es,
Alis
on
Bo
rthw
ick
alis
on
.bo
rthw
ick@
ed
uca
tors
olu
tion
s.o
rg.u
k
David
Bo
ard
(St J
oh
n’s
Prim
ary
, No
rfolk
) L
orn
a D
en
ham
(Saxm
un
dh
am
Prim
ary
, Su
ffolk
)
Alis
on
Bo
rthw
ick (M
ath
em
atic
s A
dvis
er)
Vic
toria
Gate
sh
ill (Harle
sto
n P
rimary
, No
rfolk
)
Liz
Bo
nn
ely
kke (S
tan
ton
Prim
ary
, Su
ffolk
) R
os M
iller (H
eth
ers
ett J
un
ior, N
orfo
lk)
Hele
n C
hatfie
ld (C
aven
dis
h P
rimary
, Su
ffolk
) C
herri M
osele
y (F
reela
nce C
on
su
ltan
t)
Sh
eila
Day (W
ind
mill F
ed
era
tion
, No
rfolk
) H
ele
n N
orris
(Du
ssin
gd
ale
Prim
ary
, No
rfolk
)
Refe
ren
ces
Departm
ent fo
r Educatio
n (D
fE), (2
013), M
ath
em
atic
s
Pro
gra
mm
e o
f Stu
dy K
ey S
tages 1
an
d 2
. Lon
don
: DfE
.
McIn
tosh, J
. (201
5) F
inal R
eport o
f the C
om
mis
sio
n o
n
Assessm
ent W
ithou
t Leve
ls. L
ond
on: C
row
n C
opyrig
ht.
ww
w.N
RIC
H.m
ath
s.o
rg w
ww
.ncetm
.org
.uk
For m
ore
info
rmatio
n a
nd to
mak
e a
bo
okin
g
ww
w.e
du
ca
tors
olu
tion
s.o
rg.u
k o
r ca
ll 01
60
3 3
077
10
Big
ide
as in
Ye
ar 3
1.
Co
un
t, com
pa
re a
nd
ord
er n
um
be
rs (u
p to
100
0).
2.
Re
co
gn
ise
and
use
the p
ositio
na
l, ad
ditiv
e a
nd
mu
ltiplic
ativ
e a
sp
ects
of p
lace
va
lue
(3 d
igit
nu
mb
ers
an
d to
on
e d
ecim
al p
lace
).
3.
De
ve
lop
num
be
r se
nse
to s
upp
ort m
en
tal c
alc
ula
tion.
4.
Ad
d a
nd s
ubtra
ct n
um
be
rs, re
co
gn
isin
g th
at th
ese
are
inve
rse
op
era
tion
s (u
p to
thre
e
dig
its).
5.
Mu
ltiply
an
d d
ivid
e n
um
be
rs, re
co
gn
isin
g th
at th
ese
are
inve
rse
opera
tion
s (fo
r at le
ast th
e
2, 3
, 4, 5
, 8 a
nd
10
time
s ta
ble
s a
nd
2 d
igit b
y 1
dig
it).
6.
Use
alg
eb
ra to
exp
ress p
atte
rns a
nd
gen
era
lisa
tion
s w
ithin
ma
them
atic
s.
7.
(a) R
eco
gn
ise
fractio
ns o
f sha
pe
s, o
bje
cts
and
qu
an
tities (u
nit a
nd
no
n-u
nit).
(b) C
alc
ula
te w
ith fra
ctio
ns (a
dd
an
d s
ub
tract w
ith th
e s
am
e d
eno
min
ato
r with
in a
wh
ole
).
8.
Ch
oo
se, u
se a
nd
com
pa
re a
va
riety
of u
nits
of m
ea
su
re to
an
app
rop
riate
leve
l of
accu
racy.
9.
Re
co
gn
ise
and
use
the p
rop
ertie
s o
f sh
ap
es, in
clu
din
g p
ositio
n a
nd d
irectio
n.
10
.
Co
llect, o
rga
nis
e a
nd in
terp
ret d
ata
.
Ex
am
ple
s from
Te
ach
ing
for M
aste
ry m
ate
rials, te
xt ©
Cro
wn
Co
py
righ
t 20
15
, illustra
�o
n a
nd
de
sign
© O
xfo
rd U
niv
ersity
Pre
ss
20
15
, are
rep
rod
uce
d w
ith th
e k
ind
pe
rmissio
n o
f the
NC
ET
M a
nd
Ox
ford
Un
ive
rsity P
ress. T
he
Te
ach
ing
for M
aste
ry m
ate
rials
can
be
fou
nd
in fu
ll on
the
NC
ET
M w
eb
site w
ww
.nce
tm.o
rg.u
k/re
sou
rces/4
66
89
an
d th
e O
xfo
rd O
wl w
eb
siteh
)p
s://
ww
w.o
xfo
rdo
wl.co
.uk
/for-sch
oo
l/18
16
Year 3:
Big idea 1: Count, compare and order numbers (up to 1000)
Fluency Reasoning Problem solving
Exemplification of fluency
• Count forwards and backwards in
steps of different sizes to 1000
• Count in multiples of 4, 8, 50 and
100
• Compare and order numbers up to 1000 using different representations
Exemplification of reasoning
• Explain and reason about patterns in number
sequences
• Identify the missing number in a sequence
• Use mathematical language when comparing
numbers
Exemplification of problem solving
• Solve problems in context (using
language such as greater, less than etc)
• Recognise mathematical connections
between numbers and patterns of
numbers
• Decide how to check if your conjecture
is correct
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Year 3:
Big idea 1: Count, compare and order numbers (up to 1000)
Possible activities to exemplify fluency
• Complete the sequences
45, __, __, __, __, __, __, __, 53
95, 96, 97, 98, ___, ___, ___, ___,
37, __, __, __, __, __, 97
79, 89, 99, ___, ___, ___,
345, ___, ___, ___, ___, ___, 945
426, ___, ___, ___, ___, ___, ___, 496
775, 785, 795, ___, ____, ____,
Possible activities to exemplify reasoning
• What could the tens digit of these number
sequences be and why?
__3, __3, __3, __3, __3, __3, __3,
__0, __5, __0, __5, __0
__2, __4, __6, __8, __0
Can you think of more ways to complete each?
Possible activities to exemplify problem solving
• Mystery number activities e.g
My numbers is a multiple of 50. It is between 200 and 400. It is not a multiple of 100. The hundreds digit is odd. What is my number?
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 2:
Recognise the positional, additive and multiplicative aspects of place value (of 3 digit numbers and
to one decimal place)
Fluency Reasoning Problem solving
Exemplification of fluency • Understand that e.g 847 is 8
hundreds, 4 tens and 7 ones and
this gives the additive value of the
whole number
• Understand the position of 0 as a
place holder
• Understand the positional place
value of each digit
• Understand that in the number 847
we can find the multiplicative place
value of each digit by multiplying
each digit by the column it is in eg 8
x 100 = 800
Exemplification of reasoning
• Explain and justify statements about positions
of digits
• Convince a friend of the value of each digit in
a three-digit number
• Explain why 640 is ten times bigger than 64
Exemplification of problem solving
• Use understanding of the value and
position of digits to solve problems
• Work systematically to find patterns in
numbers
• Use apparatus to represent problems
and organise thinking
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 2:
Recognise the positional, additive and multiplicative aspects of place value (of 3 digit numbers and
to one decimal place)
Possible activities to exemplify fluency
• Write these numbers correctly
(when read aloud)
735
834
518
750
803
607
701.4
530.8
Possible activities to exemplify problem solving
• ‘Always, sometimes, never – a 5 is worth
more than a 7’.
• A number with a 9 in the hundreds position is
greater than a number 3 in the hundreds
position.
• Is this statement always/sometimes/never
true?
Possible activities to exemplify problem
solving
• Use 1, 2 or 3 arrow cards from below to
make as many numbers 2 or 3 digit
numbers as possible….
3 0 0 7 0 8
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 3:
Develop number sense to support mental calculation
Fluency Reasoning Problem solving
Exemplification of fluency
• Adapt methods of calculation to suit
the numbers allowing efficient and
flexible calculation
• Use doubles and near doubles
• Use near tens and near hundreds
• Use jottings when needed
• Use known facts to work out
unknown facts
Exemplification of reasoning
• Explain and justify statements about
strategies for calculating mentally
• Use the vocabulary of doubles, near doubles,
tens and near tens, partitioning to reason
about numbers
• Compare methods
Exemplification of problem solving
• Use the 4 operations to calculate
efficiently to eg reach a target number
• Recognise there might be more than
one possible solution and find them
• Solve problems in different ways and
discuss which is the most efficient for
you
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 3:
Develop number sense to support mental calculation
Possible activities to exemplify fluency
• What is the most efficient way to
solve e.g
901 – 899?
378 + 201?
40 x 3?
Possible activities to exemplify reasoning
• Write 5, 3 digit numbers with a difference of 9
What do you notice?
655 – 8 =
495 – 8 =
725 – 8 =
645 – 8 =
Possible activities to exemplify problem
solving
• Make a model using 15 multilink cubes.
Cubes are worth
Blue – 12 points Pink – 15 points
Black – 18 points Green - 24 points
Can you make a model worth
150/200/250 points etc?
• Play ‘Countdown’
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 4:
Add and subtract numbers, recognising that these are inverse operations (with up to three digits)
Fluency Reasoning Problem solving
Exemplification of fluency
• Mentally add and subtract single
digits and multiples of 10 to three
digit numbers
• Use number bonds to calculate
• Partition numbers to add and
subtract
• Choose and use appropriate
strategies for addition and
subtraction, depending on the
numbers involved, working flexibly
• Understand and use the fact that
addition is the inverse of
subtraction and vice versa
• Understand that addition is commutative and subtraction is not
Exemplification of reasoning
• Use rounding and approximation to estimate answers and make decisions
• Use trial and improvement to make decisions and justify
• Explain and correct mistakes within a calculation
• Use the mathematical language for addition and subtraction
Exemplification of problem solving
• Solve problems involving number, money and measures
• Choose and use appropriate operations and strategies
• Use different representations to solve problems e.g. Bar Model
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 4:
Add and subtract numbers, recognising that these are inverse operations (with up to three digits)
Possible activities to exemplify fluency
• Which of these number sentences
have an answer that is between 50
and 60
100 – 50
200 - 150
174 - 119
333 – 276
932 – 871
Write 3 more subtraction sentences
with an answer between 50 and 60
Source: adapted from NCETM
Possible activities to exemplify reasoning
• Use these digits to complete the number sentences
2, 3, 4, 5, 6, 7, 8, 9
Possible activities to exemplify problem
solving
• Sam went to the toy shop with £150. He
left with between £40 and £20 change.
What could he have bought?
Scooter £119
Ball £8
Computer game £63
Large lego set £48
Doll £14
+ =
+ =
+ = 1 0
+ = 1 1
+ =
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 5:
Multiply and divide numbers, recognising that these are inverse operations (using 2, 3, 4, 5, 8 and 10
x table and 2 digits by 1 digit
Fluency Reasoning Problem solving
Exemplification of fluency • Count in multiples of 2,3,4,5,8 and
10
• Know or quickly derive
multiplication and division facts for
these tables
• Represent multiplication and
division facts as arrays
• Use inverses to check calculations
and find a missing number
• Multiply a two-digit by one-digit
number
Exemplification of reasoning
• Explain how multiples and factors support multiplication and division
• Use the language of multiplication and division
• Use apparatus and pictures to explain thinking
Exemplification of problem solving
• Solve problems involving measures and
money in context using multiplication
and division
• Choose and use appropriate methods
and strategies
• Be able to derive all 8 facts in a fact
family
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 5:
Multiply and divide numbers, recognising that these are inverse operations (using 2, 3, 4, 5, 8 and 10
x table and 2 digits by 1 digit
Possible activities to exemplify fluency
• Missing numbers
• 24 = x
• Which pairs of numbers could be written in the boxes?
• Making links - Cards come in packs of 4. How many packs do I need to buy to get 32 cards?
Source: adapted from NCETM
Possible activities to exemplify reasoning
• Explain why 27 x 5 = 227 must be incorrect
Possible activities to exemplify problem
solving
• 3 x 4 = 12
4 x 3 = 12
12 ÷ 3 = 4
12 ÷ 4 = 3
12 = 3 x 4
12 = 4 x 3
4 = 12 ÷ 3
• Roger has 40 patio slabs. Using all of
the slabs find three different ways that
he can arrange the slabs to form a
rectangular patio.
Source: adapted from NCETM
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 6:
Use algebra to express patterns and generalisations within mathematics
Fluency Reasoning Problem solving
Exemplification of fluency • Understand and use the equal sign
as the balance of an equation
• Recognise symbols/letters can represent numbers
• Use mathematical representations to notice, continue and generate patterns
• Recognise cyclical and linear patterns
Exemplification of reasoning
• Describe and explain patterns, leading to
predictions
• Give another, and another and another
example
• Use vocabulary such as repeating pattern,
replace, missing, insert
• Generalise and specify
Exemplification of problem solving
• Solve problems involving equivalence
• Solve missing number and shape
problems
• Solve problems that result in finding a generalisation
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 6:
Use algebra to express patterns and generalisations within mathematics
+ 3 = 4 x
Possible activities to exemplify fluency
• How many ways can you complete
Possible activities to exemplify reasoning
• NRICH Light the Lights
http://NRICH.maths.org/7044/solution
Possible activities to exemplify problem
solving
• 6 toy cars balance 2 dolls. 4 dolls
balance 1 toy robot
• If the robot weighs 3 kg, what does
each toy car weigh?
From NCETM ‘Teaching for Mastery’
Year 3
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 7(a):
Recognise fractions of shapes, objects and quantities (unit and non unit)
Fluency Reasoning Problem solving
Exemplification of fluency • Recognise fractions as numbers
• Count in steps of , • Represent fractions in different
ways • Compare and order fractions • Estimate positions between whole
numbers on a number line
• Write fractions in words and numbers
Exemplification of reasoning
• Discuss why ‘the smaller the denominator, the larger the fraction’
• Use apparatus to explain why might be smaller than ¼
• Use fractions vocabulary of numerator, denominator, part-whole and whole
Exemplification of problem solving
• Solve equivalence problems using
concrete and pictorial representations
•
• Find a variety of ways to make a whole
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 7(a):
Recognise fractions of shapes, objects and quantities (unit and non unit)
Possible activities to exemplify fluency • Estimate these positions on a
number line
Estimate the position of 7/8 on the number line
Possible activities to exemplify reasoning • The shape is divided into 4 equal parts. Do
you agree?
Explain why.
• ½ of a small pizza may be smaller than ¼ of a big pizza
Possible activities to exemplify problem solving • Share 3 cookies between 4 people.
How much does each person get?
Can you name the parts?
Can you share them a different way? 2 1
[
[[
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 7(b):
Calculate with fractions (add and subtract with the same denominator, within a whole)
Fluency Reasoning Problem solving
Exemplification of fluency
• Add and subtract fractions with the same denominator
Exemplification of reasoning
• Use apparatus to explain addition and
subtraction of fractions
• Make and test conjectures about fractions
Exemplification of problem solving
• Solve word problems using fractions in
real life contexts
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 7(b):
Calculate with fractions (add and subtract with the same denominator, within a whole)
Possible activities to exemplify fluency
• Fill in the numerator to make the answer less than 1
x/8 + x/8 = x/8
Can you complete the number sentence in 3 different ways?
Source: adapted from NCETM
Possible activities to exemplify reasoning
• True or false
+ =
Explain your reasoning
Possible activities to exemplify problem
solving
• There are some cookies on a plate.
Sam and Jo take some and leave 1/8 of
the original number. What fraction could
Sam and Jo have each taken?
Extension
• If Sam ate ½ of the cookies, what
fraction did Jo take?
• If Sam ate 8 cookies ( ½) , how many
were left on the plate
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 8:
Choose, use and compare a variety of units of measure, to an appropriate level of accuracy
Fluency Reasoning Problem solving
Exemplification of fluency
• Convert quickly between e.g mm,
cm and m, ml and l and g and kg
• Accurately use a range of
measuring equipment
• Compare and order a variety of
measures
• Tell the time to the minute
Exemplification of reasoning
• Justify and explain thinking about measures
• Use the vocabulary associated with
measures
• Convince a friend why you need to use
measuring equipment accurately
• Use multiplication facts to read scales
Exemplification of problem solving
• Solve problems in real life context
• Use coins and notes to find different
amounts of money
• Solve practical problems with giving
change
• Decide on the correct equipment
needed to solve a problem
• Calculate time differences
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 8:
Choose, use and compare a variety of units of measure, to an appropriate level of accuracy
Possible activities to exemplify fluency
• Who is tallest – Sarah who is 1.3 m
tall or David who is 143 cm tall?
• How much heavier is a cake
weighing 1.2 kg than a cake
weighing 900g?
Possible activities to exemplify reasoning
• Would you rather have ……
e.g
¼ kg of chocolate, 200 g of chocolate or ½ of
600g bar of chocolate. .Explain your
reasoning.
Possible activities to exemplify problem
solving
• Find the number of 2l bottles needed to
fill 10 cups with 300 ml each of juice.
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 9:
Recognise and use the properties of shapes including position and direction
Fluency Reasoning Problem solving
Exemplification of fluency • Name and describe the properties
of a wide range of 2D and 3D shapes
• Link shapes and pictorial representations
• Recognise angles as a measure of a turn
• Identify right, acute and obtuse angles
Exemplification of reasoning
• Justify and explain thinking in the context of shapes
• Know and use accurately the vocabulary of shape, including symmetry, edges, vertices, faces, shape names, right angel, parallel, perpendicular
• Convince someone that a shape has been reflected accurately
• Conjecture which shapes tessellate and which do not
• What is the same and different between 2D and 3 D shapes
Exemplification of problem solving
• Solve problems in the context of shape
• Systemically sort shapes in a variety of ways
• Solve problems involving position and direction
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 9:
Recognise and use the properties of shapes including position and direction
Possible activities to exemplify fluency
• Make some 2d shapes on a pinboard. Describe them using appropriate vocabulary
Possible activities to exemplify reasoning
• Can you draw a triangle with: right angle?
right angles?
• Can you draw a quadrilateral with:
1 right angle?
2 right angles?
5 right angles?
No right angle?
If some of these are impossible, can you explain why?
Possible activities to exemplify problem solving
• NRICH ‘Polydron’ https://NRICH.maths.org/4
• Can you make a net, then shape of a cuboid to hold a particular object e.g matchbox, small book etc
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Fluency Reasoning Problem solving
Exemplification of fluency
• Interpret and present data using
bar charts, pictograms and tables
• Collect and sort information to
create a range of charts and tables
• Use simple scales
Exemplification of reasoning
• Use the vocabulary associated with statistics
• Interpret data and draw conclusions
• Justify reasons for presenting data in a
particular way
• Justify choice of scale
Exemplification of problem solving
• Collect and present data to solve a
problem
• Present data according to audience/
purpose
Big idea 10:
Collect, organise and interpret data
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Big idea 10:
Collect, organise and interpret data
Possible activities to exemplify fluency
Source: adapted from NCETM
Possible activities to exemplify reasoning
• http://NRICH.maths.org/7522
Possible activities to exemplify problem
solving
• What kind of new playground
equipment should we buy? What would
the children in our school like? What do
we need to find out? How shall we
collect our data? How shall we present
our data to School Council/
Headteacher?
Source: adapted from NCETM
For more information and to make a booking
www.educatorsolutions.org.uk or call 01603 307710
Da
te p
ub
lish
ed
Au
gu
st 2
01
6
For m
ore
info
rmatio
n a
nd to
mak
e a
bo
okin
g
ww
w.e
du
ca
tors
olu
tion
s.o
rg.u
k o
r ca
ll 01
60
3 3
077
10