'All in One' worksheets provide a standalone exercise, solutions and a worked example, all on a single printable page.
'All in One' worksheets provide a standalone exercise, solutions and a worked example, all on a single printable page.
Covers the divisibility rules from 2 to 11 when decomposing into rules for divisibility by higher numbers. Includes a worksheet; the answers are in the slides.
Covers all aspects of the GCSE syllabus, including an extension section on counting factors.
(a) Understand key terms such as perfect square, integer, positive integer, non-negative integers. (b) Prime factorise a number and use to find the LCM, HCF of two numbers. Understand when numbers are 'coprime'. (c) Know the divisibility laws from 3 to 11 and be able to break down into multiple divisibility rules for larger numbers. Use these rules to mentally prime factorise numbers rapidly and have a sense if a number is prime. (d) Find factors of a number using its prime factorisation (e.g. is 20 a factor of 24 x 3 x 53?) and determine the number of factors of a number. Extension: (i) Reason about divisibility on each side of an equation and of terms, and find integer solutions to linear equations (i.e. linear Diophantine equations). (ii) Further uses of prime factorisations: (1) Squares and cubes (2) Trailing zeroes.
A series of posters on teaching methods I don't like, including details of the original method, my pedagogical complaints, and my preferred method.
Key Skills are finegrained question types where students can practise randomly generated questions with accompanying short worked-example videos.