##### Vary and twist: Simplifying ratio

This one was hard. I spent ages rearranging questions and looking at what should be added. Specifically, I had a massive dilemma when it came to introducing fractions. I was trying to point out the ways in which simplifying fractions and simplifying ratio were similar, but I’m not sure that I haven’t just led students down the wrong path thinking they’re equivalent. For instance 5 : 6 is 5/11 and 6/11, not 5/6. Hmmmm.

The variations I used for section A.

- An example where you can use a prime divisor
- The opposite way around. What happens to our answer. Order is important!
- Half one side. 8 : 5 becomes 4 : 5
- One that’s already as simple as possible. Time for some questioning? How do you know you can’t simplify it?
- It’s not just reducing the numbers down. Here you have to multiply up. Deals with what simple is. I have changed this from the picture to make only one number vary from the previous question.
- Needs a non prime divisor. This isn’t really a variation, though. It has nothing really to do with the previous questions!
- Again, double one side
- Double both. Our answer does not double!
- Adding a third part of the ratio. Changes the answer significantly.
- Doubling two parts here. Our parts don’t double in our answer!

If you amend this and it works better, please let me know!