In the previous blog we looked at why the formula for the area of a right-triangle is bh/2 where b is the base length and h is the vertical height of the triangle. It is important to note that this…

## The formulae for the area of a triangle. (Part 1 – The right-triangle.)

In the national curriculum for mathematics in England pupils are not required to calculate areas of rectangles, never mind triangles, until year 5 when the statutory requirement states: However go back to the year 1 programme of study it states…

## Teaching trigonometry – calculating unknown sides

In a previous blog we looked at how we might consider introducing trigonometry through the three main trig ratios for sines, cosines and tangents of angles in right-triangles. To recap, we saw that the sine of 30˚ was equal to 1/2…

## Teaching trigonometry – Introducing and explaining trig ratios

Before students start to study trigonometry it should be that they have grasped with confidence Pythagoras’ theorem and the ability to transpose formulae by making any element of a given equation the subject by rearranging. Example: Rearrange 4r -p…

## Requests for blogs

The blog site is now up and running. Mathsolutionz.org has been set up with the non-specialist mathematics teacher in mind. In my travels up and down the country I have noticed in recent years that many mathematics departments in secondary…

## Tell me about Pythagoras’ Theorem

The response to this when working with teachers is always interesting. Most non-specialist mathematics teachers who can remember being taught the subject are often still able to recall the neat algebraic equation This formula tells us that…

## The difference of two squares – what is really happening.

A specific problem Both 4x – 3y and 4x + 3y from the outset should be seen as non specific values, in other words numbers that will provide a product. The terms given in this problem are slightly more complex…

## Blogging about mathematics education.

Trying to make useful links and reasonable arguments for different approaches. Welcome to Mathsolutionz. This blog site is all about mathematics education, from early years through to sixth form. The recurring theme will be how the different topics within…