Shaftesbury Maths Tutor KS3 - GCSE

23/08/2020

Union Jack in Desmos with rotations.

20/08/2020

Phased Array simulation in Desmos (Sonar/Radar)

20/08/2020

Spaniels Ears with quartic equations:-

Spaniels Ears

21/01/2020

It's all Greek to the Greeks

It is rare that we find a triangle theorem that was unknown to the Greeks, but here's one. The Greeks knew how to bisect an angle, but not how to trisect one. Morley's Trisector Theorem was discovered around 1900 by Frank Morley (1860-1937).

If all the internal angles of a triangle are trisected, the intersection of adjacent trisectors produce the vertices of an equilateral triangle, no matter what type of triangle we start with.

Illustrated here with Desmos:

Morley Trisector Theorem

04/06/2019

Patterns from bivariate quartic inequalities
https://youtu.be/sBtBUlG6UoM
https://youtu.be/VXQkfND-1sw

11/05/2019

https://www.desmos.com/calculator/9goeekr95q

Packing Circles into Squares - Thinking outside the box inside the box!

Packing Circles into Squares

23/04/2019

An Inequality for St. George's Day

08/04/2019

Illustrating Quadratic Sequences with graphing calculator:

quad sequence

20/03/2019

A Mathematical 'Trick' based on the Fibonacci Sequence -
'Instant' addition of 10 numbers.

Fibonacci trick

16/03/2019

Transformations: Translation, Rotation, Reflection, Enlargement, demonstrated interactively using Desmos:

Transformations

12/03/2019

Using Desmos to show 9 Circle Geometry Theorems interactively.

Circle Geometry Theorems