# Teaching Indices

Following on from working with surds, the class moved on to looking at indices.

Rather than give/show the class how the laws of indices work, I set this investigation. Continue reading

# Teaching Surds

My introduction to surds this year was by setting a problem to my class:

Calculate the exact value of the length of each missing side:

Initially the class knew exactly where to start. Pythagoras. Great. The problem arose when calculating the length of the hypotenuse of the red triangle. The class wanted a calculator. This led to a discussion about exact values and accuracy.

Then I set the class the challenge of drawing the Spiral of Theodorus and to calculate the hypotenuse of each triangle and also to calculate the area of each triangle. Continue reading

# Factors and Multiples

I want to share a few different activities that I use with pupils when working on factors and multiples.

• Finding the highest common factor. This is a problem solving activity I made to provide some extra challenge when finding the highest common factor. Working in small groups the pupils have to match a pair of numbers and a highest common factor. The trick is that there are different sets of numbers which will give the same highest common factor. I found that this tested the perseverance of my pupils.