## Number

## 5. apply systematic listing strategies including use of the product rule for counting

The new UK GCSE specifications now include systematic listing strategies.

Some resources for this topic:

**Transum Mathematics** has many excellent resources including a **section on Combinations**, where you will find Combinations starters, activities and investigations. The Transum site includes links to some videos includes The Counting Principle which provides a clear introduction. Note Transum’s clear **index for teachers** and for students, **Maths Map** with numerous activities to support their learning.

Nrich has a sophisticated problem, **Fraction Combinations **which not only asks students to systematically list possibilities but work with fractions too.

**Ben Moss** has a rather nice **area problem** which it seems to me will involve students in some systematic listing! I tried this with Year 7 and it worked very well.

AQA have a very clear **Teaching Guidance document** with many useful examples, I use these a lot in class. If you use or are considering using AQA you can register **here** (there seems to be a problem with the link on the Teaching Guidance document page).

And finally (for now!) Don Steward has this **bracelets or necklaces** problem.

Have a look at this post on Just Maths: **Product Rule for Counting **which includes Pearson / Edexcel exam questions and solutions.