Grade 1 
Integers, Decimals, Powers, Indices and Surds

Read, write and order integers up to and including 4 digit numbers

Order, add and substract positive and negative integers within context

Round whole numbers to the nearest 1000

Use the symbols < and >

Be able to use mental methods to find remainders after division

Be able to use mental methods to add and subtract integers

Use written methods to multiply and divide upto threedigit numbers by a singledigit number

Multiply and divide whole numbers by powers of 10

Be aware of using the orders of operation

Understand and use inverse operations

Identify square numbers up to 10^{2 }

By inspection, recognise odd and even numbers

Know the definition of a prime number and be able to list the first 10 prime numbers

Know the definition of multiples and be able to recognise multiples

Identify factors of 2digit numbers

Fractions and Decimals

Use vocabulary associated with fractions such as numerator and denominator

Recognise simple fractions when illustrated on a shape

Write fractions to describe shaded parts of a shape or diagram

Use diagrams to find equivalent fractions

Use diagrams to compare fractions

Convert simple fractions into decimals (such as tengths and hundredths)

Recognise when fractions are equivalent

Be able to recognise descriptions of fractions and write down the corresponding fractions (eg. write down the fraction "three quarters")

Find equivalent fractions through simplification

Find equivalent decimals

Calculate simple fractions of quantities

Be able to use written methods to add and subtract decimals with common denominators

Be able to convert simple metric units into imperial units

Grade 2 
Integers, Decimals, Powers, Indices and Surds

Understand positive and negative numbers as positions on a number line

Be able to order, add and subtract positive and negative integers within context

Round whole numbers to the nearest 10, 100 or 1000

Round decimal numbers to one decimal place or nearest whole number

Multiply and divide 3digit numbers by 2digit integers

Be aware of and use the order of operators including simple brackets

Use inverse operations in the context of integers

Multiply any integer or decimal by powers of 10

Understand use decimal notation and place value

Identify square numbers up to 12^{2}

Identify square roots up to 122

Be able to proficiently use a calculator to find square roots

Be able to calculate and identify highest commfon factors and lowest common multiples in simple scenarios

Fractions and Decimals

Grade 3 
Integers, Decimals, Powers, Indices and Surds

Be able to round to 2 decimal places when required

Round positive numbers to the power of 10 and decimals to the nearest integer

Add and subtract integers of any size using simple written notation

Use and apply the order of operations to more complex situations (including the use of multiple brackets)

Multiply and divide integers and decimals by 0.1 and 0.01

Be able to use positive and negative square roots, cube and cube roots

Use index notation for small positive integer powers

Be able to find prime factors of a number (prime factor decomposition)

Fractions and Decimals

Be able to add and subtract any decimal numbers (including those with differing amounts of decimal places)

Be able to recognise and convert between mixed numbers and improper fractions

Comfortably multiply integers by fractions (including those where they must convert from a mixed number prior)

Be able to use a calculate the enter fractions and use it to carry out simple calculations involving fractions

Use written division methods to convert a fraction to a decimal

Recognise recurring decimals can be illustrated as fractions (not required to be able to convert from recurring decimals to fractions at this point)

Order fractions in ascending and descending order, including those which have different denominators

Order decimals in ascending and descending order, including those which have a differing number of decimal places

Use inequality signs to show comparisons between two fractions, two decimals, and one fraction and one decimal

Convert a fraction to a decimal to make calculations easier

Convert recurring decimals to fractions

Be aware that rounding during intermediate calculations can significantly affect the accuracy of an answer

Know that division is multiplicative inverse

Grade 4 
Integers, Decimals, Powers, Indices and Surds

Fractions and Decimals

Grade 5 
Integers, Decimals, Powers, Indices and Surds

Fractions and Decimals

Grade 6 
Integers, Decimals, Powers, Indices and Surds

Fractions and Decimals

Grade 7 
Integers, Decimals, Powers, Indices and Surds

Fractions and Decimals

Grades 8  9 
Integers, Decimals, Powers, Indices and Surds

Understand the definition of a rational and irrational number

Use rational and irrational numbers in context

Use surds in complex calculations, including

