# Maths - Expectations for every year so you can work on these aspects at home.

### Year 1

By the end of Year 1 all children should have the skills and knowledge to complete the following mathematical tasks.

• Count reliably to 100
• Count on and back in 1s, 2s, 5s, and 10s from any given number to 100
• Write all numbers in words to 20
• Say the number that is one more or one less than a number to 100
• Recall all pairs of additions and subtractions number bonds to 20
• Add and subtract 1-digit and 2-digit numbers to 20, including zero
• Know the signs (+); (-) and (=)
• Solve a missing number problem, such as: 5 = 8 –
• Solve a one-step problem involving an addition and subtraction, using concreteobjects, pictorial representations and arrays

### Year 2

By the end of Year 2 all children should have the skills and knowledge to

• Read and write numbers to at least 100 in numerals and words
• Recognise odd and even numbers to 100
• Count in steps of 2, 3 and 5 from 0
• Recognise place value of each digit in 2-digit numbers
• Compare and order numbers from 0 to 100 using the >; <; and = signs
• Name the fractions 1/3 ; ¼ ; ½ and ¾ and find fractional values of shapes; lengths and
• Recall and use multiplication and division facts for the 2, 5 and 10x multiplication tables
• Add and subtract: two 1-digit; 2-digit and a 1 digit; 2-digit and 10s; two 2-digit and
• Solve problems with addition and subtraction
• Understand commutativity in relation to addition, subtraction, multiplication and division

### Year 3

By the end of Year 3 all children should have the skills and knowledge to

• Compare and order numbers to 1000 and read and write numbers to 1000 in numerals and words
• Count from 0 in multiples of 4, 8, 50 and 100
• Recognise the value of each digit in a 3-digit number
• Understand and count in tenths, and find the fractional value of a given set
• Add and subtract fractions with a common denominator
• Derive and recall multiplication facts for 3, 4 and 8x multiplication tables
• Add and subtract mentally combinations of 1-digit and 2-digit numbers
• Add and subtract numbers with up to 3-digits using formal written methods
• Write and calculate mathematical statements for multiplication and division; including 2-digit number with a 1-digit number (from multiplication tables they know, ie, 2, 3, 4,
• Solve number problems using one and two step operations

### Year 4

By the end of Year 4 all children should have the skills and knowledge to

• Recall all multiplication facts to 12 x 12
• Round any number to the nearest 10, 100 or 1000 and decimals with one decimal place
• Count backwards through zero to include negative numbers
• Compare numbers with the same number of decimal places up to 2 decimal places
• Recognise and write decimal equivalents of any number of tenths or hundredths
• Add and subtract with up to 4 decimal places using formal written methods of columnar addition and subtraction
• Divide a 1 or 2-digit number by 10 or 100 identifying the value of the digits in the
• Multiply 2-digit and 3-digit numbers by a 1-digit number using formal written layout
• Solve addition and subtraction two-step problems in context and solve problems involving multiplication and division
• Solve simple measures and money problems involving fractions and decimals to 2 decimal places

### Year 5

By the end of Year 5 all children should have the skills and knowledge to

• Count forwards and backwards in steps of power 10 for any given number up to 1,000,000
• Recognise and use thousandths and relate them to tenths, hundreds and decimal equivalents
• Recognise mixed numbers and improper fractions and convert from one to the other
• Read and write decimal numbers as fractions, for example, 0.47 = 47/100
• Recognise the per cent symbol (%) and understand per cent relates to number of parts per hundred
• Write percentages as a fraction with denominator hundred, and as a decimal fraction
• Compare and add fractions whose denominators are all multiples of the same number
• Multiply and divide numbers mentally drawing upon known facts up to 12 x 12
• Round any number to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000
• Round decimals with 2dp to the nearest whole number and to 1decimal place
• Recognise and use square numbers and cube numbers and the notation for squared (²) and cubed (³)
• Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000
• Multiply number up to 4-digit by a 1 or 2-digit number using formal written methods, including long multiplication for 2-digit numbers
• Divide numbers up to 4-digits by 1-digit numbers
• Solve problems involving multiplication and division where large numbers are used by decomposing them into factors
• Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why; solve problems involving 3 decimal places and problems which require knowledge of percentages and decimal equivalents

### Year 6

By the end of Year 6 all children should have the skills and knowledge to

• Use negative numbers in context, and calculate intervals across zero
• Round any whole number to a required degree of accuracy and solve problems which require answers to be
• Solve problems involving the relative sizes of two quantities where the missing values can be found by using
• Use common factors to simplify fractions; use common multiples to express fractions in the same
• Solve problems involving the calculation of percentages, (for example, of measures) such as 20% of 440
• Multiply 1-digit numbers with up to two decimal places by whole numbers
• Perform mental calculations, including with mixed operations with large numbers
• Divide numbers up to 4-digits by a 2-digit whole number using formal written methods of long division and
• Use knowledge of order of operations to carry out calculations involving all four operations
• Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
• Multiply simple pairs of proper fractions, writing the answer in its simplest form
• Divide proper fractions by whole numbers (⅛ ÷ 2 = 1/16
• Associate a fraction with division and calculate decimal fraction equivalents (for example, 0.375 for ⅜)
• Express missing number problems algebraically
• Find pairs of numbers that satisfy number sentences involving two unknowns

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