# Off-the-shelf Masterclasses

## 1

### Off-the-shelf Masterclass: Being systematic

Investigate how many squares there are on a chessboard (hint: not 64) and extend this reasoning to cubes, triangular grids, and

### Off-the-shelf Masterclass: Big and small

Explore mathematical techniques for manipulating numbers from the minuscule to the huge. Test students' skills at estimation

### Off-the-shelf Masterclass: Bridges of Konigsberg

Discover the infamous Bridges of Konigsberg conundrum, first solved by the mathematician Euler. Explore the properties of basic

### Off-the-shelf Masterclass: Codebreaking and ciphers

Explore some encryption techniques used throughout history for guarding top-secret information. Encode messages using a variety

## 2

### Off-the-shelf Masterclass: Curve stitching

Explore parabolas occurring in nature, science and architecture and investigate the maths that underpins them. Create some of

### Off-the-shelf Masterclass: Digital computers

Since ancient times, humans have used their fingers for counting and calculations. Learn about ways you too can become a

### Off-the-shelf Masterclass: Get lucky

Explore the mathematical probability of winning the national lottery. In this Masterclass, students answer the big question ‘Is

### Off-the-shelf Masterclass: Magic squares

Magic squares are squares of numbers where all rows, columns and diagonals add up to the same magic total. Find out about their

## 3

### Off-the-shelf Masterclass: Mobius band

Play with simple strips of paper for this fun mathematical activity that will blow the minds of both the young students and

### Off-the-shelf Masterclass: Numbers in nature

What is the Golden Ratio and why is it interesting? Why does it crop up in nature so often? Here we explore these questions and

### Off-the-shelf Masterclass: Patterns in primes

Investigate the random nature of primes and the unusual patterns that emerge as you delve into them. Use a special number

## 4

### Off-the-shelf Masterclass: Rabbits and sequences

Explore ways of spotting patterns and finding rules for different numerical sequences. Have a go at modelling a rabbit

### Off-the-shelf Masterclass: Sierpinski’s triangle

Explore Sierpinski’s triangle, a beautiful mathematical shape which appears in surprising places. Create the shape in different

### Off-the-shelf Masterclass: Special number pi

Introduce your students to pi and explore its fundamental connection to circles, and the randomness in its infinite string of