Posted on 15/08/2016 by eveleighmathstutoradmin
You may have noticed the banner across the top of my website where “MATHS TUTOR +” is spelt out, and the formulae partly showing at the left are for the letter “A” and the “T”This started as a way to help ‘A’ level students to understand graphs functions which have moduli. As is often the […]
Wire models for 3D Pythagoras Th’m and trigonometry.
Posted on 15/08/2016 by eveleighmathstutoradmin
These were simply made from copper wire stretched straight, soldered together at the corners. At some stage I may re-make these – make a neater job, but they have served well for many years, helping my students to ‘see’ their way around 3D questions.
Posted on 14/08/2016 by eveleighmathstutoradmin
This was inspired by the posts you sometimes see in shopping malls with arrows pointing to ‘Lisbon – 853 miles’, etc. I decided I wanted to point directly at the places concerned, so the arrow for Wellington, New Zealand points almost straight down. I wrote down position vectors from the centre of the Earth for […]
The Sundial at Southend High School for Boys
Posted on 14/08/2016 by eveleighmathstutoradmin
I made this over a period of about 18 months with four talented sixth formers who were studying A level Maths and Further Maths, and Sciences. This was done just after Excel spread sheets became available and I was able to write down, in matrix form, an equation of motion for the sun across the […]
Posted on 14/08/2016 by eveleighmathstutoradmin
I made this device very early in my teaching career and have used it every year for showing pupils how to solve trigonometric equations where the answers go beyond 90 degrees. A nice added touch is the scale up the side from which tangent values can be read and whose line is a tangent to […]
Simultaneous equations by substitution using Duplo (Lego)
Posted on 14/08/2016 by eveleighmathstutoradmin
By unclipping the ‘y’ brick and turning it around, seeing that it is equivalent to 3x+4 (written on the back), you can remove ‘y’ from the second equation and physically substitute for it.
Enlargements and area and volume factors
Posted on 14/08/2016 by eveleighmathstutoradmin
This model demonstrates two different areas of mathematics: Enlargements, using ray lines to plot the image and the effects of negative and fractional scale factors. Area and volume ratios – the idea that if we double the dimensions of an object, the area of the object (or any part of the object) go up by […]
Posted on 14/08/2016 by eveleighmathstutoradmin
I had an old desk lamp with telescopic struts fail after many years. I used the struts to make this graph model which helps explain A level questions where an object ‘moves parallel to the vector 3i+4j with speed 17.5m.s-1 ‘ or ‘two footballers move with these velocity vectors from these initial positions – at […]
Posted on 14/08/2016 by eveleighmathstutoradmin
Geometrical proofs using vectors are met at GCSE – establishing properties of parallelograms and triangles, and the intersections of specific lines drawn across them, etc. This has strips of steel banding from brick pallets embedded in the base layer and the magnetic ladybird will only move in certain directions across the board. This demonstrates component […]
Posted on 14/08/2016 by eveleighmathstutoradmin
Conic sections are a whole branch of geometry taught on the Further Maths syllabus. This shows a cone cut to expose an Hyperbola, a Parabola and an Ellipse as cross sections. Hyperbola. Parabola. Ellipse.
