This is a simplified list of mathematical skills that pupils should have. It has been designed so that each idea has five levels making it visually easy to see where a pupil is now and what they need to do to improve.

Number

Read, write and order numbers up to 100

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Read, write and order numbers up to 1000

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Read, write and order numbers up to ten million

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Understand place value for numbers up to ten million

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Work with numbers up to ten billion

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Mental

Mentally add single digit numbers

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Know number pairs that add up to 10, 12, 15 etc.

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Mentally add two digit numbers

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Know the 2, 5, 10 and 11 times tables

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Know all times tables (2 to 12)

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Adding

Add single digit numbers up to 9

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Add two digit numbers up to 99

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Add three digit numbers up to 999

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Find sums of more than two numbers

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Solve problems involving addition of large numbers

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Subtracting

Subtract one single digit number from another

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Subtract numbers up to 20

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Subtract numbers up to 50 without carrying

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Subtract numbers up to 99

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Subtract numbers up to 999

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Multiplying

Multiply numbers up to and including 12

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Multiply a two digit number by a whole number less than 10

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Multiply two two digit numbers

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Multiply a three digit number by a two digit number

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Multiply a three digit number by a three digit number

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Dividing

Divide a two digit number by a single digit number

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Divide a three digit number by a single digit number

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Divide a three digit number by a two digit number

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Deal appropriately with the remainder of a division

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Divide a large number by a two digit number

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Rounding

Round numbers to the nearest whole number

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Round numbers to one decimal place

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Round numbers to two decimal places

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Round numbers to three significant figures

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Round numbers to the nearest ten, hundred etc

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Negative

Subtract a single digit number from a smaller number

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Subtract a two digit number from a smaller two digit number

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Addition and Subtraction of directed numbers

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Multiplication of directed numbers

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Multi-part operations with directed numbers

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Decimals

Add and subtract basic decimal numbers

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Use decimals in real life situations (eg money)

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Multiply and divide decimal numbers by whole numbers

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Multiply decimal numbers

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Divide decimal numbers

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Fractions

Understand notation, simplifying and simple equivalence

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Add and subtract fractions with a common denominator

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Multiply and divide fractions

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Add and subtract fractions which don't have a common denominator

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The four rules of fractions and mixed numbers

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Factors

Find factors of numbers informally

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Know the properties of prime numbers

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Find all the factors of a number

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Find the HCF and LCM of two numbers

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Use the properties of numbers to solve problems

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Percentages

Understand the concept and estimate percentages

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Calculate with simple percentages such as 50% and 75%

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Calculate with everyday percentages in real life problems

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Express percentages as fractions and decimals

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Solve problems involving percentage change

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Ratio

Identifying ratios from pictures

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Simplifying ratios

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Simplifying ratios with fractional parts

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Dividing a quantity in a given ratio

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Using ratios in real life

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Estimating

Estimate instead of counting

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Estimate lengths

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Estimate the size of angles

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Approximate to give estimated solutions to problems

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Estimate the results of calculations

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Please note that the main objective of creating this inventory grid was to produce something that provided visual impact. Each of the ideas or concepts has been broken down into five levels. This has been done for consistency so the differences in the difficulty between levels is not the same in all cases. Please let us know if you have any suggestions for improvement.

The activity buttons will take you to the nearest match activity on the Transum website. The activity is not always an exact match for the statement but is the closest available.

This page should print nicely for you records or can be used online. The page should remember your ticks from one visit to the next. It does this by using Local Storage so the information is saved only on the computer you are working on right now.

Transum subscribers can use this page as part of the Class Admin system keeping a record of progress for each and every student in the class.

See also the Formal Written Methods examples.

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