Write an algebraic expression to represent 5 less than a number “n”.
Bellfield Primary School Numeracy Medium Term Planning ......or less than a number. 4.I can count on...
Transcript of Bellfield Primary School Numeracy Medium Term Planning ......or less than a number. 4.I can count on...
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Year One
Spring Term
Big Maths
Counting Learn its It’s nothing new Calculation
Progress Drive Steps Addition Progress
Drive
Steps Addition
Saying
Numbers
4.I can count to 100
2+4
2+5
2+6
2+7
2+9
3+4
3+5
3+6
Counting
in
differen
t
contexts
Pim
1. I can count
amounts using
different objects.
Counting in groups
of 10 and 5 e.g. 5
bears, 5 apples
6.I can read a number sentence
7.I can arrange a number sentence.
8.I can solve a number sentence.
9. I can solve addition on a number line
Reading
numbers
5.I can read multiples
of 100.
Doubling 1.I can double 1 digit numbers.
(Without and with
crossing
boundaries)
2.I can double 2
digit multiples of
multiples of 10.
Subtraction
6.I can read a subtraction number sentence.
7.I can arrange a subtraction number sentence.
8.I can solve a subtraction number sentence
9. I can solve subtraction on a number line. 6-4=2
Compare
Order
Round
Estimate
2.I can understand
numbers to 20
Multiplication
4. I can find the total amount blocks.
Counting On 2.I can count on 2 more or less than a number.
3.I can count on 3 more
Number
bonds
1.I know the
missing piece to 10.
3 + ? = 10 5 + ? =
Division
4. I can half an even number of objects.
5. I can share 6, 9, 12 or 15 objects between 3 Multiplication
Bellfield Primary School Numeracy Medium Term Planning
Year 1 Spring Term
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or less than a number.
4.I can count on 4 more
or less than a number.
5.I can count on 5 more
or less than a number.
Counting in 10s
Counting in 5s
people. 15÷3
6. I can share 6, 9, 12 or 15 objects into 3. 15÷3
Counting
Multiples
2. I can count in 5s
Number/Measures 3 weeks
Non –Statuary Guidance Pupils practise counting (1, 2, 3…), ordering (for example, first, second, third…), and to indicate a quantity (for example, 3 apples, 2 centimetres), including solving simple
concrete problems, until they are fluent.
Pupils begin to recognise place value in numbers beyond 20 by reading, writing, counting and comparing numbers up to 100, supported by objects and pictorial
representations.
They practise counting as reciting numbers and counting as enumerating objects, and counting in twos, fives and tens from different multiples to develop their recognition
of patterns in the number system (for example, odd and even numbers), including varied and frequent practice through increasingly complex questions.
They recognise and create repeating patterns with objects and with shapes.
Review learning New learning Contextualised supporting material
Count to twenty, forwards and
backwards, beginning with 0 or 1,
from any given number.
Count, read and write numbers
from 1 to 20 in numerals and
words.
Identify and represent numbers
using objects and pictorial
Count to 40 forwards and backwards,
beginning with 0 or 1, or from any number.
Count, read and write numbers from 1-40 in
numerals and words. (1)
Identify and represent numbers using
objects and pictorial representations. (2)
Given a number, identify 1 more or 1 less.
Length and height along
with a wide variety of
everyday contexts
including money.
NRICH
1
Writing Digits * P
Shut the Box * G
Biscuit Decorations * P
Grouping Goodies *** P
Same Length Trains * P
2
Making Sticks ** P I
Robot Monsters * I
Dotty Six * G
http://nrich.maths.org/public/viewer.php?time=1228319356&obj_id=161http://nrich.maths.org/6074http://nrich.maths.org/public/viewer.php?obj_id=154http://nrich.maths.org/public/viewer.php?obj_id=232http://nrich.maths.org/4332http://nrich.maths.org/public/viewer.php?obj_id=231http://nrich.maths.org/2404http://nrich.maths.org/7337
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representations including the
number line, and use the language
of: equal to, more than, less than
(fewer), most, least.
Count in multiples of twos and fives
Compare, describe and solve practical
problems for lengths and heights [for
example, long/short, longer/ shorter,
tall/short, double/half]. (3)
Measure and begin to record lengths and
heights. (4)
All Change * G I
3
Wallpaper ** P
Sizing Them Up * G
The Animals’ Sports Day * I
Different Sizes * P I
4
How Tall? * I
Can You Do it Too? ** G
NCETM
Number - https://www.ncetm.org.uk/resources/42455
measure - https://www.ncetm.org.uk/resources/42711
Hamilton Trust Weeks
Number – 1,6 Measure - 4,7,8
The Maths Shed -
http://www.mathematicshed.com/index.html
Objective Fluency Reasoning Problem Solving
Cou
nt t
o 40 f
orward
s and
back
ward
s,
beginning
with 0
or
1,
or f
rom a
ny n
umber.
Complete the missing numbers:
In pairs, take turns to say 3 consecutive
numbers starting from any point. Record
who says 40. e.g. start from 28
28, 29, 30, 31, 32, 33,
34,35, 36, 37, 38, 39
40
How many bricks are there altogether?
Kate says, “I have 3 tens and 8 ones. My
number must be 308.” Explain the mistake Kate
has made.
True or false? I am counting forwards to 40
from 25. I will say 30. Convince me.
Spot and explain the mistake. 26, 27, 28, 29,
40
My friend and I created the same number using base 10. My
number is below. How much did we have altogether?
Simon had 3 numbers in his bag. He gave three clues about them.
Work out what each number could be: - One number has seven
less than 35. - One number has no ones. - One number more ones
than it has tens.
Put cards 0-40 face down. When you turn one over count how
many jumps it takes to get to 40. Count how many jumps it takes
to get to 0. Which is it closer to? Why?
http://nrich.maths.org/7514http://nrich.maths.org/public/viewer.php?obj_id=4964http://nrich.maths.org/public/viewer.php?obj_id=4962http://nrich.maths.org/7789http://nrich.maths.org/8117http://nrich.maths.org/7536http://nrich.maths.org/8327https://www.ncetm.org.uk/resources/42455https://www.ncetm.org.uk/resources/42711http://www.mathematicshed.com/index.html
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Cou
nt, re
ad a
nd w
rite
num
bers
fro
m
1-40 in
numera
ls a
nd w
ords.
Using base 10, show me 37.
What is my number?
Using counters, fill the ten frames to make
28.
How many would you have if it was full?
How many more do you need to make it 30?
True or false? I have 2 tens and 7 ones. If I
take one ten away, I will have 17. Explain why.
Odd one out! Explain why you think a number is
the odd one out. How many different reasons
can you find? 10, 15, 25, 36
Each circle represents 10. Each triangle
represents one. Harry says the number below is
24. Is he correct? Explain why.
Create a word search for a friend including the words eighteen,
forty and twenty four.
Create a number story using the number 40.
Write or look at the numbers 1-40. Are there any patterns in
how they are pronounced? Are there any numbers that are
different? Does this make it easier or harder to remember
them?
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Ident
ify a
nd r
epr
ese
nt n
umbers
using
obje
cts
and
picto
rial re
pre
sent
ation
s.
Using Base 10, show me: a) 38 b) a number
smaller than 25 c) a number with 1 ten
and 6 ones in it
How many ways can you represent 17 using
drawings?
Treasure hunt activity! Can you find all the
things on your sheet?
If blue counters are worth 5. Can you make 35
using them?
Can you create a story, including drawings, for
the number sentence below? 17 + 9 =
Jamie had some teddy bears. He said if I had
another equal set of teddy bears I would have
20. Is he right? Explain why
Look at the picture below. List all the mathematical vocabulary,
numbers and calculations you can create from this.
Stars are worth 5. Circles are worth 1. Triangles are worth 2.
Arrows are worth 10. How many ways can you represent 20? Will
there be more ways for 40? How do you know?
Look at the part-whole model. Make all the partwhole models you
can from these facts you have been given
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Given
a n
umber,
ident
ify 1
mor
e o
r
1 less
.
Anna thinks 1 more than 14 is 24. Can you
explain her mistake?
True or false? 1 more than 10 is the same as 1
less than 30.
Calvin is finding one more and one less of a
number. Here are some he has found:
21,22,23
34,35,36
17,18,19
Calvin says, “No matter what number I pick the
tens will stay the same. It is only the ones that
change.” Is he right? Explain why
Sarah has £1 more than Katie. Brian has £1 less than Katie.
Sarah has £22. How much money do Katie and Brian have?
A bag is full of digit cards from 1-40. Michelle pulls out a card
and says
“The difference between the digits is 1.” What card could she
have pulled out?
Is this the only option?
In pairs, take it in turns to build a tower. Your partner needs to
make 2 towers. The first will be 1 more than the original; the
second will be 1 less.
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Com
pare
, desc
ribe a
nd s
olve
pra
ctical pr
oblems
for:
leng
ths
and
heights
for
example,
long
/shor
t, lon
ger/
shor
ter,
tall/s
hor
t, d
ouble/h
alf
Rick ate half a Mars bar and said, “My
chocolate bar is longer now I have eaten some
of it.” Do you agree? Explain why.
Pick two objects. Before you measure them, can
you guess which is longer? How do you know?
Which piece of string is longer? Explain why
you think that?
Look at the picture below. How many ways can you compare the
different objects? Make a list.
Pick up your book. Find 5 items in the room that are shorter than
it and 5 items that are longer. Record them in sentences.
Helen has a mystery object. She says, “It is shorter than my
work table. It is taller than my exercise book.” What could
Helen’s object be?
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Measu
re a
nd b
egin
to r
eco
rd leng
ths
and
heights
.
Find an object:
a) Bigger than 10cm
b) Shorter than 7cm
c) Double your pencil
Estimate the length of your
exercise book then measure it.
Were you close?
Use a ruler to measure how long
these lines are.
Sal wants to measure the length of his house.
He suggests using his feet to do this. Do you
think this is the best way? Explain why.
I measure a pencil at 9cm. My friend measures
another at 7cm. Without looking at a ruler,
which is bigger? How do you know?
True or false? Everything is measured in cm.
Prove it.
Here is a ruler. Here is a book bigger in length than the ruler.
Find the length of the book.
Gather 6 objects from around the classroom. Estimate them
first then measure them. Work out the difference between your
estimate and the actual measurement.
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Addit
iona
l re
ason
ing
prom
pts
Spot the mistake:
5,6,8,9
What is wrong with this sequence of numbers?
True or False?
I start at 2 and count in twos. I will say 9
What comes next?
10+1 = 11
11+1= 12
12+1 = 13
Do, then explain
Look at the objects. (in a collection). Are there more of one type than another?
How can you find out?
Top tips
How do you know that this (object) is heavier / longer / taller than this one?
Explain how you know
Application
(Can be practical)
Which two pieces of string are the same length as this book?
Possibilities
Ella has two silver coins.
How much money might she have?
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Measures – Time 2 Weeks
Non –Statuary Guidance
Pupils use the language of time, including telling the time throughout the day, first using o’clock and then half past.
New learning supporting material
Tell the time to the hour and half past the hour and draw the hands on a clock face to show these
times.
Recognise and use language relating to dates, including days of the week, weeks, months and years. (2)
Compare, describe and solve practical problems for time [for example, quicker, slower, earlier, later]
and measure and begin to record time (hours, minutes, seconds)
Sequence events in chronological order using language [for example, before and after, next, first,
today, yesterday, tomorrow, morning, afternoon and evening. (1)
NRICH
1.
The Games’ Medals ** I
Times of Day * P I 2.
Snap * G
NCETM
Measure/Time – 4,8,11
Hamilton Trust Weeks
Time - https://www.ncetm.org.uk/resources/42711
The Maths Shed -
http://www.mathematicshed.com/index.html
http://nrich.maths.org/7763http://nrich.maths.org/public/viewer.php?obj_id=6609http://nrich.maths.org/6082http://www.mathematicshed.com/index.html
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Objective Fluency Reasoning Problem Solving
Tell t
he t
ime t
o th
e h
our
and
half p
ast
the h
our
and
dra
w t
he h
and
s on
a c
lock
face
to
show
these
tim
es.
Point to 11o’clock on the class clock.
Match the words to the correct clock:
What time is the clock showing?
Kim says, “The big hand is pointing to
the 6 and the small hand is pointing to
the 12 so it is 6 o’clock.” Do you agree?
Can you explain to your partner how to
show half past 8 on your clock?
Using the blank clocks, can you draw
three times and write something that
you would do at this time
In pairs, children start at 6 o’clock. In turns, they move
the time on either half hour or 1 hour. Whoever lands on
12 o’clock is the winner.
Create a short play with friends on activities you would
do at half past 12, 7 o’clock and 9 o’clock.
Ben was in bed asleep. Can you show me two different
times on your clock to show when this could be
happening?
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Reco
gnise a
nd u
se lang
uage
relating
to
date
s, inc
luding
days
of t
he
week,
weeks,
mon
ths
and
years
.
Fill in the missing blanks:
On ______, I visited the seaside all day.
On ______, we did P.E. at school.
Can you write down the month and year you were
born?
Here are the days of the week mixed up. Can you
put them in the correct order?
Thursday
Tuesday
Saturday
Monday
Friday
Sunday
Wednesday
Match the picture to the month you
think it is showing. Explain why you have
made that choice
Hannah is describing a month. She says,
“I don’t like this month because it’s
always cold and it’s darker outside for
longer. Sometimes it snows.”
What month do you think this is?
Convince me!
Look at the calendar below
Kirsty wants to go to the cinema one
weekend. List the days she could
possibly go. Explain why.
Below is a list of activities Jonathan did.
Can you explain to him which he should spend a day, week and year
on and why?
Robbie is describing different things he did on different days.
Can you write a day next to each activity and explain why you
chose that day.
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Com
pare
, desc
ribe a
nd s
olve
pra
ctical
prob
lems
for
time [fo
r example,
quicker,
slow
er,
earlier,
late
r] a
nd m
easu
re a
nd
begin t
o re
cord
tim
e (hour
s, m
inut
es,
seco
nds)
Using a stop watch. Can you see who can do 10
stars jumps the quickest? Take it in turns to
record each other.
James took 35 seconds to read a page in a book.
A class spent 4 minutes looking at a page in a
book. Who was the slowest?
Peter is eating his lunch at half past 12. Jane is
eating her lunch half an hour later. Tick the clock
which is showing when Jane eats her lunch.
Holly arrived at school at 8 o’clock.
Megan arrived 9 minutes past 8. Holly
says, “I arrived earlier.” Do you agree?
Explain why.
Sarah explained to the class that she
woke up for school at 6 o’clock. Her
friend said, “I’m confused because I
have my tea at that time.” Why is
Sarah’s friend confused?
Explain to a friend why the big hand
moves round the clock faster than the
small hand.
On Saturday, I played at the park for 15 minutes.
On Sunday, I played for longer. Can you write an amount of time
I could have played for?
Explain how you know it is correct.
Mick, Seb and Annie all walk to a football match.
Mick takes 8 minutes to walk there.
Seb is 3 minutes slower than Mick.
Annie is 5 minutes faster than Seb.
Who arrived at the football match first? How do you know?
Sequ
enc
e e
vent
s in c
hro
nologica
l or
der
using
lang
uage [fo
r example,
befo
re a
nd
aft
er,
next,
first
, to
day,
yest
erd
ay,
tomor
row,
mor
ning
, aft
ern
oon
and
eve
ning
.
Put the following statements in the correct order.
Next week I am going to the seaside
Yesterday I walked my dog
Tomorrow I will have pizza
Today I am going shopping
Fill in the missing blanks for instructions on how
to do work. Use next, first and after.
_____ I open my book
_____ I write the date
_____ I do my work
Look at the clocks below. Can you put
them in order and explain why you have
chosen that order?
True or false? We go to bed before we
brush our teeth? Explain why.
Using pictures of different activities e.g. waking up, eating
dinner, working at school. Can you order them in a sensible way
and explain why you have done this using prompt words e.g. after…
Can you write a diary entry for your day at school yesterday?
Include at least 3 prompt words e.g. first, next
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Additiona
l re
aso
ning
prom
pts
Explain thinking
Ask pupils to reason and make statements about to the order of daily routines in school e.g. daily timetable
e.g. we go to PE after we go to lunch. Is this true or false?
What do we do before break time? etc.
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Addition and Subtraction 1-2 weeks
Non –Statuary Guidance Pupils memorise and reason with number bonds to 10 and 20 in several forms (for example, 9 + 7 = 16; 16 – 7 = 9; 7 = 16 – 9).
They should realise the effect of adding or subtracting zero. This establishes addition and subtraction as related operations.
Pupils combine and increase numbers, counting forwards and backwards.
They discuss and solve problems in familiar practical contexts, including using quantities. Problems should include the terms: put together, add, altogether, total, take away,
distance between, difference between, more than and less than, so that pupils develop the concept of addition and subtraction and are enabled to use these operations
flexibly.
New Learning Contextualised supporting material
Represent and use number bonds and related subtraction
facts within 20.(1)
Add and subtract one digit and two digit numbers to 20,
including zero. (2)
Read, write and interpret mathematical statements
involving addition (+), subtraction (-) and equals (=) signs.
(3)
Solve one step problems that involve addition and
subtraction, using concrete objects and pictorial
representations, and missing number problems such as 7=
?–9 (4)
To compare, describe and solve practical
problems for lengths and mass.
To measure and record length and mass
(using non-standard and standard units).
Calculating with amounts in a variety of
contexts and in the environment.
Use denominations of coins to calculate
NRICH
1.
Domino Sorting * I
One Big Triangle * G
Ladybirds in the Garden ** P
Number Lines * P
Pairs of Numbers * I
Weighted Numbers * G P
Butterfly Flowers * P
2.
Two Dice * I
Find the Difference ** G
Sort Them Out (1) * G
3.
2,4,6,8 *** P
How Do You See it? * P
What Could It Be? * I
4
The Tall Tower *** P
NCETM
Addition and subtraction –
https://www.ncetm.org.uk/resources/42522
Hamilton Trust Weeks
Addition and subtraction -1,2,3,7,9,10,11
The Maths Shed - http://www.mathematicshed.com/index.html
http://nrich.maths.org/public/viewer.php?obj_id=4940http://nrich.maths.org/public/viewer.php?obj_id=192http://nrich.maths.org/public/viewer.php?obj_id=1816http://nrich.maths.org/public/viewer.php?obj_id=5652http://nrich.maths.org/7233http://nrich.maths.org/public/viewer.php?obj_id=4726http://nrich.maths.org/public/viewer.php?obj_id=229http://nrich.maths.org/150http://nrich.maths.org/public/viewer.php?obj_id=6227http://nrich.maths.org/6885http://nrich.maths.org/public/viewer.php?time=1188566002&obj_id=175http://nrich.maths.org/8296http://nrich.maths.org/10479http://nrich.maths.org/2354https://www.ncetm.org.uk/resources/42522http://www.mathematicshed.com/index.html
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Objective Fluency Reasoning Problem Solving
Add a
nd s
ubtr
act
one
digit a
nd t
wo
digit n
umbers
to
20,
includ
ing
zero
.
Clare is working out
19 – 12 = She begins building both numbers with
base 10. Explain why she doesn’t need to do this.
Martin is subtracting single digits from 20. He
says, “The lowest answer I can get is 11.” Do you
agree? Explain why.
Explain why 20 – 10 = 10
Look at the digit cards below.
How many calculations and answers can you make? How
do you know you have found them all?
Roll three dice and add the numbers to get an answer.
Use a ten frame to help if needed. What are the
highest and lowest possible answers? How do you know?
How many part-whole models can you make where the
whole number is 20? Can you have 3 parts
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Read, write
and
int
erp
ret
math
ematica
l st
ate
ment
s invo
lving
addition
(+), s
ubtr
act
ion
(-) and
equ
als
(=) sign
s.
What word could be used in the
calculation below?
33_________ 12 = 2
There were 15 people in the cinema
and 23 people joined them. Can you
write a calculation to show this?
Use the cards below to create a
mathematical statement.
A year one class have been using the equals sign.
Their teacher presents them with the following
calculation: 17 + 3 = 30 – 10
They are confused why the teacher has put 30
after the equals sign and not 20.
Can you explain this to them?
The following numbers are given to 2 children.
14, 6, 20
Harjas says “I will use an addition sign for this
calculation.”
Kaemon says “This will need a subtraction sign.”
Who is right? Explain why.
Look at the picture below.
How many calculations can you create from it?
Using the numbers 1-40, how many calculations can you
create? Have you used a strategy?
Two numbers added together make 8. The difference
between them is 2. What are the two numbers?
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Solve
one
ste
p pro
blems
that
invo
lve a
ddition
and
subtr
act
ion,
using
con
crete
obje
cts
and
picto
rial
repr
ese
ntation
s and
missing
num
ber
prob
lems.
A farmer had 35 sheep. He sold 8
of them to his farmer friend. How
many did he have left?
Each animal got one bag of food in
the morning and one at night. How
many bags of food are used in a
day?
A man counted 38 red and blue cars
in an hour. 9 of them were red. How
many blue cars did he count?
There are 7 flowers in a vase and Kelsey is
holding 8 in her hand.
She wants to know the total number of flowers
but doesn’t know whether to add or subtract.
Can you explain which she needs to do?
I have 4 more sweets than Olivia has. How many
books must I give Olivia so that we have the
same number of sweets? Explain how you know.
Phil is using ten frames to solve 9 + 3. He moves one
over to make 10 + 2.
He says, “This is the best way to do this sum.”
Do you agree? What other ways can you make 12?
Justify which is the best way.
Keeley says she has at least 10 more sweets than
Stacey does. What are all the possible amounts of
sweets Keeley and Stacey could have from the pile of
sweets below?
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Additiona
l re
aso
ning
pro
mpt
s
Continue the pattern
10 + 8 = 18
11 + 7 = 18
Can you make up a similar pattern for the number 17?
How would this pattern look if it included subtraction?
Missing numbers
9 + = 10
10 - = 9
What number goes in the missing box?
Working backwards
Through practical games on number tracks and lines ask questions such
as “where have you landed?” and “what numbers would you need to
throw to land on other given numbers?”
What do you notice?
11 – 1 = 10
11 – 10 = 1
Can you make up some other number sentences like this involving 3
different numbers?
Making an estimate
Pick (from a selection of number sentences) the ones where the answer
is 8 or 9.
Is it true that?
Is it true that 3+4 = 4 + 3?
Fact families
Which four number sentences link these numbers? 12, 15, 3
What else do you know?
If you know this:
12 – 9 = 3
what other facts do you know?
Missing symbols
Write the missing symbols ( + - =) in these number sentences:
17 3 20
18 20 2
Convince me
In my head I have two odd numbers with a difference of 2. What could
they be?
Convince me
Missing numbers
Fill in the missing numbers (using a range of practical resources to
support)
12 + = 19
20 - = 3
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Multiplication and Division 2 weeks
Non- Statutory Guidance
Through grouping and sharing small quantities, pupils begin to understand: multiplication and division; doubling numbers and quantities; and finding
simple fractions of objects, numbers and quantities. They make connections between arrays, number patterns, and counting in twos, fives and tens
New learning Contextualised supporting material
Count in multiples of twos, fives and tens.
Solve one step problems involving multiplication and division, by calculating the
answer using concrete objects, pictorial representations and arrays with the
support of the teacher. (1)
To be able to divide by grouping
To be able to divide by sharing
Money
Measures
Everyday contexts
Link to theme/text
NRICH
1
Lots of Biscuits! * P
Share Bears * G
Doubling Fives * I
NCETM
Multiplication and division -
https://www.ncetm.org.uk/resources/42572
Hamilton Trust Weeks
Autumn – 7
Summer – 1
The Maths Shed - http://www.mathematicshed.com/index.html
Objective Fluency Reasoning Problem Solving
Cou
nt in
multiples
of t
wos,
fives
and
tens
.
What are the first 5 multiples of 10?
Work out 6 x 5
Find the missing number:
2 x __ = 18
__ x 5 = 35
90 = 10 x __
Amrit is counting in twos. She says the number
11. Explain the mistake she has made.
Balraj says it’s easy to know if a number is a
multiple of 5. Can you explain why?
Danielle says, “I know 50 is in the ten times
table so I know it is also in the five times table.”
Is she correct? Explain why.
Are there any numbers in the 2 times table that are
also in the 5 and 10 times table?
Have you found them all? Have you used a strategy to
find them all?
If you know the following information
2 x 4 = 8
5 x 6 = 30
7 x 10 = 70
What other facts do you know? You can use addition,
subtraction and multiplication.
There are 8 children sat on a table. They each have to
complete 2 calculations. How many calculations are
completed altogether?
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Solve
one
ste
p pr
oblems
invo
lving
multiplication
and
division,
by c
alculating
the
ans
wer
using c
oncr
ete
obje
cts,
pict
orial re
prese
ntations
and
arr
ays
with t
he s
uppo
rt o
f th
e
teach
er.
Use counters:
a) To double 3
b) To halve 8
Harry has 5 friends. Each friend gives
him 3 sweets. How many sweets does he
have altogether?
Kayleigh has 30 flowers to share between
3 vases equally. How many flowers can be
put in each vase?
Saskia says, ‘You can double any number but you
can only halve some numbers.’ Can you prove this
using counters or explain it to me?
Here is an array.
Mandy says, “I can find four facts from this.” Do
you agree? Convince me!
True or false? 2 + 2 + 2 + 2 + 2 = 2 x 5
Explain why.
6 goats have twins. How many goats are born?
How many multiplication and division facts can you make
from using 12 cubes?
15 sweets are shared equally between 3 children. How
many do they get each?
Write down what different objects you could use to
solve this. Write an explanation to your partner to help
them solve it. Write your own question.
Additiona
l re
aso
ning
pro
mpt
s
Making links
If one teddy has two apples, how many apples will three teddies have?
Here are 10 lego people If 2 people fit into the train carriage, how many carriages do we need
Practical
If we put two pencils in each pencil pot how many pencils will we need?
Spot the mistake
Use a puppet to count but make some deliberate mistakes.
e.g. 2 4 5 6
10 9 8 6
See if the pupils can spot the deliberate mistake and correct the puppet
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Fractions 2-3 weeks
Non Statutory guidance
Pupils are taught half and quarter as ‘fractions of’ discrete and continuous quantities by solving problems using shapes, objects and quantities. For
example, they could recognise and find half a length, quantity, set of objects or shape. Pupils connect halves and quarters to the equal sharing and
grouping of sets of objects and to measures, as well as recognising and combining halves and quarters as parts of a whole.
New learning Contextualised supporting material
To understand that a fraction is parts of a whole e.g my body is the whole.my arm is
part of the whole.
Recognise, find and name a half as one of two equal parts of an object, shape or
quantity. (1)
Recognise, find and name a quarter as one of four equal parts of an object, shape or
quantity
Money, shape, measure
and everyday contexts.
NRICH
1
Halving ** I
Happy Halving *** P
Fair Feast * P
NCETM - https://www.ncetm.org.uk/resources/42627
Hamilton Trust Weeks
Autumn-6
Summer -1,9
The Maths Shed -
http://www.mathematicshed.com/index.html
Objective Fluency Reasoning Problem Solving
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Reco
gnise, find
and
name a
half
as
one o
f tw
o equ
al pa
rts
of a
n
obje
ct, sh
ape
or
quant
ity.
Shade a half of each object.
Find ½ of 8
How many halves of the apples below have
been eaten?
Arvind has a shape that is split into 4 equal parts.
He shades in 2 parts and says “I have shaded half
of my shape.” Do you agree? Explain why.
True or false? I use the 2 times table to find a
half of an amount. Convince me!
Matthew is finding halves. He says, “It is hard to
find half of an odd number.” Do you agree? Explain
why.
Can you split each of these shapes into two equal halves?
Explain why for each shape.
Here is a tower made from cubes.
Which tower is showing double this tower? Explain why using
the word ‘half’.
- A tower of 7 cubes.
- A tower of 8 cubes.
- A tower of 6 cubes.
Reco
gnise, find
and
name a
quart
er
as
one o
f fo
ur e
qual
part
s of
an
obje
ct,
shape
or
quant
ity.
Shade a quarter of each shape.
Find ¼ of 12.
How many quarters are in 2 whole apples?
Sophie has split a square into 2 equal
parts. She says, “I can also find one
quarter of this square.” Do you agree?
Explain why.
True or false? If I can find half of an
amount, this helps me to find a quarter
of an amount.
Sometimes, always, never. 4 quarters are
always made up of 4 equal parts.
Get a circle template, rectangle template and square template.
Each template represents 1 whole. Can you these into
quarters? Are they equal?
Use a bag of skittles to start with different whole numbers.
How many different quarter amounts can you find? Record
them in a table.
Additiona
l
reaso
ning
pro
mpt
s What do you notice?
Choose a number of counters. Place them onto 2 plates so that there is the same number on each half.
When can you do this and when can’t you?
What do you notice?
True or false?
Sharing 8 apples between 4 children means each child has 1 apple.
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HCAT Maths Assessment Indicators of Depth of Learning Stage 1
Maths Strand Developing Secure Mastered Number and
Calculation
Recall numbers whilst
counting to an across 100
forwards as a whole class
and with prompts such as a
number line / number
square
Recognise the numbers to
100
Find one more or one less
Recall multiples of 2, 5 and
10
Recall number bonds to 20
Follow a model to add and
subtract 1 and 2 digit
numbers to 20 with the
use of practical equipment
Recall numbers whilst counting to
and across 100 forwards and
backwards
Compare numbers within 100
using language of comparison
smaller larger
Estimate a number of objects
within 100
Identify if a number is one more
or one less and explain the
difference
Sort multiples of 2, 5 and 10 into
given categories
Add and subtract numbers to 20
explaining the method used.
Solve one step problems using
concrete objects and pictorial
representations (+, - and x)
Solve simple problems involving
grouping and sharing using
pictorial representations and
arrays.
Prove that one number is larger / smaller than another number
Rapidly recall numbers whilst counting to and beyond 100
Rapidly recall one more or one less than a given number and prove that a
number is 1 more or less.
Compare and sort multiples of 2, 5 and 10 explaining patterns and making
connections.
Reason about numbers within the programme of study
Demonstrate fluency in adding and subtracting numbers to 20
Reason about the mental method used to add and subtract numbers to 20
Solve one step problems demonstrating fluency and reasoning across a
range of contexts
Make connections between addition and subtraction
Fractions Find a half practically of an object or shape
Find a quarter practically
of an object or shape
Find and name a half as one of 2
equal parts or a shape, object or
quantity
Find and name quarter as one of 4
equal parts of a shape, object or
quantity
Consistently find a half or a quarter of a shape, object or quantity.
Make connections between finding a halve and grouping and sharing by 2
Make connections between finding a quarter and grouping and sharing by
4
-
Explain how you find a half or a
quarter of an object or shape
Measures Name the value of different denominations of
coins and notes
Use the language of
chronological order
Name the days of the
week, weeks, months and
years
Tell the time to the hour
and half past the hour
Draw the hands on a clock
following a model
Record and describe
measures in different
contexts (lengths, heights,
mass, weight, capacity,
volume and time)
Recognise and know of the value
of different denominations of
coins and apply this in practical
contexts
Sequence events in chronological
order using language
Recognise and use the language
relating to dates
Compare different measures
Solve practical problems involving
measures in different contexts
(lengths, heights, mass, weight,
capacity, volume and time)
Apply knowledge of the value of different denominations of coins and
notes in problem solving in practical contexts
Consistently tell the time to the hour and half past the hour and use this
in solving practical problems involving time
Make reasoned choices on what unit of measure to measure with (e.g
measure in m or cm and measure in g or kg)
Order and arrange different measures
Test hypothesis about measures (e.g object A will weigh more than
object B and how would we test that)
Construct and design using knowledge of measures (this could be on paper
or in practical contexts i.e building a den with measurements, building a
tower with measures)
Demonstrate fluency and reasoning when solving practical problems
involving measures in a range of contexts.
Geometry Name common 2D objects Name common 3D objects
Name and recognise common 2D
objects
Name and recognise common 3D
objects
Contrast different 2D shapes according to their properties
Persuade / Prove that a shape is a particular shape according to
properties.
Construct and design using knowledge of 2D and 3D shapes
Demonstrate fluency and reasoning in problem solving using 2D and 3D
shapes.