curriculum AREs.fw

MATHS

Year 1 

Count to and across 100, forwards and backwards 

Count, read and write numbers to 100 

Count in 2’s, 5’s and 10’s 

Find one more or less than a given number 

Know and use number bonds and related subtraction facts to 20 

Recognise, find, name half as one of 2 equal parts of an object, shape of quantity  

Apply their knowledge across number and calculation to real life problems and other mathematical concepts.  

Year 2 

Demonstrate security of all year 1 maths end of year expectations.  

Count in steps of 2, 3 and 5 from 0 forward and backward 

Count in 10s from any number forward and backward 

Compare and order numbers from 0 to 100 

Use < > and = signs correctly 

Use concrete objects and pictorial representation to solve problems using + and – 

Apply mental and written methods to solve+ and - problems 

Fluently recall + and – facts to 20. 

Recall and use addition and subtraction facts to 20 and 100. 

Recall and use multiplication and division facts for the 2, 5 and 10 tables. 

Recognise odd and even numbers in times tables 

Use a range of methods to solve multiplication and division problems in context. 

Recognise, find, name, write fractions 1/3, 1/4, 2/3, 3/4 of a length, shape, set of objects or quantity 

Apply their knowledge across place value, number and calculation to real life problems and other mathematical concepts.  

Year 3 

Demonstrate security of all year 1 and 2 maths end of year expectations.  

Count from 0 in multiples of 4, 8, 50 and 100. 

Work out if a given number is greater or less than 10 or 100. 

Recognise the place value for each digit in a three-digit number (HTO). 

Mentally + and – three-digit number and 1s, three-digit number and 10s, three-digit number and 100s. 

Recall and use multiplication and division facts for 3, 4 and 8 tables. 

Write and calculate statements for multiplication and division using known tables including for two-digit numbers x on-digit numbers, using mental and progressing to formal written methods. 

Count up and down in tenths. 

Recognise tenths arise from dividing objects into 10 equal parts and in dividing one-digit numbers or quantities by 10. 

Recognise, find, write fractions of a discrete set of objects; Unit fractions and non-unit fractions with small denominators. 

Recognise and show equivalent fractions with small denominators using diagrams. 

Apply their knowledge across number and calculation to real life problems and other mathematical concepts.   

Year 4 

Demonstrate security of all year 1, and 3 maths end of year expectations. 

Count in multiples of 6, 7, 9, 25 and 1000. 

Count backwards through 0 to include negative numbers. 

Order and compare numbers beyond 1000. 

Round any number to the nearest 10, 100 or 1000. 

Solve addition and subtraction two-step problems in context. 

Decide which operations and methods to use and why. 

Recall multiplication and division facts for tables up to 12 x 12. 

Recognise and show families of common equivalent fractions using diagrams. 

Count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 and dividing tenths by 10. 

Round decimals with one decimal place to the nearest whole number. 

Solve simple measure and money problems involving fractions and decimals to decimal places. 

Apply their knowledge across number and calculation to real life problems and other mathematical concepts.  

Year 5 

Demonstrate security of all year 1, 2, 3 and 4 maths end of year expectations. 

Read, write order and compare numbers to at least 1,000, 000 and determine the value of each digit. 

Interpret negative numbers in context, count forward and backwards with positive and negative whole numbers including through 0. 

+ and – whole numbers with more than 4 digits, including using formal written methods (columnar + and -) 

Numbers mentally with increasing large numbers (e.g. 12,462 – 2,3000 = 10,162) 

Identify multiples and factors including finding all factor pairs of a number and common factors of two numbers. 

Solve problems involving multiplication and division: 

Usea knowledge of factors and multiples, squares and cubes. 

Scale by simple fractions and problems involving simple rates. 

Compare and order fractions whose denominators are all multiples of the same number. 

Read and write decimal numbers as fractions. 

Read, write, order and compare numbers with up to 3 decimal places. 

Solve problems which require knowing percentage and decimal equivalents of ½, ¼, 1/5, 2/5, 4/5 and fractions with a denominator of a multiple of 10 or 25. 

Apply their knowledge across number and calculation to real life problems and other mathematical concepts.  

Year 6 

Demonstrate security of all year 1, 2, 3, 4 and 5 maths end of year expectations. 

Round any whole number to a required degree of accuracy. 

Uses negative numbers in context and calculates intervals across 0. 

Multiplies multi-digits numbers up to 4 digits by a 2-digit whole number using the formal written method of long multiplication. 

Divides numbers up to 4 digits by a 2-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context. 

Solves + and – multi-step problems in context, deciding which operations and methods to use and why. 

Uses estimation to check answers to calculations and determines an appropriate degree of accuracy (in the context of a problem). 

x/divide 

Use written division methods in cases where the answer has up to 2 decimal places. 

Solves problems which require answers to be rounded to specific degrees of accuracy. 

Recall and uses equivalences between simple fractions, decimals and percentages, including in different contexts. 

Solve problems: 

Calculation of percentages e.g. of measures and calculations such as 15% of 360, and the use of percentages for comparison. 

Unequal sharing and grouping using knowledge of fractions and multiples. 

Apply their knowledge across number and calculation to real life problems and other mathematical concepts.