# Resources

## Pi Sums

Watch Matt Parker's Pi Day 2019 video (below) where he estimates π using moments and a famous result proved by Euler. Here are some additional problems based on Euler's sum.

## Graceful Trees

Can you arrange five consecutive odd numbers in a line, so that the differences between adjacent pairs of numbers are all different? What if the numbers are connected in a way other than in a line?

The Graceful Tree Conjecture in graph theory says that we will always be able to arrange n evenly-spaced numbers in a tree (with n nodes) so that differences between adjacent pairs are all different. Explore this with your students!

## The Year of the Earth-Pig

Chinese New Year in 2019 (5 February) welcomes in the year of the Earth-Pig. In Chinese Mythology, each year has a Zodiac which comprises of an animal and an element. When will the next Earth-Pig year be? What was the Chinese Zodiac of the year of your birth? Celebrate Chinese New Year by using maths to answer these questions.

## New Year Calendar Resources

Which week day will your birthday be this year? Or in 2020? When will you next be able to re-use your 2019 calendar? This set of tasks is about the maths of calendars, and is inspired by Matt Parker's video 'How many calendars are there?'

## Celebrating Thirdsday

Here is a classroom activity to help you enjoy Thirdsday! Thirdsday celebrates the number 1/3 and occurs when January 3rd (or 1/3 when written as a US date) falls on a Thursday, as it does in 2019. The activity for your students is about an intriguing sum that gives us 1/3.

## The Twelve Days of Christmas

This set of resources is all about the song 'The Twelve Days of Christmas'. Work out your own Christmas Price Index (the cost of all the gifts in the song) as calculated by the PNC every year, create a formula for how many gifts are received in the song by the nth day and even make an extra festive Christmas Price Index chart.

## Mirror Pillar activities

Think Maths team members Matt and Katie have created a maths project that will take place from October 2018 - they've made a 2m tall cylinder out of mirror steel, and will be using it to create anamorphic images. Anamorphic images have been distorted, so that they only look correct when viewed from one exact position.

## The Utilities Puzzle

Have you met the Utilities Puzzle? A puzzle that cannot be solved on flat surface but can be solved on the surface of a mug! Introduce your students to this puzzle and other areas of graph theory with this set of resources.

## Psychic Pets

Across the world pets are making predictions about the outcome of World Cup 2018 games with Matt Parker's Psychic Pets project (video below). You can join in and register your pet!

These worksheets help explore the maths behind the Psychic Pets project. Curriculum topics covered include probability and combinations and permutations.

## Shapes of Constant Width

Did you know a circle is not the only shape that maintains the same width as you rotate it? There are other, lesser known, 'shapes of constant width'. In this set of resources students can explore what it means for a shape to have 'constant width', learn how to construct shapes of constant width using a pair of compasses and discover some real life shapes of constant width.