Download four operations number progression rubric

Year 1
Year 2
Phase 1-2
Adds whole numbers using
materials
Models addition of whole
numbers
Subtracts whole numbers
using materials
Models subtraction of
whole numbers
Counts on in ones, twos,
fives and tens
Uses the written method to
add whole numbers
Shares objects into even
groupings
Subtracts whole numbers
Models multiplication of
whole numbers
Four operations of number
Year 3
Year 4
Phase 2-3
Four operations of number Objectives
Model addition,
subtraction, multiplication
and division of whole
numbers
Model addition,
subtraction, multiplication
and division of whole
numbers
Uses efficient written
methods to add whole
numbers
Uses efficient written
methods to add whole
numbers
Uses efficient written
methods to subtract whole
numbers
Uses efficient written
methods to subtract whole
numbers
Multiplies whole numbers
Uses efficient written
methods to multiply whole
numbers
Models division of whole
numbers
Uses efficient written
methods to divide whole
numbers with no
remainders
Year 5
Year 6
Phase 3-4
Model addition and
subtraction of decimals.
Model multiplication and
division of whole numbers
Uses efficient written
methods to add whole and
decimal numbers
Uses efficient written
methods to subtract whole
and decimal numbers
Uses efficient written
methods to multiply whole
and numbers
Uses efficient written
methods to divide whole
numbers with remainders
Model addition,
subtraction, multiplication
and division of decimals
Uses efficient written
methods to add whole and
decimal numbers
Uses efficient written
methods to subtract whole
and decimal numbers
Uses efficient written
methods to multiply large
whole numbers and
decimals
Uses efficient written
methods to divide large
whole numbers and
decimals.
Display remainders as a
decimal fraction
Phase 1
Addition
 Uses doubles
 Uses materials to add 2 digit to 1 digit
numbers showing recording
 Adds mental combinations of one digit
and two digit combinations
 Recognises 10 more/ 10 less etc.
 Solves simple number problems using
 addition
 Estimates using addition to check for
reasonableness
 Recalls addition facts to 10
Subtraction
 Models subtraction using materials
Four operations of number Indicators
Phase 2
Phase 3
Addition
 Uses materials to add 2 digit to 1 digit
numbers with regrouping showing
recording.
 Describes written strategies for adding 2
digit numbers.
 Explains the process of regrouping
 Recognises 100 more / 100 less etc.
 Solves worded problems using 2 digit
addition
 Uses effective strategies to estimate to
check for reasonableness
 Recalls addition facts to 20
Subtraction
Addition
 Uses mathematical language, materials and
recording to add three digit numbers
 Explains the process of regrouping
 Solves worded problems
 Uses effective strategies to estimate to
check for reasonableness
 Recalls addition facts to 20
Subtraction
 Uses mathematical language, materials and
recording to subtract two digit numbers
from three digit.
 Explains the process of regrouping
 Solves worded problems
Phase 4
Addition
 Uses efficient written strategies to add
large whole numbers (positive and negative)
 Uses efficient written strategies to add
decimal numbers
 Selects and uses an appropriate sequence
of operations to solve word problems
 Uses effective strategies to estimate to
check for reasonableness
Subtraction
 Uses efficient written strategies to subtract
whole numbers (positive and negative)
 Uses efficient written strategies to subtract
decimal numbers
 Recalls subtraction facts to 10
Multiplication
 Recognises and makes groups that are of
the same number
 Records the grouping informally
Division
 Groups and shares collections of objects
equally
 Records the sharing informally
 Uses materials to subtract 2 digit
 Uses materials to subtract 2 digit
numbers with regrouping showing
recording
 Describes written strategies for
subtracting 2 digit numbers
 Explains basic subtraction facts
connecting to addition
 Recalls subtraction facts to 20
Multiplication
 Explains what multiplication is
 Make and records repeated groups of the
same number
 Recognises and uses the multiplication
symbol
 Explains the relationship between
multiplication and addition
 Explains the relationship between table
facts (e.g. can make a connection
between the 5x and the 10x)
 Recalls tables facts (e.g. 2s, 5s and 10s)
 Knows the commutative rule of
multiplication (e.g. that 5 x 2 is the same
as 2 x 5)
Division
 Explains what division is
 Explains the relationship between division
and subtraction
 Explains the inverse relationship between
multiplication and division
 Divides 2 digit numbers with 1 digit
numbers (no remainders)
 Recalls division facts (e.g. 2s, 5s and 10s)
 Estimates using subtraction to check for
reasonableness
 Recalls subtraction facts to 20
Multiplication
 Explains what multiplication is
 Explains the relationship between
multiplication and addition
 Explains the relationship between table
facts (e.g. can make a connection between
the 5x and the 10x)
 Memorizes, practices and recalls timetables
to 10x10
 Multiplies by 10 and 100 (using place
value)
 Uses factors and multiples of numbers
 Multiplies 2,3,and 4 digit numbers by 1
digit
 Multiplies 2 digit by 2 digit numbers
Division
 Explains what division is
 Explains the relationship between division
and subtraction
 Explains the inverse relationship between
multiplication and division
 Divides 3 digit by 1 digit numbers with
remainders
 Divides 4 digit numbers with divisors of 10,
100 and 1000.
 Memorizes, practices and recalls division
facts to 100
 Uses actors and multiples of numbers up to
100
 Selects and uses an appropriate sequence
of operations to solve word problems
 Uses effective strategies to estimate to
check for reasonableness
Multiplication
 Explains written method
 Models (use materials) long multiplication
and multiplication of decimals.
 Memorizes, practices and recalls timetables
to 10x10
 Multiplies 3/4 digit numbers by a 2/3 digit
 Multiplies decimals by a whole number
e.g. 1.5 x 4 = 6.
Division
 Explains what division is
 Explains the relationship between division
and subtraction
 Explains the inverse relationship between
multiplication and division
 Divides large number 4, 5 and 6 digit by 1
and 2 digit numbers (internal zeros in
answer) with decimal remainders
 Divides 4 digit numbers with divisors of
10, 100 and 1000 (e.g. 2390 ÷ 10 OR 2390
÷ 100)
 Memorizes, practices and recalls division
facts to 100 Uses factors and multiples of
numbers up to 100
 Divides decimals by whole numbers e.g.
2.5 ÷ 5 = 0.5