Ivy Maths

Inspirational Maths

Ideas and stories that change how you think about maths.

8 pieces

Rhia, smiling, with her maths work

Student Story 2 min read

Rhia: Three Years Beyond Her Year Group

Rhia is 12 years old and in Year 7. After taking an Ivy Assessment, her results showed she was working beyond her year group and ready for greater challenge. Six months later she is studying Year 10 maths.

Ollie, smiling, on the sofa at home

Student Story 2 min read

Ollie: The Gaps He Did Not Want to Admit

Ollie had gaps in his maths he did not want to admit. His Ivy Assessment showed exactly where they were and set a programme to close them. He found his confidence and caught up with his year.

A large zero on an amber ground

Big Idea 3 min read

Why Zero Had to Be Invented

People counted for thousands of years without a number for nothing. Zero as a number in its own right, one you can add, subtract and multiply with, was an invention, and it made place value and modern arithmetic possible.

A large seven on an amber ground

Big Idea 3 min read

The Seven Bridges of Königsberg

Could the people of Königsberg cross each of its seven bridges exactly once? Leonhard Euler proved they could not, and invented a way of thinking that now runs maps, networks and the internet.

A large letter p on an amber ground

Big Idea 3 min read

A Prime Number Is Never the Last One

The primes are the numbers that cannot be broken into smaller factors, and they get rarer as the numbers get bigger. Euclid showed that however far you go, there is always another one. His proof still fits on a postcard.

A large pi symbol on an amber ground

Big Idea 3 min read

The Number That Never Ends

Every circle, however large or small, has the same ratio between the distance around it and the distance across it. That ratio is pi, a little more than three, and its digits go on forever without ever settling into a pattern.

A large phi symbol on an amber ground

Big Idea 3 min read

Fibonacci and the Sunflower

Start with 1 and 1, and add the last two numbers to get the next: 1, 1, 2, 3, 5, 8, 13, 21. Count the spirals on a sunflower head or a pine cone and you will usually find two neighbours from that list.

A circled cross, the symbol for the Earth, on an amber ground

Big Idea 3 min read

Measuring the Earth with a Stick

Eratosthenes heard that at noon on midsummer’s day the sun shone straight down a well in Syene, while in Alexandria a stick cast a shadow. From that angle and the distance between them, he measured the Earth.