Downloadable Resources

# All In One - LCM & HCF - Part I

## 1 files12/11/2020

'All in One' worksheets provide a standalone exercise, solutions and a worked example, all on a single printable page.

# All in One - LCM & HCF - Part II

## 1 files12/11/2020

'All in One' worksheets provide a standalone exercise, solutions and a worked example, all on a single printable page.

# Divisibility Rules

## 3 files21/01/2020

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.

# GCSE/KS3 Prime Factorisation & LCM/HCF

## 3 files21/01/2020

Covers all aspects of the GCSE syllabus, including an extension section on counting factors.

# Number Theory

## 5 files22/07/2018

(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 2

^{4}x 3 x 5^{3}?) 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.# TMIDL #1: Using Venn Diagrams to determine the LCM/HCF

## 1 files05/01/2018

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.