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Year 6 Numeracy

 

This does not constitute a complete list of topics to be covered - but covers the main points only.

 Mental Mathematics
 Mathematics
Autumn Term Autumn Term

The children will be taught to read and write any whole number.

Order a set of positive and negative whole numbers.

Order fractions.

Order decimals with the same number of decimal places

Know simple fractions as percentages/decimals.

Round whole numbers to the nearest 10, 100 or 1,000.

Round decimals to the nearest whole number or nearest tenth.

Know some fractions as percentages/decimals, find simple percentages.

Add/subtract a pair of 2 digit numbers, including crossing 100.

Find pairs with sum of 100, multiples of 50 sum 1000, decimals sum 0.1, 1, 10.

Count on/back in steps of 25, 0.2, 0.25, 0.5...

Recall multiplication facts to 10 x 10 and derive all division facts. Recall squares to 12 x 12.

Give pairs of factors for whole numbers to 100. Use tests of divisibility.

Double decimals eg. 3.8 x 2, 0.76 x 2.

Multiply and divide whole numbers up to 10,000 by 10 or by 100.

Convert metres to centimetres and £ to pence, m to cm, km to m, kg to g and litres to ml.

 

 

 

 

 

 

 

 

 

 

The children will be taught place value, ordering, estimating and rounding up. Consolidate all previous work

Multiply and divide decimals by 10 or 100 and integers to 1000.

Develop calculator skills and use a calculator effectively.

Understanding x and ÷. Consolidate all previous work

Understand the effect of and relationships between +, -, x and ÷.

Mental calculation strategies (x and ÷).

Pencil and paper procedures (x and ÷).

Extend written methods to 4 digits x 1 digit, short multiplication involving decimals.

Money and 'real life' problems, convert £ to p, using all 4 operations.

Making decisions, checking results, including using a calculator.

Choose appropriate operation/calculation methods.

Use read and write standard metric units of length, convert larger to smaller units of length and vice versa know mile and km equivalents.

Shape and space. Consolidate all previous work

Classify quadrilaterals, read and plot co-ordinates in all four quadrants. Recognise where a shape will be after 2 translations.

Properties of numbers and number sequences.

Reasoning about numbers.

Multiplication and division. Mental calculation strategies. Consolidate all previous work

Fractions, decimals and percentages. Consolidate all previous work

Ratio and proportion.

Time, including problems.

Handling data. Consolidate all previous work

Use language of probability, interpret grouped discrete data on a bar chart, find the mode and range of a set of data. Begin to find median and mean.

Spring Term Spring Term

The children will be taught to read and write any whole number in figures and words.

Order a set of positive and negative numbers.

Order fractions; mixed decimals.

Know simple fractions as percentages/decimals.

Round whole numbers to the nearest 10, 100 or 1,000.

Round decimals to the nearest whole number or nearest tenth.

Know some fractions as percentages/decimals, find simple percentages.

Add/subtract a pair of 2 digit numbers, including crossing 100.

Find pairs with sum of 100, multiples of 50 sum 1000, decimals sum 0.1, 1, 10.

Count on/back in steps of 25, 0.2, 0.25, 0.5...

Recall multiplication facts to 10 x 10 and derive all division facts. Recall squares to 12 x 12.

Give pairs of factors for whole numbers to 100. Use tests of divisibility.

Find halves of decimals ending in an even digit eg. 3.8 ÷ 2, 0.76 ÷ 2.

Multiply and divide whole numbers up to 10,000 by 10, 100 or by 1,000.

Convert metres to centimetres and £ to pence, m to cm, km to m, kg to g and litres to ml, seconds and minutes

Multiply mentally any 2 digits number to 50 by a 1 digit number.

 

 

 

 

The children will be taught place value, ordering, estimating and rounding up.

Ordering a set of positive and negative integers.

Develop calculator skills and use a calculator effectively.

Understanding x and ÷, use brackets and factors.

Understand the effect of and relationships between +, -, x and ÷.

Mental calculation strategies (x and ÷). Consolidate all previous work.

Pencil and paper procedures (x and ÷).

Extend written methods to short division of TU and HTU and of decimals.

Money and 'real life' problems, convert £ to p, using all 4 operations.

Making decisions, checking results, including using a calculator.

Choose appropriate operation/calculation methods.

Use read and write standard metric units of mass, convert larger to smaller units of mass and vice versa know lbs and ozs and metric equivalents.

Shape and space and find areas using formulae.

Visualise 3D shapes from 2D drawings, use a protractor to measure and draw angles to 1 degree.

Properties of numbers and number sequences.

Reasoning about numbers

Multiplication and division. Mental calculation strategies. Recognise primes.

Fractions, decimals and percentages. Order fractions by converting to a common denominator. Order a mixed set of numbers with upto 3 decimal places.

Handling data, represent, extract and interpret data in a line graph.

Summer term Summer term

The children will be taught to read and write any whole number in figures and words.

Order a set of positive and negative numbers.

Order fractions; mixed decimals.

Know simple fractions as percentages/decimals.

Round whole numbers to the nearest 10, 100 or 1,000.

Round decimals to the nearest whole number or nearest tenth.

Know some fractions as percentages/decimals, find simple percentages.

Add/subtract a pair of 2 digit numbers, including crossing 100.

Find pairs with sum of 100, multiples of 50 sum 1000, decimals sum 0.1, 1, 10.

Add several single digit numbers.

Count on/back in steps of 25, 0.2, 0.25, 0.5...

Recall multiplication facts to 10 x 10 and derive all division facts. Recall squares and primes.

Give pairs of factors for whole numbers to 100. Use tests of divisibility.

Find halves of decimals eg. 3.8 ÷ 2, 0.76 ÷ 2, 7.9 ÷ 2, 0.9 ÷ 2.

Multiply and divide whole numbers up to 10,000 by 10, 100 or by 1,000.

Convert metres to centimetres and £ to pence, m to cm, km to m, kg to g and litres to ml, hours, seconds and minutes

Multiply mentally any 2 digits number by a 1 digit number eg. 3.6 x 4.

 

 

 

 

The children will be taught place value, ordering, estimating and rounding up. Use vocabulary of estimation and approximation.

Ordering a set of positive and negative integers.

Develop calculator skills and use a calculator effectively.

Express a quotient as a fraction or a decimal rounded to 1 decimal place.

Understand the effect of and relationships between +, -, x and ÷.

Mental calculation strategies (x and ÷). Consolidate all previous work.

Multiplication of HTU by TU, division of HTU by TU (long division, whole number answer).

Money and 'real life' problems, convert £ to p, using all 4 operations, including finding percentages and VAT.

Making decisions, checking results, including using a calculator.

Choose appropriate operation/calculation methods.

Use read and write standard metric units of capacity, convert larger to smaller units of capacity and vice versa know pints and gallons and metric equivalents.

Shape and space; recognise where a shape will be after reflection, consolidate work on translations and rotations.

Make and investigate a general statement about shapes.

Properties of numbers and number sequences.

Reasoning about numbers

Multiplication and division. Mental calculation strategies. Recognise primes.

Factorise numbers to 100 into prime factors.

Fractions, decimals and percentages. Begin to convert fractions to decimals, express simple fractions as percentages.

Ratio and proportion.

Handling data; extract information from a simple frequency table, interpret a simple pie chart.

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