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. |
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*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. |
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*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. |
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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. |
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Tables and Multiples |
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*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 |
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*Use bonds and subtraction facts to 20. |
*Recall and use +/- facts to 20. *Derive and use related facts to 100. |
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*Recall prime numbers up to 19. *Recognise and use square numbers and cube numbers. |
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Place Value and Rounding |
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*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/÷ |
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*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 |
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*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 |
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*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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