In this lesson, children use their knowledge of square and cube numbers to solve problems involving both, and to recognise patterns between them. There is a teaching presentation accompanied by differentiated activities with a range of fluency, reasoning and problem-solving questions.
National Curriculum Objectives:
Mathematics Year 6: 

multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication
divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
divide numbers up to 4 digits by a two-digit number using the formal written method of short division where appropriate, interpreting remainders according to the context
perform mental calculations, including with mixed operations and large numbers
identify common factors, common multiples and prime numbers
use their knowledge of the order of operations to carry out calculations involving the 4 operations
solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
solve problems involving addition, subtraction, multiplication and division
use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

Differentiation:
There are three levels of differentiation in this pack: ‘working towards,’ ‘expected’ and ‘greater depth’.

Level of this Pack:
Age: 10-11
 England & Wales: Year 6
 Scotland: Primary 6
 Rep. Ireland: Fifth Class
 Australia: Grade 5
 USA: Grade 5

#autumn block 2
...