Example of rubric shared by John Marwick:
Year 4 Rubric: Four Operations

Uses effective written methods to add and subtract whole numbers 
Uses effective mental methods to add and subtract whole numbers 
Uses effective written methods to multiply and divide whole numbers 
Uses effective mental methods to multiply and divide whole numbers 
Developing (Phase 2) 
Addition: to use materials to add two digit number with regrouping/carrying showing their recording.
describes written strategies for adding two digit numbers.
to solve word problems using two digit addition.
to use effective strategies to estimate.
Subtraction: to use materials to subtract two digit number with regrouping/borrowing showing their recording.
describes written strategies for subtracting two digit numbers.
to solve word problems using two digit subtraction.
to use effective strategies to estimate. 
recalls basic number facts to twenty quickly and accurately.
most answers are correct to twodigit by onedigit addition and subtraction.
uses counting on and counting back as strategies for addition and subtraction.
applies knowledge of the ‘make ten’ strategy to solve basic problems.
explain the strategy used. 
Multiplication: demonstrates repeated addition
recognizes and uses the symbol and the vocabulary.
Can explain the relationship between addition and multiplication.
explains the relationships between the table facts.
recalls table facts for 2, 5 and 10s.
knows the commutative rules of multiplication.
Division:
explains the relationship between division and subtraction.
explains the inverse relationship between multiplication and division.
can recognize the symbol and vocabulary.
divides twodigit numbers by onedigit numbers with no remainders.

recalls multiplication facts for 2, 5 and 10 times tables.
recalls division facts for 2, 5 and 10 times tables.
Strategies
Solve five times tables by doubling and halving
Repeated addition.


Uses effective written methods to add and subtract whole numbers 
Uses effective mental methods to add and subtract whole numbers 
Uses effective written methods to multiply and divide whole numbers 
Uses effective mental methods to multiply and divide whole numbers 
Meets Expectations (Phase 3) 
Addition:  to use materials to add three digit number with regrouping/carrying showing their recording.
describe written strategies for adding threedigit numbers.
to solve word problems.
to use effective strategies to estimate.
Subtraction: to use materials to subtract three digit number with regrouping/borrowing showing their recording.
describes written strategies for subtracting threedigit numbers.
to solve word problems.
to use effective strategies to estimate.

recalls basics facts to twenty quickly and accurately.
applies basic fact knowledge to numbers to thousands.
uses and knows special combinations of numbers. Eg. 15 + 15 =30, 25 +75=100, 10035=65.
uses arrange of strategies to add and subtract 2 digit by 2 digit numbers
Chooses from a range of strategies Eg  Tidy numbers  Place value partitioning
explain their strategies

Multiplication:  Can explain the relationship between addition and multiplication.
explains the relationships between the table facts.
Memorizes, practices and recalls times tables to 10 x 10
Multiples by 10 and 100 (place value)
Use factors and multiples of numbers.
Multiply 2, 3, and 4 digit numbers by 1 digit.
Division: explains the relationship between division and subtraction.
explains the inverse relationship between multiplication and division.
Divides 4 digit numbers with divisors of 10,100,1000. 
Memorizes, practices, and recalls multiplication facts to 100.
Strategies Deriving from known facts Eg 6x7 is 6x6 + 7
 Memorizes, practices, and recalls division facts to 100.
Multiplies 2 digit by 1 digit numbers (most answers correct) Strategies
Place Value Partitioning Eg 5x18 is 5 x10 +5x8
Doubling and Halving Eg 5x18 is 10x9
 Divides 4 digit numbers with divisors of 10,100,1000.
explain strategies used. 

Uses effective written methods to add and subtract whole numbers 
Uses effective mental methods to add and subtract whole numbers 
Uses effective written methods to multiply and divide whole numbers 
Uses effective mental methods to multiply and divide whole numbers 
Exceeds Expectations (Phase 3+) 
Addition:  uses efficient written strategies to add large whole numbers
describe written strategies for adding money.
to solve word problems involving money.
to use effective strategies to estimate using money.
Subtraction:  uses efficient written strategies to subtract large whole numbers
describes written strategies for subtracting money.
to solve word problems involving money.

applies basic fact knowledge to numbers to thousands.
uses and knows special combinations of numbers. Eg. 15 + 15 =30, 25 +75=100, 10035=65.
uses arrange of strategies to add and subtract large numbers
Chooses from a range of strategies Eg  Tidy numbers  Place value partitioning
explain and adapt known strategies.

Multiplication:  Can explain the relationship between addition and multiplication.
explains the relationships between the table facts.
Memorizes, practices and recalls times tables to 10 x 10
Multiples by 10 and 100 (place value)
Use factors and multiples of numbers.
Multiply 2 digit by 2 digit numbers
explain the use of 0 as a place holder when multiplying 2digits X 2digit.
Division: explains the relationship between division and subtraction.
explains the inverse relationship between multiplication and division.
Divides 4 digit numbers with divisors of 10,100,1000.
divides threedigit by onedigit numbers with remainders.

Memorizes, practices, and recalls multiplication facts to 100.  Memorizes, practices, and recalls division facts to 100. Multiplies 2 digit by 1 digit numbers accurately
Strategies Place Value Partitioning Eg 5x18 is 5 x10 +5x8
Doubling and Halving Eg 5x18 is 10x9
Deriving from Known Facts Eg 5x18 is 5x20 – (5x2) 5x8=40 then 5x16=80
 Divides 4 digit numbers with divisors of 10,100,1000.
Divide twodigit by one digit with remainders.
Strategies Halving Eg 68÷2 is 60÷2 + 8÷2
explain strategies used.
