Glasgow Counts Trackers - LT Scotland

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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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

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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

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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

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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


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

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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

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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

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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

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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


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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

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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

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Han

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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.


Estimate the number of

objects (same objects in a

row)

Estimate the number of objects

(different objects in a row)


(same objects in a pile)


(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

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Read and write numerals from 0-20 and then beyond Use knowledge of place value to place numerals on a number line

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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

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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

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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.


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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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

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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

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Compare quantities using appropriate vocabulary Place numbers on marked and blank number lines Use symbols to express comparison between quantities

<, >, =

Pla

ce

Val

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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


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

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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.




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.


appropriate scale.

Impact on the world



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

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Read, write and order whole numbers to at least 1000

Position numbers on a number line Describe and extend number sequences

Qu

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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


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


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

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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.




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.


appropriate scale.

Impact on the world


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)


10 and 100


10, 100 and 1000

Understand value of tenths

Round numbers with one decimal place to nearest whole number

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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

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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


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)


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.


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.


Predict and explain outcomes using appropriate vocabulary. 50:50 equal chance

Conduct experiments involving chance and probability. Heads or tails / red or black


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

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Qu

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Stru

ctu

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un

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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


different numbers

Use pictorial representations to show

different numbers

Match numerals to pictorial representations or

concrete materials


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)


+ 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 %


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


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


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


2D shape & 3D Objects




properties.

Extend understanding 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.


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.



Interpret information presented to show awareness of significance of the data.


Select appropriate questions for a survey to gather information required.

Know how methods of collecting information may affect the data collected.


Predict and explain outcomes using appropriate vocabulary. 1 in 2, 1 in 6 Conduct experiments involving chance and probability. Roll a 6



problem


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

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um

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C

ou

nti

ng,

Qu

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Nu

mb

er

Stru

ctu

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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


Nu

me

rals

Read and write numbers to 1 000 000

Order and compare numbers beyond

1 000 000


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



different numbers





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


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.


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.



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.


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


To express missing number problems algebraically X – 30 = 40 and 4B = 20


Impact on the world






properties.

Extend understanding 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 angles and measure and draw to 2 degree

of accuracy.


compass bearings using a

protractor.


angles and lengths.


plans & diagrams..


irregular shapes.


lines of symmetry.



symmetry.



Interpret information presented to show awareness of

significance of the data.


Select appropriate questions for a survey to

gather information required.

Know how methods of collecting information may affect the

data collected.


Predict and explain outcomes using appropriate vocabulary. 2 in 3, percentage chance

Conduct experiments involving chance and probability..



problem


inverse operations

Estimate & check the solution

to a problem using the inverse operation

Justify answers

Change decimal fractions

to decimal numbers


(tenths)


(hundredths)


(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


Nu

me

rals

Read and write numbers to 1 000 000

Order and compare numbers beyond

1 000 000


Read and write decimal fractions


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



different numbers





Pla

ce V

alu

e

Recognise and represent tenths, hundredths,

thousandths etc.

Order and compare numbers up to 1 000 000


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


numbers


2 decimal places


whole numbers





Solve multi step

word problems




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



by 10,100,1000


of operations

using brackets

To use number


missing factors




by 1 digit


as whole number


rounding

÷ decimal numbers

up to 2 dec places

by 1 digit whole numbers

recognise &

describe square

& cubed

numbers


of operations

Solve x & ÷ word

problems. Can apply


operations

Fractions, Decimals

and %


>1)




simple fraction)




by whole numbers




Third Level Tracker



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


(tenths)


(hundredths)


(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


Find the midpoint between 2 decimals


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


numbers


2 decimal places


whole numbers





Solve multi step

word problems




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



by 10,100,1000


of operations

using brackets

To use number


missing factors




by 1 digit


as whole number


rounding

÷ decimal numbers

up to 2 dec places by

1 digit whole numbers

recognise &

describe square

& cubed

numbers


of operations

Solve x & ÷ word

problems. Can apply


operations

Powers & roots


>1)




simple fraction)




by whole numbers




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.



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.


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


To express missing number problems algebraically X – 30 = 40 and 4B = 20


Impact on the world






properties.

Extend understanding 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 angles and measure and draw to 2 degree

of accuracy.


compass bearings using a

protractor.


angles and lengths.


plans & diagrams..


irregular shapes.


lines of symmetry.



symmetry.



Interpret information presented to show awareness of

significance of the data.


Select appropriate questions for a survey to

gather information required.

Know how methods of collecting information may affect the

data collected.


Predict and explain outcomes using appropriate vocabulary. 2 in 3, percentage chance

Conduct experiments involving chance and probability..

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