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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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