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# Progression in Maths

Progression in Mathematical Skills

(Non-Negotiables & Minimum End of Year Expectations)

Years R-6

 Progression in Mathematical Skills Reception Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Counting and Ordering *Count reliably to 20. *Count to and across 100, forwards and backwards from any numbers. *Count backwards through zero to include negative numbers. *Count forwards and backwards with positive and negative numbers through zero. *Count forwards / backwards in steps of powers of 10 for any given number up to 1,000,000. *Use negative numbers in context and calculate intervals across zero. *Order numbers from 1 to 20. *Compare and order numbers up to 100 and use >, < and =. *Compare and order numbers up to 1000. *Compare and order numbers beyond 1000. *Compare and order numbers with up to 2dps. *Read Roman Numerals to 100. *Compare and order numbers up to 1,000,000. *Compare and order numbers with 3dps. *Read Roman Numerals to 1000. *Compare and order numbers up to 10,000,000. Numbers and More/Less *Say 1 more / 1 less to 20. *Read and write numbers to 20 in words and numerals. *Read and write numbers to 100 in numerals. *Say 1 more / 1 less to 100. *Read and write all numbers to 100 in digits and words. *Say 10 more / 10 less than any number to 100. *Read and write all numbers to 1000 in digits and words. *Find 10 or 100 more / less than any given number. *Find 1000 more / less than any given number. Tables and Multiples *Count in multiples of 1, 2, 5 and 10. *Count in steps of 2, 3 and 5 from any given number up to 100 and in 10s from any number (forwards / backwards). *Recall and use multiplication / division facts for 2s, 5s and 10s. *Count from 0 in multiples of 4, 8, 50 and 100. *Recall and use multiplication / division facts for 3s, 4s and 8s. *Count in multiples of 6, 7, 9, 25 and 1000. *Recall and use multiplication / division facts for all tables up to 12s. *Identify all multiples and factors, including finding all factor pairs. *Identify common factors, common multiples and prime numbers. Bonds and Facts *Use bonds and subtraction facts to 20. *Recall and use +/- facts to 20. *Derive and use related facts to 100. *Recall prime numbers up to 19. *Recognise and use square numbers and cube numbers. Place Value and Rounding *Recognise the PV of any 2 digit number. *Recognise the PV of any 3 digit number. *Recognise the PV of any 4 digit number. *Round any number to the nearest 10, 100 or 1000. *Round decimals with 1dp to nearest whole number. *Recognise the PV of any number up to 1,000,000. *Round any number up to 1,000,000 to the nearest 10, 100, 1000, 10,000 or 100,000. *Round decimals with 2dps to nearest whole number and to 1dp. *Round any whole number to a required degree of accuracy. *Identify the value of each digit to 3dps. Calculations +/- *Add and subtract two single-digit numbers. *Count on/back to find the answer. Add and subtract: *1-digit and 2-digit numbers to 20, including zero. Add and subtract: *2-digit numbers and ones. *2-digit numbers and tens. *Two 2-digit numbers. *Three 1-digit numbers. Add and subtract: *3-digit numbers and ones. *3-digit numbers and tens. *3-digit numbers and hundreds. *Numbers with up to 3 digits, using written columnar method.   *Estimate and use the inverse to check. Add and subtract: *Numbers with up to 4 digits using written columnar method. *Numbers with up to 1dp.   *Estimate and use the inverse to check. Add and subtract: *Numbers with more than 4 digits using formal written method. *Numbers with up to 2dps.   *Use rounding to check answers. *Use knowledge of order of operations (BIDMAS) to carry out calculations involving 4 operations.   *Use estimation to check answers. Calculations x/÷ *Solve one-step multiplication and division using objects, pictorial representations and arrays, *Calculate and write multiplication and division calculations using multiplication tables. *Write and recognise and use the inverse. Multiply: *2-digit by 1-digit. Multiply: *2-digit by 1-digit. *3-digit by 1-digit. Multiply: *4-digit by 1-digit.   Divide: *Up to 4-digits by 1-digit.   Multiply and Divide: *Whole numbers and decimals by 10, 100 and 1000. Multiply and Divide: *4-digit by 2-digit. Fractions and Percentages *Recognise half and quarter of object, shape or quantity. *Recognise, find, name and write: 1/3, ¼, 2/4, ¾. *Recognise equivalent of simple fractions. *Count up/down in tenths. *Compare and order fractions with same denominator. *Add and subtract fractions with same denominator (within one whole). *Count up/down in hundredths. *Recognise and write equivalent fractions. *Add and subtract fractions with same denominator. *Recognise and use thousandths. *Recognise mixed numbers and improper fractions and convert from one to the other. *Multiply proper fractions and mixed numbers by whole numbers. *Identify and write equivalent fractions. *Add and subtract fractions with different denominators and mixed numbers. *Multiply simple pairs of proper fractions, writing the answer in its simplest form. *Divide proper fractions by whole numbers. *Calculate % of whole numbers. Time *Sequence events in chronological order. *Use language of day, week, month and year. *Tell the time to hour and half past. *Tell the time to 5 minutes, including quarter past and quarter to. *Tell the time using 12 and 24 hour clocks; using Roman Numerals. *Tell the time to the nearest minute. *Know the number of days in each month and the number of seconds in a minute. *Read, write and convert time between analogue and digital 12 and 24 hour clocks. *Solve time problems using timetables and converting between different units of time.
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