Post on 05-Oct-2021
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Glasgow Counts Trackers
• These trackers cover all the Experiences and Outcomes within Curriculum for Excellence and provide a progression framework for teaching numeracy and mathematics.
• Early Level is split into trackers 1 and 2.
• First Level is split into trackers 1, 2 and 3
• Second Level is also split into trackers 1, 2 and 3.
• Each tracker is split over 2 pages which can be joined to create an A3 poster.
Estimation & Rounding
Knows they can check estimates by counting within 0-10
Can apply subitising skills to estimate the number of items in a set
Uses the language of estimation, including more than, less than,
fewer than and the same
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No
. wo
rd
seq
ue
nce
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Say short forward and backward number
word sequences within 0-10
Uses ordinal numbers in real life contexts e.g. I am first/second/third in the line’
Recalls the number sequence forwards and backwards within 0-10
Nu
me
rals
Recognise numerals e.g. points to the number
from 0-10
Identify (name) numerals e.g. can
respond to question ‘what is that number?’
from 0-10
Explains zero is represented as 0
Orders numerals forwards and backwards
within 0-10
Identifies number before, after and missing numbers in a sequence within 0-10;
beginning to use the language before, after and in-between
Sub
itis
ing Identifies ‘how many?’ in regular dot patterns
e.g. dot arrangement/on fingers/five frames/10 frames/dice without counting up to 6
Identifies ‘how many?’ in irregular dot patterns e.g. dot arrangement/on fingers/five frames/10 frames/dice
without counting up to 6
Represents amounts in different arrangements e.g.dot arrangement/on fingers/five frames/
10 frames/dice without counting up to 6
Co
un
tin
g
When counting objects understands the order
in which we say the numbers
is always the same (stable order)
Touch counts one item when each
number word is said (1-to-1
correspondence)
When counting objects
understands that the number name of the last object
counted is the name given to the total number of
objects in a set (cardinal principle)
When counting objects understands that the
number of objects is not affected by position (order irrelevance)
Counts objects in a set recognising that the appearance of the objects
has no effect on the overall total
within 0-10 (conservation)
Counts anything e.g. objects at a
distance/in a book/sounds/claps
within 0-10 (abstract principle)
Pla
ce
Val
ue
Explains that zero means there is none of a particular quantity Partitions quantities to 10 into 2 or more parts and
recognises that this does not affect the total e.g. 6 as 3 and 3/2 and 2 and 2
Addition and Subtraction
Sorts & classifies objects using quantity as an
attribute e.g. sets of 1, 2
within 0-10
Compares 2 sets to decide which has the fewest/most
within 0-10
Finds the total when 1,2 or 3 is added to an existing amount e.g. a number line or height chart (augmentation)
Finds the total when 2 sets are added together within 0-10 (aggregation)
Finds out how many are left when 1 or 2
are taken away within 0-10
Compares to find the difference between
sets as a quantity within 0-10
Beginning to count on and back in ones to add and subtract
with objects or number line within 0-10
Multiplication and Division
Shares out a group of items into 2 equal sets within 0-10. Groups objects into matching or natural sets of 2 e.g. shoes within 0-10
Begin to identify halves and doubles using concrete materials within 0-10
Fractions, Decimals and
%
Identifies wholes and halves in a social context and uses appropriate language
e.g. ‘I have eaten half of my banana’
Splits a whole into smaller parts and explains that equal parts are the
same size
Understands that a whole can be shared equally and unequally
Early Level Tracker 1
Money Handles money and recognises a few coins up to the
value of £2 through play and in real life and relevant contexts (using real and plastic money)
Identifies (names) 1p, 2p, 5p and 10p coins and pays the exact value for items to 10p e.g. if the price is 5p; can use a 5p coin to pay for it
Time
Links daily routines and personal events to time sequences and
begins to use appropriate language including before, after, later, earlier
Recognises and where appropriate engages with everyday devices
used to measure or display time e.g. clocks, calendars,
sand timers and visual timetables
Identifies (names) the days of the week in sequence
Recognises the months of the year and describes features of the four seasons in
relevant contexts
Me
asu
rem
ent
Length
Shares relevant experiences in which measurements of lengths, heights , mass and capacities are used,
for example, in baking and other meaningful contexts
Describes and compares common objects’ lengths, heights, mass and capacities using everyday language, including long/longer, short/shorter, tall/taller, heavy/heavier,
light/lighter, more/less/same
Estimates, then measures, the length, height, mass and capacity of common objects using a range of
appropriate non-standard units
Mass
Capacity
Patterns & Relationships
Copies simple patterns involving objects , shapes and numbers
Continues simple patterns involving objects , shapes and numbers
Creates simple patterns involving objects , shapes and numbers
Shape Recognise and describe common 2D shapes and 3D objects
by attribute e.g. straight, round, flat and curved Sort common 2D shapes and 3D objects according
to attribute e.g. shape, colour, size
Angles, Symmetry
and Transformation
Correctly uses some of the language of position e.g. in front, behind,
above, below
Begins to correctly use some of the language of direction e.g. left right,
forwards and backwards to solve simple problems in relevant contexts
Identifies and describes basic symmetrical pictures with one line of symmetry
Creates basic symmetrical pictures with one line of symmetry
Data Handling
and Analysis
Uses knowledge of colour, shape, size and other
properties to match and sort items in a variety of
different ways
Collects and organises objects for a specific
purpose
Asks simple questions to collect data for a specific
purpose
Contributes to a concrete or pictorial display where
one object or drawing represents on data value, using digital technologies
as appropriate
With support interprets simple graphs, charts and signs and demonstrates
how they support planning, choices and
decision making
With support applies counting skills
to ask and answer questions.
Makes relevant choices and decisions based on the data
Early Level Tracker 1
Estimating and rounding Checks estimates by counting
Demonstrates skills of estimation in the context of number including more than, less than and the same
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Say short forward number word
sequences (to at least 30)
Say short backward number word sequences
(to at least 20)
Say alternate numbers
(to at least 30)
Say next number word forward (to at least 30)
Say next number word backward
(from 20)
Say number word after
(within 20)
Say number word before (to at least 20)
Nu
me
rals
Recognise numerals (from 0 to at least 20)
Identify (name) numerals (to at least 20)
Sequence numerals forwards and backwards
(to at least 20)
Identify number before and after (to at least 20)
Identify missing numbers in a sequence (to at least 20)
Sub
itis
ing
Represent a number using fingers (throw)
Count objects in a group - regular & irregular arrangements
(to at least 10)
Identify numbers in a group without counting – Subitise (to at least 10)
Co
un
tin
g Use 1 to 1 correspondence (to at least 20)
Count objects in a row (at least 20)
Count objects in a group/irregular
arrangement (to at least 20)
Count objects using an array
(to at least 20)
Count objects actions & sounds
(without touching)
Use and understand ordinal numbers
Skip counts in 2s (to at least 20)
Skip counts in 5s (to at least 20)
Pla
ce
Val
ue
Partition numbers visually to at least 10 (2 or more sets)
Identify number bonds to 10 Recognise zero as a place holder
Addition And
Subtraction
Find one more and one less than a given number of
objects
Combine 2 or more
quantities to find the
total
Count on when
adding to a group
Count on or back in 1’s
when finding the difference
Recognise and read + ,
- and = symbols
Read an addition /
subtraction number
sentence
Solve an addition /
subtraction number
sentence
Translate a word
problem into a number sentence
Combine two quantities to find the total
Partition numbers into
part, part, whole to 10
Use part-part-whole
relationships to find linked
number sentences
Solve missing number
problems
Multiplication and
Division
Solve division
problems by sharing equally (to
at least 20)
Solve division problems
by grouping (to at least 20)
Identify odd and even
(to at least 20)
Find the total of
equal groups
Find the total of equal groups using repeated
addition
Place objects into arrays
Find matching
groups (to a total of 20)
Double quantities of
objects (to at least
10)
Count patterns
of 2
Double numbers mentally to a
total of at least 10
Solve problems involving
doubles (to at least
double 10)
Fractions, decimals
and %
Recognise half of an object
(as 1 of 2 equal parts)
Recognise quarter of an object
(as 1 of 4 equal parts)
Identify half of a shape (object)
Identify quarter of a shape
(object)
Identify half of a quantity
Identify quarter of a quantity
Find a quarter by halving a half
Place fractions on a number line
Early Level Tracker 2
Me
asu
rem
en
t
Money Identify coins and assign values
Up to £2 Put them in order of value
Up to £2
Use 1p, 2p, 5p and 10p coins to pay the exact value for items to
al least 10p.
Apply addition and subtraction skills
Time Can sequence Months in the
year
Recognise everyday devices used
to measure or display time.
Talk about everyday devices used to measure
or display time.
Engage with everyday devices used to measure or display time
including, sand timers, clocks, calendars, and visual timetables.
Use appropriate language when discussing time including before,
after, o’clock, hour hand and minute hand..
Read analogue and digital o’clock times (12 hour only) and represent
this to a digital display or clock face.
Length Compare and describe the lengths, heights ,mass and capacities
using everyday language, including longer, shorter, taller, heavier, lighter, more and less.
Estimate them measure the length, height, mass and capacity of familiar objects using a range on non-standard units. Mass
Capacity
Patterns and
Relationships
Copies simple patterns involving objects, shapes
and numbers.
Continues simple patterns involving objects, shapes
and numbers.
Creates simple patterns involving objects, shapes
and numbers.
Find missing numbers on a number line within the range
0-20.
Early Level Tracker 2 Sh
ape
, P
osi
tio
n a
nd
Mo
vem
en
t
Shape
Recognise 2D shapes and 3D objects according to
various criteria, eg: straight, round,
flat and curved.
Describe 2D shapes and 3D objects according to various criteria,
eg: straight, round, flat and curved.
Sort 2D shapes and 3D objects according to various criteria,
eg: straight, round, flat and curved.
Angles, Symmetry
and Transformation
Understand and correctly use the language of position and direction, including in front, behind, above, below, left, right, forwards and backwards to solve problems in movement games.
Identify, describe and create symmetrical pictures with one line of symmetry.
Info
rmat
ion
Han
dlin
g
Data Handling and
Analysis
Apply counting skills to ask and answer
different questions and make relevant choices and decisions based on the
data.
Contribute to concrete or pictorial displays where one object or drawing represents one data value, using
digital technologies as appropriate.
Interpret simple graphs, charts and signs
and demonstrate how they support planning, choices and decision making.
Estimation & Rounding
Estimate the number of
objects (same objects in a
row)
Estimate the number of objects
(different objects in a row)
Estimate the number of objects
(same objects in a pile)
Estimate the number of objects
(diff objects in a pile)
Estimate the total and check by counting all
Estimate the difference and
check by counting all
Estimate the total & difference by
counting on / from
Round to the nearest 10 from
(0-100)
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Skip count in 2’s and 4’s to 100
(rote counting) Skip count in 5’s and 10’s to 100
Give more or less than a given number
Count forward and backwards to and from , at least 100
Understand and give examples of the number before and after any given
number to 100
Nu
me
rals
Read and write numerals from 0-20 and then beyond Use knowledge of place value to place numerals on a number line
Qu
anti
tie
s
Identify most and more from objects and pictures
Identify least and fewer from objects and pictures
Compare quantities using language such as most and least
Use language of ‘equal to’ when comparing quantities
Pla
ce
Val
ue
Demonstrate the use of zero as a placeholder to at least 100
Use objects/tens frames to represent different numbers,
Up to 2digit numbers
Recognize tens and units in numbers
Match numerals to pictorial representation or objects
Recognise the place value of numerals in 2 digit numbers
Addition &
Subtraction
Partition single digit numbers
in different ways
Recognise and describe
part- whole relationships
Use number bonds
to create problems to 20
Read and arrange a number sentence
using objects and pictures
Solve a mathematical number
sentence/problem using symbols
Add/subtract using
number bonds
Add/subtract by counting
on /back
Solve missing number
problems
Use appropriate vocabulary to
create addition and subtraction
stories
Multiplication & division
To make equal groups
To add equal groups (repeated addition)
To make equal rows (arrays)
To find doubles Understand x facts
to multiply by 2 and 4 To divide by 2 and 4 To solve problems x and ÷ by 2 and 4
Fractions, decimals and %
To make and identify halves
To make and identify quarters
To share and group equally To understand that quarter is half of a half
First Level Tracker 1
Money Recognise, name and order
coins to £1
Investigate using different combinations of coins and notes to make the same amounts of
money to £1 Knows 100p = £1 Making totals and giving change within a £1
Time
Can sequence days of the week
and knows before and after
Introduce the number of days in each month
Understands and connects months
to each season
Read analogue & digital o’clock times and represent this to a digital display and clock face
Use analogue and digital clocks to tell
time : half past
Me
asu
rem
en
t
Length, Compare 2 objects and describe using
longer and shorter than Estimate, compare and order length
of everyday objects Use non standard units to measure length
Mass Compare 2 objects and describe using
lighter and heavier than Estimate, compare and order mass
of everyday objects Use non standard units to measure mass
Volume Describe using empty, full, half full,
nearly empty, etc Compare the volume of different
containers Understand that different shaped containers
can have the same volume
Area Comparing the size of
different surfaces Covering various surfaces with different
materials to order areas. Measure area of simple 2D shapes
by counting whole squares Create squares and rectangles with different
areas and compare sizes
Patterns and Relationships
Describes and continues patterns for shapes, pictures, symbols and numbers
Creates patterns for shapes, pictures, symbols. and numbers
Expressions and
Equations Understands the terms equal to, not equal to and the appropriate symbols Solves simple equations to solve a problem Δ+5 = 7
2D and 3D Shape Name, identify, classify 2D shapes and 3D objects.
Introducing new polygons, cylinder, cone and pyramid.
Recognise 2D and 3D shapes in different orientations
and sizes, and in the environment
Describe properties of 2D shapes and 3D objects. eg: sides, faces, edges
Angles and Symmetry
Describe directions using appropriate language.
Full ,half, quarter turn, North, south, East and West
Follow and record directions using
appropriate language.
Identify right angles in the environment
Intro grid refs Identify lines of symmetry in 2D shapes by folding
and drawing one line of symmetry.
Transformation Understand the purpose of a grid. Use2 figure grid references to describe
positions on the grid.
Demonstrate a knowledge of horizontal and vertical location.
Plot 2 figure grid references.
Ideas of Chance and Uncertainty
Use and understand vocabulary of probability. Interpret data to make reasonable predictions of probability.
Data Handling and Analysis
Ask and answer questions to extract key information from a variety of data sets.
Know and select the most effective way to gather data for a particular purpose.
Use a variety of methods including digital technology to display gathered data.
Present information appropriately including title , labelling and an
appropriate scale.
Impact on the world
Investigate importance of numbers in learning, life and work. Investigate variety of number systems used throughout history.
Estimation & Rounding
Estimate the total number of objects in a line
or a pile
Estimate answers
to a calculation
(+ and -)
Estimate the place of a number on a
number line (blank and marked)
Know that + is the opposite
of – and vice versa
Undo and check answers
to calculations by carrying out
inverse operations
Solve missing number equations
using inverse operations
Round numbers to the
nearest 10 in context. (within 100)
Round any number
to the nearest 10
Round 3 digit numbers
to the nearest 100
in context
Round any number to the
nearest 10 and 100
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Stru
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Count in steps of 2,4,5 and 10 from any number Count objects by grouping in different multiples Place number appropriately on the number line
Nu
me
rals
Read and write 2 digit and 3 digit numbers in figures and words
Describe and extend number sequences recognise odd and even numbers
to at least 100
Qu
anti
tie
s
Compare quantities using appropriate vocabulary Place numbers on marked and blank number lines Use symbols to express comparison between quantities
<, >, =
Pla
ce
Val
ue
Recognise zero as a placeholder from 100 - 1000
Partition and recombine 2 and 3 digit numbers
in different ways recognise place value of 3 digit numbers Use place value to support problem solving
Addition & Subtraction
Recognize, describe and create part whole
relationships
Use number bonds to 20 to derive related facts
to 100
To add several single digit numbers using
number bonds
To understand the commutative law
(eg: 26+13=13+26)
To add and subtract with tens and units supported by concrete objects and pictorial representations
To add/ subtract 2 digit numbers using
various strategies (bridging 10)
Multiplication &
Division
To understand multiplication and
division as equal groups, sharing and grouping
To understand the process of x and ÷
by 2 and 4
To understand the process of x
and ÷ /by 3 and 6
To understand the process of x and ÷ by 5 and 10
To understand the commutative law
(eg. 2x4 = 4x2)
To investigate links between 2 and 4
and 5 and 10
To understand the links between x and ÷
(inverse)
To solve problems with all of the above
Fractions, decimals
and %
Revise showing and recognize halves and
quarters
To show and identify thirds and
sixths (shapes)
To show and recognize
fifths and tenths
To name fractions and record using
fractional notation
Explain terms numerator
and denominator
To compare
simple fractions
To understand that larger
denominator, smaller part
Begin to understand
equivalence
To count wholes
and parts (mixed numbers
To find part of a quantity
First Level Tracker 2
Money Records amount s in different ways
149p = £1 and 49p
Can pay for goods and give change to within £5
Identity coins and notes to make £20
Identity coins and notes to make the same amounts
Time
Order months of year, relate to seasons and
key annual events
Select and use appropriate timers to time activities
Record dates in a variety of formats.
Use analogue and digital clocks to tell time : half
past, quarter past
Introduce am
and pm notation
Knows there are 24 hours in
a day
Knows there are 60 mins in
an hour
Me
asu
rem
en
t
Length Estimate lengths of
objects (small and large)
Know appropriate units for short / long
objects
Use rulers / metre sticks accurately to measure using cm / m
Compare measures with estimates. Know that there is 100 cm
in a metre
Mass Estimate mass Know appropriate
units for light/heavy objects
Measure mass accurately in kg /g
Compare measures with estimates Know that there is 1000g
in a kg
Capacity Estimate volume Know larger volume
in litres, small volumes in ml
Measure volume accurately in litres/ml
Compare measures with estimates Know that there are 1000ml
in a litre
Area Measure area of squares/rectangles using
square cm grids. Introduce units
cm2 and m2
Understand that shapes with larger areas have
larger perimeters
Create shapes with given area to nearest square cm using tiles or grids.
Can make the link between multiplication arrays to visualise
areas
Patterns and
Relationships
Describes and continues patterns for shapes, pictures, symbols and number.
Creates patterns for shapes, pictures, symbols and number.
Expressions &
Equations
Understands the terms equal to, not equal to, greater than and less than and the appropriate symbols
Solves simple equations to solve a problemΔ+15 =1 7 and Δ x 2 = 8
Understands = as a balance
2D and 3D Shape
Name, identify, classify 2D shapes and 3D objects.
including new polygons, cylinder, cone and pyramid. Including right angled triangles
Recognise 2D shapes within 3D shapes.
Recognise 3D shapes from 2D drawings.
Identify examples of tiling in the environment.
Create simple tiling patterns.
Angles and Symmetry
Find right angles in environment and
2D shapes.
Knows a right angle is
90 degrees .
Compare and describe angles in relation to a right
angle.
Know and use the compass points
N, S, E, W.
Use the terms clockwise and anticlockwise
Describes, and plots 2 figure grid references, introducing horizontal and vertical language
Recognise symmetrical patterns and shapes in
the environment. patterns, pictures
and 2D shapes.
Transformation Understand the purpose of
a grid . Use2 figure grid references to describe
positions on the grid. Demonstrate a knowledge of
horizontal and vertical location. Plot 2 figure grid references.
Ideas of Chance and Uncertainty
Use and understand vocabulary of probability. Interpret data to make reasonable predictions of probability.
Data Handling and Analysis
Ask and answer questions to extract key information
from a variety of data sets.
Know and select the most effective way to
gather data for a particular purpose.
Use a variety of methods including digital technology to
display gathered data.
Present information appropriately including title , labelling and an
appropriate scale.
Impact on the world
Investigate importance of numbers in learning, life and work. Investigate variety of number systems used throughout history.
Estimation & Rounding
Use rounding to estimate
before calculating
Use inverse operations to undo a calculation
Estimate and answer and check using
inverse operations
Round any 3 digit number to the nearest
10 and 100
Use rounding to estimate the solution to a
problem
Round, estimate and check reasonableness
in every calculation
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Count in steps of 2/4/8, 50 and 100
Count objects by grouping in different multiples
Count numbers to 1000 starting at any number
Estimate the position of numbers on a number line.
Nu
me
rals
Read, write and order whole numbers to at least 1000
Position numbers on a number line Describe and extend number sequences
Qu
anti
tie
s
Compare quantities and numbers using symbols (<,>,=)
Compare more than 2 quantities and describe the comparison
using mathematical vocabulary Order numbers using differed strategies
Pla
ce V
alu
e
Recognize hundreds, tens and units in
numbers
Make 3 digit numbers recording in
numbers and words
Partition numbers in different ways
Compare numbers using concrete resources
Understand and describe place value of any number to 1000
Addition & Subtraction
To add and subtract using various strategies
( bridging 10)
To add and subtract any 3 digit number
To identify the operation required
to solve a problem
To solve addition and subtraction
problems
Multiplication &
division
Revise times tables
facts
To x and ÷ 2 digits by 3,6
To x and ÷ 2 digits by 4, 8
To understand the relationship between
x and ÷
To understand the process of x and ÷ by 7,8,9 linking
2,4,8 and 3,6,9.
To use x and ÷ when solving
word problems
To x and divide 2 digit numbers by 10 and 100
Fractions, decimals
and %
To find part of a quantity/set
To add equal fractions
to make a whole
To order fractions
To compare fractions
To find equivalent
fractions
To consolidate finding fractions
of amounts
To understand how to share 1 and record
findings
To solve word problems using all of
the above
First Level Tracker 3
Money
Use combinations of coins and notes to pay and give
change for goods within £10.
Know the role of £ and p signs and the need for two decimal places in
written amounts of money.
Develop mental strategies to carry out simple calculations involving money including totals
and change.
Be aware that goods can be paid for using cards and digital technologies.
Time
Read 12 hour times Quarter to the hour
Using am /pm notation (analogue/digital)
Tell the time in 5 minute intervals
Use & apply knowledge of the Calendar to work out durations & plan events
To develop an understanding of time intervals: how many
seconds in a minute
To develop an understanding of time intervals how many weeks and days
are in a year
Me
asu
rem
en
t
Length
Make reasonable and logical estimates of length
cm/m/mm
Choose the most appropriate instrument for the task
Measure accurately
to the nearest unit
Compare measures
with estimates
Improve skills
Knows that 10mm = 1cm
Convert between cm/m mm/cm
Convert between g/kg
Mass Make reasonable and
logical estimates of mass Choose the most appropriate
instrument for the task
Convert between ml/l Volume
Make reasonable and logical estimates of volume
Choose the most appropriate instrument for the task
Area Measure areas of simple shapes (square, rectangles
and triangles) to the nearest ½ square using grids Create shapes with given area to nearest
½ square using tiles or grids Understand conservation of area.
Patterns & Relationships
Describes and continues patterns for shapes, pictures, symbols. Creates patterns for shapes, pictures, symbols.
Expressions
& Equations
Understands and uses the terms equal to, not equal to, greater than and less than and the appropriate symbols
Solves simple equations to solve a missing number problem Δ+25 =27 and Δ x 6 = 42
2D and 3D Shape
Continue to develop understanding of shapes extending to various prisms and pyramids
Use appropriate language to include base, vertex, angle.
Develop understanding of properties of 2D shapes through tiling and tessellation.
Identify examples of tiling in the environment
Create tiling patterns with 2 different shapes.
Angles and
Symmetry
Recognise symmetrical patterns and shapes in the environment, patterns, pictures and 2D shapes.
Creates symmetrical pictures and designs with more than 1 line of symmetry
Describes, plots and uses accurate two figure grid references, demonstrating knowledge of the
horizontal and vertical location.
Transformation Understand the purpose of a grid . Use2 figure grid references
to describe positions on the grid. Demonstrate a knowledge of
horizontal and vertical location. Plot 2 figure grid references.
Ideas of Chance and Uncertainty
Use and understand vocabulary of probability. Interpret data to make reasonable predictions of probability.
Data Handling and Analysis
Ask and answer questions to extract key information from
a variety of data sets.
Know and select the most effective way to gather data
for a particular purpose.
Use a variety of methods including digital technology to
display gathered data.
Present information appropriately including title , labelling and an
appropriate scale.
Impact on the world
Investigate importance of numbers in learning, life and work. Investigate variety of number systems used throughout history.
Estimation &
Rounding
Estimate the answer to a
problem
Know that +/- and x / ÷ are inverse operations
Estimate and check solution s to problems
using the inverse operation
Solve problems using estimation and check
using the inverse Justify answers
Round any number to the
nearest 10
Round numbers to the nearest 100
in context (within 1000)
Round any 4 digit number to the nearest
10 and 100
Round any 4 digit number to the nearest
10, 100 and 1000
Understand value of tenths
Round numbers with one decimal place to nearest whole number
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un
tin
g Count in steps of
6, 7, 9, 25, 100
Count objects by grouping in different
multiples
Count in multiples
of… starting at
any number
up to 1000
Estimate positions of numbers on
a number line
Read and
write numbers beyond 1000
Count in thousands, hundreds, tens and
ones/units
Order numbers beyond
1000
Identify the
next numbers in a forward/
backward number
sequence
Sequence numbers 0-10 000
forwards and backwards
Compare numbers beyond
1000 using
< and >
Understand that 0
is not the end point
on the number line
Count backwards and forwards through zero to include
negative numbers Using a number line.
Nu
me
rals
Read and write numbers
beyond 1000
Order number beyond 1000
Position numbers beyond 1000 on the
number line
Describe and extend number sequences
Read and write decimal fractions with up to one
decimal place
Order decimal fractions with up to one decimal place
Position decimal fractions on a number line
Describe and extend number sequences involving decimal
fractions with one decimal place
Qu
anti
tie
s
Understand and provide examples of the numbers
before and after a given number
Use concrete resources to represent
different numbers
Use pictorial representations to show different numbers
Match numerals to pictorial representations
or concrete materials
Estimate numbers using different representations
Pla
ce V
alu
e
To make 4 digit numbers
recording in numbers and
words
To represent 4 digit
numbers (concrete)
To find 1, 10, 100 or 1000 more than a given number
(concrete)
To recognise the place value of each
digit in a 4 digit number
To recognise the place value of
numbers with at least 1 decimal place
Order numbers beyond
1000
Compare numbers beyond
1000
To x and ÷ a one/two digit number by
10 and identify the value of the digits in the answer
To x and ÷ a one digit number by 100 and
identify the value of the digits in the answer
Addition & Subtraction
Partition numbers in
different ways
Recognise and describe part whole
relationships
To + and - up to four digit numbers
(no bridging)
To + and - with bridging in the 100s
To + and - with bridging in the
100s, 10s and 1s
To + and - with bridging in the
1000s, 100s, 10s and 1s
To identify common
misconceptions in + and -
To round off numbers to the nearest
10 / 100
Estimate & use inverse to
check answers
+ and - decimals up to 2
decimal places
Solve two step word problems for addition
and subtraction
Multiplication &
Division
Understand the
process of multiplying and dividing
by 2-12
Make the link
between sharing,
arrays and division
x and ÷ by
multiples of
10/100
x and ÷ 2/3 digit numbers by one
digit number
X 2 digit
by 2 digit
number
Use the commutative
law for multiplication 2 × 4 = 4 × 2
Use the distributive
law 3 × (2 + 4) = 3×2 + 3×4
0r 3 x 204 =
3x200+3x4
Use associative law to x 3 numbers 2x3x4 = 6x4=24
or 2x3x4=2x12=24
Divide a 3 digit number
using short division
Solve problems using scaling
Derive x and ÷
facts from three digit numbers
Solve two step
word problems
Recognise factors
of a number
Fractions, Decimals
and %
Show equivalent fractions pictorially
To identify and calculate
equivalent fractions
Write decimal
equivalents to simple fractions
Compare fractions
>,<
Use factors and
multiples to recognise equivalent fractions
Simplify fractions
Calculate simple fraction of a quantity
Recognise and write decimal equivalents
of any number of tenths of hundredths
Recognise and write decimal equivalents to
¼, ½, 1/3
Compare numbers with the
same number of decimal places (up to 2 d.p.)
To link fractions, decimals and
measures (using a
number line)
Second Level Tracker 1
Money Solve money problems
using mental strategies. Solve money problems
using 4 operations Select appropriate strategies to
solve money problems. Buying within a budget
Time Can tell the time
to the minute
Convert between 12 hour and 24 hour time
Can convert half an hour
to 30 minutes
Can convert quarter of
an hour to 15 minutes
Calculate time intervals bridging across several hours
Can use calendars and timetables to plan events
Introduction to the links
between speed, distance, time
Me
asu
rem
en
t
Length
Measure & estimate the length, width & height of objects using
cm./mm
Measure and estimate lengths in metres.
Knows that ½ metre = 50 cm
Convert between cm / m and mm/cm Writing in decimal form to 1 d.p
Mass Know that ½ kg = 500g Know that ¼ kg = 250g Estimate the weight of an
object to 1 ½ and ¼ kg Choose appropriate unit of measure
when estimating weight.
Perimeter Know perimeter is the distance round
the outside. Measure accurately perimeter of regular
shapes using cm.
Measure accurately perimeter of irregular
shapes using cm.
Calculate accurately the perimeter of irregular
shapes using cm.
Draw different shapes with equal perimeters
Area Measure the area of regular
shapes using cm² / m 2 Measure the area of regular shapes
using ½ cm2
Calculate the area of squares and rectangles using the formula A = l x b
Understands link between formula
and known x facts
Draw different shapes with equal areas
Volume Read scales accurately using
litres & millilitres. Measure & estimate using ¼ litre (250ml)
Measure volume of cubes /cuboids using concrete cubes
Know notation cubic cm (cm3)
Patterns and Relationships
Use well known number patterns such as multiples
Explain a rule and extend a sequence Applies knowledge to create a number pattern
Expressions & Equations
To express and solve missing number problems algebraically X – 30 = 40 and 4B = 20
To use simple formula to generate, express and describe linear number sequences
Impact on the world
Research historical number systems and how they have changed over time
2D shape and
3D Objects
Extend the range of 2D shapes.
Extend knowledge of 2D shapes.
Continue to extend range of shape and
properties.
Extend understanding of 3D objects
Use and create nets for 3D shapes.
Extend the range of 3D objects
Extend knowledge of properties
of 3D objects
Angles and
Symmetry
Use 8 compass points and angles to describe,
record and follow directions.
Name, measure and draw angles to + 2 degree of accuracy.
Draw simple triangles given angles and
lengths.
Use knowledge of angles to
calculate missing angles
Apply scale to interpret maps
plans & diagrams.
Complete & create symmetrical shapes / patterns with vertical,
horizontal & diagonal lines of symmetry.
Identifies line symmetry on a wide range of 2D shapes
and completes symmetrical patterns with and without
digital tech.
Transformation Interpret a coordinate system to locate and plot a point on a grid.
Data Handling and Analysis
Interpret information presented to show awareness of significance of the data.
Display data in a variety of more complex ways.
Select appropriate questions for a survey to gather information required.
Know how methods of collecting information may affect the data collected.
Ideas of Chance and Uncertainty
Predict and explain outcomes using appropriate vocabulary. 50:50 equal chance
Conduct experiments involving chance and probability. Heads or tails / red or black
Estimation & Rounding
Estimate the answer to a problem
know that +/- and x / ÷ are
inverse operations
Estimate and check solutions to a problem
using the inverse operation
Solve problems using estimation and check using
the inverse
Justify answers
Round any number to 1000
Round any number
to 10 000
Round any number
to 100 000
Round any number to the nearest 1000,
10 000, 100 000
Round decimals to the nearest
whole number
Round decimals to the nearest
tenth
Aw
are
ne
ss o
f N
um
be
r –
C
ou
nti
ng,
Qu
anti
tie
s &
Nu
mb
er
Stru
ctu
re Co
un
tin
g Read numbers beyond 10 000
Write numbers beyond 10 000
Count in tens of thousands, thousands,
hundreds, tens and units
Order and compare numbers beyond 10 000
Sequence numbers 0-10 000
forwards and backwards
Understand and count in tenths
Understand and count in
hundredths
Convert between tenths and hundredths
Count beyond 0 forwards and
backwards on a number line
Solve problems involving negative numbers
Nu
me
rals
Read and write numbers beyond
10 000
Order and compare numbers beyond 10 000
Describe and extend number
sequences
Read and write decimal fractions up to 2 decimal place
Order decimal fractions up to 2 decimal place
Position decimal fractions on a number line
Describe and extend number sequences involving decimal
fractions with 2 decimal place
Qu
anti
tie
s Understand and provide examples of the numbers before and after a given
number
Use concrete resources to represent
different numbers
Use pictorial representations to show
different numbers
Match numerals to pictorial representations or
concrete materials
Estimate numbers using different representations
Pla
ce V
alu
e To make 5 digit
numbers and beyond recording in numbers and
words
To represent 6 digit numbers
(beyond 100 000) (concrete)
To recognise the place value
of each digit in a 6 digit number
Compare & order numbers to at
least 100 000
To recognise and describe
linear number sequences
To find the rule for a
number sequence
Represent numbers to at least 2 decimal places
using tenths and hundredths
Understand thousandths and
represent the value (concrete)
Addition & Subtraction
+ and - 4 digit numbers
and beyond (regrouping in the 1000s, 100s, 10s and 1s
etc.)
Use rounding to check answers to calculations
Add and subtract decimals up to
2 decimal places
To find the missing value in
addition and subtraction calculations
To solve two step word problems
for + and -
To solve multi step word problems
for + and -
Use a variety of strategies to solve + and - problems
Multiplication &
Division
Identify common factors of
2 numbers
Know prime numbers,
prime factors and
composite numbers
(non-prime)
To solve division problems
with decimals using
place value counters
Multiply numbers up
to 4 digits by a 1 digit
number
Divide numbers up to 4 digits by
a one digit number
(with remainders)
Multiply whole
numbers up to 4 digits
by a 2 digit
number
Recognise and use
squared and cubed
numbers
To understand and use the distributive law to
simplify problems 3 × (2+4)= 3×2 + 3×4
or 3 x 204 = 3x200+3x4
Divide whole
numbers by 10,100 and 1000
To ÷ by powers
of 10
Divide by powers of 1000
Solve multi step
word problems
Fractions, Decimals
and %
Identify equivalent fractions (including tenths
and hundredths)
Compare and order fractions
(whose denominators are multiples of the same
number)
Calculate fractions
of quantities
Read and write decimal numbers
as fractions
Add & subtract decimals
Understand and use the term percentage
%
Convert fractions
to %
Second Level Tracker 2
Money Solve money problems using
4 operations Compare costs from different
retailers to determine affordability Buy items within
a budget Introduce different ways of paying for services
(bank cards, credit cards)
Time
Can tell the time to the minute in both 12 and 24 hour clocks
Converts fractions of an hour to minutes
eg 1 ¾ hour
Use and create timetables set out in both 12 and 24 hour
clock times
Calculate time intervals in both 12 hour and 24 hour
clocks
Introduction to the links between speed, distance,
time
Me
asu
rem
ent
Length
Measure and estimate distance
using km.
Know that 1km = 1000m
Convert between m and km writing in decimal form to 1d.p
Measure / estimate the length, width & height using mm.
Convert between mm/cm/m
Mass Choose appropriate unit of
measure when estimating weight. Measure accurately using
¼ kg, ½ kg & g. Reads a variety of scales accurately
Knows that there are 1kg = 2.2 lbs 14 lbs in a stone
Perimeter Know perimeter is the distance
round the outside of a shape Measure accurately perimeter of
regular shapes using cm. Measure accurately perimeter of
irregular shapes using cm. Calculate accurately the perimeter of
irregular shapes using cm.
Area
Calculate the area of squares and rectangles using the formula
A = l x b Measure larger areas using m² Convert between cm2 and m2
Volume Know that 1ml = cm3 Convert cm3 to ml to l. Calculate volume of cubes and cuboids using V = l x b x h
Patterns and Relationships
Use well known number patterns such as square, cubed and triangular numbers
Explain a rule and extend a sequence
Apply knowledge to generate a number sequence
Expressions & Equations
To express missing number problems algebraically x – 30 = 40 and 4B = 20 To use simple formula to generate, express and describe linear number seq.
Impact on the world
Research historical number systems and how they have changed over time
2D shape & 3D Objects
Extend the range of 2D shapes.
Extend knowledge of 2D shapes.
Continue to extend range of shape and
properties.
Extend understanding of 3D shapes.
Use and create nets for 3D shapes.
Extend the range of 3D shapes.
Extend knowledge of properties of 3D
shapes.
Angles and
Symmetry
Identify, acute, obtuse, straight
and reflex angles in the wider world.
Name 8 compass rose & identify angles between
them using 3 figure bearings.
Name angles and measure and
draw to 2 degree of accuracy.
Measure and draw 3 figure
compass bearings using a protractor.
Draw simple triangles given
angles and lengths.
Apply scale to interpret maps
plans & diagrams..
Identify lines of symmetry of
irregular shapes.
Identify and draw up to 4
lines of symmetry.
Complete & create symmetrical shapes
/ patterns with vertical, horizontal & diagonal lines of
symmetry.
Transformation Interpret a coordinate system to locate and plot a point on a grid.
Data Handling and Analysis
Interpret information presented to show awareness of significance of the data.
Display data in a variety of more complex ways.
Select appropriate questions for a survey to gather information required.
Know how methods of collecting information may affect the data collected.
Ideas of Chance and Uncertainty
Predict and explain outcomes using appropriate vocabulary. 1 in 2, 1 in 6 Conduct experiments involving chance and probability. Roll a 6
Estimation & Rounding
Estimate the answer to a
problem
know that +/- and x / ÷ are
inverse operations
Estimate & check the solution to a problem using the
inverse operation
Justify answers
Change decimal fractions
to decimal numbers
Represent the value of tenths and hundredths
Round numbers to 1 decimal place
(tenths)
Round numbers to 2 decimal places
(hundredths)
Aw
are
ne
ss o
f N
um
be
r –
C
ou
nti
ng,
Qu
anti
tie
s &
Nu
mb
er
Stru
ctu
re
Co
un
tin
g
Count forwards and backwards in
ones within 1 000 000 from
different starting points
Count in multiples of 10
within 1 000 000
Count in different multiples
within 1 000 000
Identify the rule
for number sequences
Compare decimal fractions
Identify numbers that fall between
2 decimal fractions
Count in tenths,
hundredths, thousandths
Sequence decimal fractions
with up to 3 decimal places
Count beyond zero
forwards and backwards on a
numberline
Solve problems involving negative numbers
Nu
me
rals
Read and write numbers to 1 000 000
Order and compare numbers beyond
1 000 000
Describe and extend number sequences
Read and write decimal fractions
with up to 3 decimal place
Order decimal fractions with up to
3 decimal places
Describe and extend number sequences involving
decimal fractions with 3 decimal places
Read/write numbers less
than zero
Qu
anti
tie
s Understand and provide examples of the numbers
before and after a given number
Use concrete resources to represent
different numbers
Use pictorial representations to show different numbers
Match numerals to pictorial representations
or concrete materials
Estimate numbers using different representations
Pla
ce V
alu
e
Recognise and represent tenths, hundredths,
thousandths etc.
Order and compare numbers up to 1 000 000
Partition decimals in different ways
3.6 = 3units & 6 tenths = 36 tenths
Extend knowledge of place value to decimals
up to 3 dec. places
Identify decimal numbers on a number line
Addition &
Subtraction
+/- 10, 100, 1000 to and from whole
numbers
+/- 10, 100, 1000 to and from decimal fractions to at least
2 decimal places
+/- multiples of 10 to and from
whole numbers
+/- multiples of 10 to and from
decimal fractions up to 2 dec. places
Solve any +/- problems
with numbers to 2 dec. places
Solve multi step
word problems
Use estimation to check answers to calculations
Understand the order of
operations using brackets
Multiplication &
division
x and ÷ whole numbers
with at least 3 dec.places
by multiples of 10,100,1000
Multiply numbers
up to 4 digits by
2 digit whole
number
x and ÷ decimal fractions
with at least 2 dec. places
by 10,100,1000
understand the order
of operations
using brackets
To use number
bonds for factors and products & To identify
missing factors
to relate common factors
to equivalent fractions
÷ numbers up to 4 digits
by 1 digit
Interpret remainders
as whole number
remainders, fractions or
rounding
÷ decimal numbers
up to 2 dec places
by 1 digit whole numbers
recognise &
describe square
& cubed
numbers
Understand the order
of operations
Solve x & ÷ word
problems. Can apply
knowledge of inverse
operations
Fractions, Decimals
and %
Compare & order fractions (including fractions
>1)
Use common factors to simplify fractions
Calculate decimal fraction
equivalents (by dividing using a
simple fraction)
X 1 digit numbers with
up to 2 dec. places by whole numbers.
Multiply up to 2 digit decimals
by whole numbers
Interpret remainders as whole number
remainders, fractions or by rounding, as
appropriate for the context.
Second Level Tracker 3
Money
Solve money problems using 4
operations
Interpret sales info. from
different retailers.
Compare costs from different retailers to determine affordability
Demonstrates the benefits and risks of using bank cards and digital technologies
Calculates profit and loss accurately
Time
Use appropriate timers to measure activities
(Speed, distance and time)
knows different units of speed (mph, kmph, m/s)
Can use a timer to measure time including 100ths of a second
Use and create timetables set out in both 12 and 24 hour clock
times
Calculate time intervals bridging parts of hours (12/24 hour)
Me
asu
rem
en
t
Length Convert cm to mm and mm to cm. Convert m to km and km to m.
Mass Measure accurately using ¼ kg, ½ kg & g. Read scales accurately using kg & g. Convert kg to g and g to kg.
Perimeter Know perimeter is the distance round
the outside. Measure accurately perimeter of regular
shapes using mm/cm/m Measure accurately perimeter of irregular
shapes using mm/cm/m. Calculate accurately the perimeter of
irregular shapes using mm/cm/m
Area Calculate the area of right angled triangles using the formula ½ (l x b) Calculate the area of compound shapes using knowledge of squares, rectangles & triangles.
Volume Calculate volume of cuboids using V = l x b x h Calculate volume of a composite shape containing cubes & cuboids. Understand that CAPACITY is maximum volume.
Patterns and Relationships
Use well known number patterns such as square, cued, triangular numbers
Explain a rule and extend a sequence including Pascals triangle and Fibonacci sequence
Applies knowledge to generate number patterns
Expressions & Equations
To express missing number problems algebraically X – 30 = 40 and 4B = 20
To use simple formula to generate, express and describe linear number sequences
Impact on the world
Research historical number systems and how they have changed over time
2D shape & 3D Objects
Extend the range of 2D shapes.
Extend knowledge of 2D shapes.
Continue to extend range of shape and
properties.
Extend understanding of 3D
shapes.
Use and create nets for 3D shapes.
Extend the range of 3D shapes.
Extend knowledge of properties of
3D shapes.
Angles and
Symmetry
Identify, acute,
obtuse, straight and reflex angles in the wider
world.
Name 8 compass rose & identify angles between
them using 3 figure bearings.
Name angles and measure and draw to 2 degree
of accuracy.
Measure and draw 3 figure
compass bearings using a
protractor.
Draw simple triangles given
angles and lengths.
Apply scale to interpret maps
plans & diagrams..
Identify lines of symmetry of
irregular shapes.
Identify and draw up to 4
lines of symmetry.
Complete & create symmetrical shapes
/ patterns with vertical, horizontal & diagonal lines of
symmetry.
Transformation Interpret a coordinate system to locate and plot a point on a grid.
Data Handling and Analysis
Interpret information presented to show awareness of
significance of the data.
Display data in a variety of more complex ways.
Select appropriate questions for a survey to
gather information required.
Know how methods of collecting information may affect the
data collected.
Ideas of Chance and Uncertainty
Predict and explain outcomes using appropriate vocabulary. 2 in 3, percentage chance
Conduct experiments involving chance and probability..
Estimation & Rounding
Estimate the answer to a
problem
know that +/- and x / ÷ are
inverse operations
Estimate & check the solution
to a problem using the inverse operation
Justify answers
Change decimal fractions
to decimal numbers
Round numbers to 1 decimal place
(tenths)
Round numbers to 2 decimal places
(hundredths)
Round numbers to 3 decimal places
(thousandths)
Aw
are
ne
ss o
f N
um
be
r –
C
ou
nti
ng,
Qu
anti
tie
s &
Nu
mb
er
Stru
ctu
re
Co
un
tin
g
Count forwards and backwards in
ones within 1 000 000 from
different starting points
Count in multiples of 10
within 1 000 000
Count in different multiples
within 1 000 000
Identify the rule
for number sequences
Compare decimal fractions
Identify numbers that fall between
2 decimal fractions
Count in tenths,
hundredths, thousandths
Sequence decimal fractions
with up to 3 decimal places
Count beyond zero
forwards and backwards on a
numberline
Solve problems involving negative numbers
Nu
me
rals
Read and write numbers to 1 000 000
Order and compare numbers beyond
1 000 000
Describe and extend number sequences
Read and write decimal fractions
with up to 3 decimal place
Order decimal fractions with up to
3 decimal places
Describe and extend number sequences involving
decimal fractions with 3 decimal places
Read/write numbers less
than zero
Qu
anti
tie
s Understand and provide examples of the numbers
before and after a given number
Use concrete resources to represent
different numbers
Use pictorial representations to show different numbers
Match numerals to pictorial representations
or concrete materials
Estimate numbers using different representations
Pla
ce V
alu
e
Recognise and represent tenths, hundredths,
thousandths etc.
Order and compare numbers up to 1 000 000
Partition decimals in different ways
3.6 = 3units & 6 tenths = 36 hundredths
Extend knowledge of place value to decimals
up to 3 dec. places
Identify decimal numbers on a number line
Addition &
Subtraction
+/- 10, 100, 1000 to and from whole
numbers
+/- 10, 100, 1000 to and from decimal fractions to at least
2 decimal places
+/- multiples of 10 to and from
whole numbers
+/- multiples of 10 to and from
decimal fractions up to 2 dec. places
Solve any +/- problems
with numbers to 2 dec. places
Solve multi step
word problems
Use estimation to check answers to calculations
Understand the order of
operations using brackets
Multiplication &
division
x and ÷ whole numbers
with at least 3 dec.places
by multiples of 10,100,1000
Multiply numbers
up to 4 digits by
2 digit whole
number
x and ÷ decimal fractions
with at least 2 dec. places
by 10,100,1000
understand the order
of operations
using brackets
To use number
bonds for factors and products & To identify
missing factors
to relate common factors
to equivalent fractions
÷ numbers up to 4 digits
by 1 digit
Interpret remainders
as whole number
remainders, fractions or
rounding
÷ decimal numbers
up to 2 dec places
by 1 digit whole numbers
recognise &
describe square
& cubed
numbers
Understand the order
of operations
Solve x & ÷ word
problems. Can apply
knowledge of inverse
operations
Fractions, Decimals
and %
Compare & order fractions (including fractions
>1)
Use common factors to simplify fractions
Calculate decimal fraction
equivalents (by dividing using a
simple fraction)
X 1 digit numbers with
up to 2 dec. places by whole numbers.
Multiply up to 2 digit decimals
by whole numbers
Interpret remainders as whole number
remainders, fractions or by rounding, as
appropriate for the context.
Third Level Tracker
Estimation & Rounding
Estimate the answer to a
problem
know that +/- and x / ÷ are inverse operations
Estimate & check the solution
to a problem using the inverse operation
Justify answers
Fluently convert decimal fractions
to decimal numbers
Round numbers to 1 decimal place
(tenths)
Round numbers to 2 decimal places
(hundredths)
Round numbers to 3 decimal places
(thousandths)
Whole Numbers
Continue to read, write, order and compare
numbers up to and beyond
1 000 000
Count in different
multiples within 1 000 000
Count forwards and backwards in ones within
1 000 000 from different starting points
Continue to partition and regroup numbers to
simplify problems
Solve + / - problems for any number
In a problem solving context
Solve x / ÷ problems up to and including
12 times table.
Integers
continue to read/write
numbers less than zero
count through zero forwards and
backwards on a number line
Subtract from positive
integers, passing through zero.
add positive integers to negative integers including passing
through zero
understand & demonstrate that adding a negative is the same as subtracting a
positive integer
Multiply / divide positive and negative
integers
Multiply / divide 2 negative
integers
Solve word problems involving negative
numbers in a context
Fractions
Decimals
Read, write and order decimal fractions
with up to 3 decimal place
Find the midpoint between 2 decimals
Partition decimals in different ways
3.6 = 3units & 6 tenths = 36 tenths = 360 hundredths = 3.60
Order & identify decimals with up to 3 decimal places
on an number line
Addition &
Subtraction
+/- 10, 100, 1000 to and from whole
numbers
+/- 10, 100, 1000 to and from decimal fractions to at least
2 decimal places
+/- multiples of 10 to and from
whole numbers
+/- multiples of 10 to and from
decimal fractions up to 2 dec. places
Solve any +/- problems
with numbers to 2 dec. places
Solve multi step
word problems
Use estimation to check answers to calculations
Understand the order of
operations using brackets
Multiplication &
Division
x and ÷ whole
numbers with at least 3 dec.places by multiples
of 10,100,1000
Multiply numbers
up to 4 digits by
2 digit whole
number
x and ÷ decimal fractions
with at least 2 dec. places
by 10,100,1000
understand the order
of operations
using brackets
To use number
bonds for factors and products & To identify
missing factors
to relate common factors
to equivalent fractions
÷ numbers up to 4 digits
by 1 digit
Interpret remainders
as whole number
remainders, fractions or
rounding
÷ decimal numbers
up to 2 dec places by
1 digit whole numbers
recognise &
describe square
& cubed
numbers
Understand the order
of operations
Solve x & ÷ word
problems. Can apply
knowledge of inverse
operations
Powers & roots
Compare & order fractions (including fractions
>1)
Use common factors to simplify fractions
Calculate decimal fraction
equivalents (by dividing using a
simple fraction)
X 1 digit numbers with
up to 2 dec. places by whole numbers.
Multiply up to 2 digit decimals
by whole numbers
Interpret remainders as whole number
remainders, fractions or by rounding, as
appropriate for the context.
Third Level Tracker NEW VERSION
Money
Solve money problems using 4
operations
Interpret sales info. from
different retailers.
Compare costs from different retailers to determine affordability
Demonstrates the benefits and risks of using bank cards and digital technologies
Calculates profit and loss accurately
Time
Use appropriate timers to measure activities
(Speed, distance and time)
knows different units of speed (mph, kmph, m/s)
Can use a timer to measure time including 100ths of a second
Use and create timetables set out in both 12 and 24 hour clock
times
Calculate time intervals bridging parts of hours (12/24 hour)
Me
asu
rem
en
t
Length Convert cm to mm and mm to cm. Convert m to km and km to m.
Mass Measure accurately using ¼ kg, ½ kg & g. Read scales accurately using kg & g. Convert kg to g and g to kg.
Perimeter Know perimeter is the distance round
the outside. Measure accurately perimeter of regular
shapes using mm/cm/m Measure accurately perimeter of irregular
shapes using mm/cm/m. Calculate accurately the perimeter of
irregular shapes using mm/cm/m
Area Calculate the area of right angled triangles using the formula ½ (l x b) Calculate the area of compound shapes using knowledge of squares, rectangles & triangles.
Volume Calculate volume of cuboids using V = l x b x h Calculate volume of a composite shape containing cubes & cuboids. Understand that CAPACITY is maximum volume.
Patterns and Relationships
Use well known number patterns such as square, cued, triangular numbers
Explain a rule and extend a sequence including Pascals triangle and Fibonacci sequence
Applies knowledge to generate number patterns
Expressions & Equations
To express missing number problems algebraically X – 30 = 40 and 4B = 20
To use simple formula to generate, express and describe linear number sequences
Impact on the world
Research historical number systems and how they have changed over time
2D shape & 3D Objects
Extend the range of 2D shapes.
Extend knowledge of 2D shapes.
Continue to extend range of shape and
properties.
Extend understanding of 3D
shapes.
Use and create nets for 3D shapes.
Extend the range of 3D shapes.
Extend knowledge of properties of
3D shapes.
Angles and
Symmetry
Identify, acute,
obtuse, straight and reflex angles in the wider
world.
Name 8 compass rose & identify angles between
them using 3 figure bearings.
Name angles and measure and draw to 2 degree
of accuracy.
Measure and draw 3 figure
compass bearings using a
protractor.
Draw simple triangles given
angles and lengths.
Apply scale to interpret maps
plans & diagrams..
Identify lines of symmetry of
irregular shapes.
Identify and draw up to 4
lines of symmetry.
Complete & create symmetrical shapes
/ patterns with vertical, horizontal & diagonal lines of
symmetry.
Transformation Interpret a coordinate system to locate and plot a point on a grid.
Data Handling and Analysis
Interpret information presented to show awareness of
significance of the data.
Display data in a variety of more complex ways.
Select appropriate questions for a survey to
gather information required.
Know how methods of collecting information may affect the
data collected.
Ideas of Chance and Uncertainty
Predict and explain outcomes using appropriate vocabulary. 2 in 3, percentage chance
Conduct experiments involving chance and probability..