Indices/Powers Extension

Once you have mastered Indices at GCSE, there isn't a lot of investigation without going into logs, so I created these sheets - they are difficult and would probably do well in A level classes too.

Drawing Challenges - Geometry Proof

I've used these for introduction to proof, angles and any geometry subject really.

Encourage the student to give an absolute reason why they might not be able to complete any of the challenges.

I usually ask students to prove or draw on the whiteboard as we are going along. Students can use peer work as they work themselves. Sometimes I might send someone who is wrong up to the front to draw their solution - this normally generates great debate and questions many students working.

Fraction Finding - Mastery Exercise

Fraction Finding - Mastery

Low entry - use when students can add fractions together. The higher ability students should be looking for strategies to quicken the guessing process.

Finally - create your own homework for another student.

Ratio Boxes

I saw a question recently in the new AQA textbooks that got me very excited. The reason is that it is low entry. All these style questions can be solved with simple trial and error and some basic simplifying of ratio.

However, life is made a lot easier if you use normal techniques for dividing into a ratio. It is a real puzzle question which tests deep understanding of the work, whilst also offering an opportunity to at least have a go in some way. If this is the way GCSE's are going, then I can't wait!

Below are some extra extension questions I have made to have a go at too. They come with solutions :)