The slides are comprehensively linked to associated pedagogical guidance in the NCETM Primary Mastery Professional Development materials. There are also links to the ready-to-progress criteria detailed in the DfE Primary Mathematics Guidance 2020.

### Learning outcomes

# | Title |
---|---|

1 | Pupils use representations to identify and explain patterns in powers of 10 |

2 | Pupils compose seven or eight-digit numbers using common intervals |

3 | Pupils use their knowledge of the composition of up to eight-digit numbers to solve problems |

4 | Pupils explain how to read numbers with up to seven digits efficiently |

5 | Pupils recognise and create numbers that contain place-holding zeroes |

6 | Pupils determine the value of digits in numbers up to tens of millions |

7 | Pupils explain how to compare up to eight-digit numbers |

8 | Pupils use their knowledge of the composition of seven-digit numbers to solve problems |

9 | Pupils add and subtract mentally without bridging a boundary (only one and more than one digit changes) |

10 | Pupils add numbers whilst crossing the millions boundary |

11 | Pupils subtract numbers whilst crossing the millions boundary (multiples of 100,000 and different powers of 10) |

12 | Pupils explain how a seven-digit number can be composed and decomposed into parts |

13 | Pupils identify and explain a pattern in a counting sequence |

14 | Pupils identify numbers with up to seven digits on marked number lines |

15 | Pupils estimate the value and position of numbers on unmarked or partially marked number lines |

16 | Pupils explain why we round and how to round seven-digit numbers to the nearest million |

17 | Pupils explain how to round seven-digit numbers to the nearest hundred thousand |

18 | Pupils explain how to round up to seven-digit numbers to any power of 10 in context |

19 | Pupils identify and explain the most efficient way to solve a calculation |

20 | Pupils add and subtract numbers with up to seven digits using column addition and subtraction |

21 | Pupils explore and explain different written and mental strategies to solving addition and subtraction problems |

22 | Pupils solve addition and subtraction problems and explain whether a mental or written strategy would be most efficient |