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 ExampleActivity |
Read, write and order numbers up to 1000 ExampleActivity |
Read, write and order numbers up to ten million ExampleActivity |
Understand place value for numbers up to ten million ExampleActivity |
Work with numbers up to ten billion ExampleActivity |
---|---|---|---|---|---|

Mental |
Mentally add single digit numbers ExampleActivity |
Know number pairs that add up to 10, 12, 15 etc. ExampleActivity |
Mentally add two digit numbers ExampleActivity |
Know the 2, 5, 10 and 11 times tables ExampleActivity |
Know all times tables (2 to 12) ExampleActivity |

Adding |
Add single digit numbers up to 9 ExampleActivity |
Add two digit numbers up to 99 ExampleActivity |
Add three digit numbers up to 999 ExampleActivity |
Find sums of more than two numbers ExampleActivity |
Solve problems involving addition of large numbers ExampleActivity |

Subtracting |
Subtract one single digit number from another ExampleActivity |
Subtract numbers up to 20 ExampleActivity |
Subtract numbers up to 50 without carrying ExampleActivity |
Subtract numbers up to 99 ExampleActivity |
Subtract numbers up to 999 ExampleActivity |

Multiplying |
Multiply numbers up to and including 12 ExampleActivity |
Multiply a two digit number by a whole number less than 10 ExampleActivity |
Multiply two two digit numbers ExampleActivity |
Multiply a three digit number by a two digit number ExampleActivity |
Multiply a three digit number by a three digit number ExampleActivity |

Dividing |
Divide a two digit number by a single digit number ExampleActivity |
Divide a three digit number by a single digit number ExampleActivity |
Divide a three digit number by a two digit number ExampleActivity |
Deal appropriately with the remainder of a division ExampleActivity |
Divide a large number by a two digit number ExampleActivity |

Rounding |
Round numbers to the nearest whole number ExampleActivity |
Round numbers to one decimal place ExampleActivity |
Round numbers to two decimal places ExampleActivity |
Round numbers to three significant figures ExampleActivity |
Round numbers to the nearest ten, hundred etc ExampleActivity |

Negative |
Subtract a single digit number from a smaller number ExampleActivity |
Subtract a two digit number from a smaller two digit number ExampleActivity |
Addition and Subtraction of directed numbers ExampleActivity |
Multiplication of directed numbers ExampleActivity |
Multi-part operations with directed numbers ExampleActivity |

Decimals |
Add and subtract basic decimal numbers ExampleActivity |
Use decimals in real life situations (eg money) ExampleActivity |
Multiply and divide decimal numbers by whole numbers ExampleActivity |
Multiply decimal numbers ExampleActivity |
Divide decimal numbers ExampleActivity |

Fractions |
Understand notation, simplifying and simple equivalence ExampleActivity |
Add and subtract fractions with a common denominator ExampleActivity |
Multiply and divide fractions ExampleActivity |
Add and subtract fractions which don't have a common denominator ExampleActivity |
The four rules of fractions and mixed numbers ExampleActivity |

Factors |
Find factors of numbers informally ExampleActivity |
Know the properties of prime numbers ExampleActivity |
Find all the factors of a number ExampleActivity |
Find the HCF and LCM of two numbers ExampleActivity |
Use the properties of numbers to solve problems ExampleActivity |

Percentages |
Understand the concept and estimate percentages ExampleActivity |
Calculate with simple percentages such as 50% and 75% ExampleActivity |
Calculate with everyday percentages in real life problems ExampleActivity |
Express percentages as fractions and decimals ExampleActivity |
Solve problems involving percentage change ExampleActivity |

Ratio |
Identifying ratios from pictures ExampleActivity |
Simplifying ratios ExampleActivity |
Simplifying ratios with fractional parts ExampleActivity |
Dividing a quantity in a given ratio ExampleActivity |
Using ratios in real life ExampleActivity |

Estimating |
Estimate instead of counting ExampleActivity |
Estimate lengths ExampleActivity |
Estimate the size of angles ExampleActivity |
Approximate to give estimated solutions to problems ExampleActivity |
Estimate the results of calculations ExampleActivity |

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.