In the last blog we looked at how ‘zero’ is the border that separates negative and positive numbers on a number line and that adding positive values is seen as a journey along the line to the right, the destination being the solution.…

# Number

## Understanding operations with negative numbers [1]. Introduction.

By the end of year 6 pupils are required to be able to solve problems with negative numbers. Negative numbers, conceptually are more difficult to visualise than their positive cousins or have fewer possibilities available to them should I say.…

## Fraction multiplication – Making sense of multiplying improper fractions.

In the last blog we looked at why multiplication of proper fractions can be fluently completed by multiplying numerators then doing the same with denominators. At this stage learners will have begun to understand this procedure and the truth of it…

## Fraction multiplication – a concrete approach

Why is the following statement true? For those of us in the know we might be tempted to say on the left hand side if we multiply numerators by each other and do likewise with denominators we will…

## Mental multiplication of odd numbers by 5

There are some very interesting, magical (initially) tricks used in mental mathematics which once practiced can serve you well. Once I am over the apparent magical quality of a procedure I cannot help myself but try to fathom out why…