Art

Maths is EverywhereM. C. Escher, Horseman, 1946

Tessellation is the process of tiling a space with congruent (identical) shapes.

Art

Maths is EverywherePatrick Seymour, Faces

Reflection and rotation symmetry can be found in art and nature.

Art

Maths is Everywhere

Drawing with a vanishing point to create perspective was first explained by mathematicians and geometers in the 15th century.

Business

Maths is Everywhere

Calculating profit and loss, projecting sales, setting targets, interpreting figures: these are all essential parts of any business.

Computing

Maths is Everywhere

Computers run on tiny circuits that have two states: on or off. Each state is represented by either 1 (on) or 0 (off). This means any calculations are done with these binary numbers and the entire system is built upon calculations in binary.

Computing

Maths is Everywhere

Disk space is calculated as powers of 2:

1 bit = 1 or 0 (on or off)1 nibble = 4 (22) bits1 byte = 8 (23) bits1 kilobyte = 1024 (210) bytes1 megabyte = 1024 (210) kilobytes or 220 bytes1 gigabyte = 1024 megabytes, or 230 bytes1 terabyte = 1024 gigabytes, or 240 bytes

Computing

Maths is Everywhere

Computer programming is written with algorithms, which follow the rules of mathematical logic.

Computing

Maths is Everywhere

All motion of objects in computer games is calculated using mathematical equations, which are most often quadratic.

Computing

Maths is Everywhere

So much animation uses mathematics, from Bézier curves to draw moving grass, to combinatorics to design hundreds of robots from just a few component parts.

Economics

Maths is Everywhere

The worldwide monetary system relies on complex calculations and statistics.

English

Maths is Everywhere

These literary works all contain elements of mathematics, and are all notable in their genres.

English

Maths is Everywhere

In any book or collection of written works the most common word will probably be the. The second most common word would be of and this is used as often as the, the third most common would be to and this is used as much as the, the fourth most

common would be and and this is used as much as the. This pattern continues indefinitely and, remarkably, is true for both written and spoken language!

This amazing rule is called Zipf’s Law and actually holds for all languages!

Food

Maths is Everywhere

Understanding of ratio and proportion, and good mental arithmetic, are essential when making changes to recipes to cater for larger or smaller groups of people.

Food

Maths is Everywhere

Quality control in food technology is often conducted using statistics and the normal distribution. For instance, if a jar claims to contain 300g of sauce, the machine may be set so that 90% of jars contain between 290g and 310g.

Geography

Maths is Everywhere

Surveying equipment, used to determine features of the landscape, such as heights of mountains, is created using mathematics, especially trigonometry.

Geography

Maths is Everywhere

Human geography involves studying patterns in populations and settlements, and requires use of lots of statistics to analyse what is observed.

Geography

Maths is Everywhere

Map reading involves the ability to read coordinates and to calculate using scales, such as 1:50000.

History

Maths is Everywhere

Mathematics has its very own history, from its roots in ancient cultures, through the Greeks and Romans (think Pythagoras), onto Newton and more recent history, including tales of murder and jealousy, culminating in the 20th century which has seen mathematics form the bedrock of modern society.

History

Maths is Everywhere

Graphs and charts provide valuable insights when analysing historical data.

Health and Social Care

Maths is Everywhere

Growth and physical development in children has been closely monitored, and using statistics such as percentiles we can accurately track physical development and use it as an indicator of potential health problems.

Health and Social Care

Maths is Everywhere

Research into health and social care, including best practices, is often conducted using surveys, questionnaires, and gathering of data, which is then analysed and presented using statistics and graphs.

Languages

Maths is Everywhere

1 + 3 = 4 uno más tres escuatro

8 – 2 = 6 ocho menos dos esseis

4 × 5 = 20 cuatro multiplicado por cinco es veinte

10 ÷ 2 = 5 diez dividido por dos es cinco

The Spanish mathematician Abraham bar Hiyya was the first person to record a method for solvingquadratic equations, during the 12th century.

Languages

Maths is Everywhere

1 + 3 = 4 eins plus drei machtvier

8 – 2 = 6 acht minus zweimacht sechs

4 × 5 = 20 vier mal fünf machtzwanzig

10 ÷ 2 = 5 zehn durch zweimacht fünf

The German mathematician Carl Friedrich Gauss, working in the early19th century, is considered the Prince of Mathematics, one of the greatestmathematicians who has ever lived.

Languages

Maths is Everywhere

1 + 3 = 4 un plus trois faitquatre

8 – 2 = 6 huit moins deux faitsix

4 × 5 = 20 quatre fois cinque faitvingt

10 ÷ 2 = 5 dix divisé par deuxfait cinque

In the 17th century, the French mathematician René Descartes created, amongst other things, the coordinategrid that we still use to draw graphstoday.

The Beauty of Maths

Maths is Everywhere

We don’t learn maths because it can be applied to other subjects, we learn it because it exists, because there is beauty in pattern and number, and because it is the language that describes our world.

The Beauty of Maths

Maths is Everywhere

We don’t learn maths because it can be applied to other subjects, we learn it because it exists, because there is beauty in pattern and number, and because it is the language that describes our world.

Media Studies

Maths is Everywhere

So much animation uses mathematics, from Bézier curves to draw moving grass, to combinatorics to design hundreds of robots from just a few component parts.

Media Studies

Maths is Everywhere

The equipment you use is built upon mathematics. Focus, aperture and depth of field are all related using calculations of ratio and proportion.

Music

Maths is Everywhere

The tempo of a piece of music determines how many beats per minute (bpm) the music runs at. Music software calculates tempos in order to speed up or slow down recordings. Music technology also uses the mathematics behind sound waves, which involves trigonometry ( , , ).

Music

Maths is Everywhere

semibreve minim crotchet quaver semiquaver

Length 1 ⁄ ⁄ ⁄ ⁄

A dot means the note is one-and-a-half times its usual length, so:

= + =

Music

Maths is Everywhere

By halving the length of a string, you double its resonant frequency and create an octave.  So be it a piano, guitar, violin or any other stringed instrument, a note one octave higher will be created with a string exactly half the length.

Other notes are made by dividing the string into different fractions of its original length.

PD & RE

Maths is Everywhere

Percentages and figures are used to consider how the world looks through different eyes.

For instance:

• ¼ of the world’s population identifies as Muslim.

• 112,330 households applied to their local authority for homelessness assistance in 2014.

• It is estimated that 2% of the UK adult population is not heterosexual.

Physical Education

Maths is Everywhere

Biomechanics is the mathematical analysis of physical performance, impact, stresses and strains, in order to improve sporting ability and find ways of minimising and treating injury.

Physical Education

Maths is Everywhere

Many athletes work to improve their speed. By measuring the time taken to cover a distance, you calculate the speed using the formula

speed = distancetime

Psychology & Sociology

Maths is Everywhere

Social scientists use advanced statistical techniques, such as hypothesis testing, to analyse experiments and test their ideas.

Science

Maths is Everywhere

Biologists use mathematics to analyse their experiments and to model the world around us.

Without mathematics, our understanding of the natural world would be much more limited.

Mathematical modelling enables biologists to predict everything from population growth and decay in species to how cells interact with each other.

Science

Maths is Everywhere

Pharmaceuticals are created using a lot of mathematics. Firstly, quantities of each ingredient are carefully calculated, then the medicines are tested on people and the results of these tests analysed using statistics, until the pharmaceutical companies are happy that the medicines are both safe and effective.

Science

Maths is Everywhere

Chemical reactions are modelled using equations. For instance, the Arrhenius Equation tells us how temperature affects the rate of a reaction:

where is the reaction rate, is the pre-exponential factor, is the activation energy,

is the universal gas constant and is the absolute temperature (in Kelvin).

is an an irrational number, like , which occurs in many equations that describe exponential growth and decay.

Science

Maths is Everywhere

Any kind of data is often best represented and understood in a graph. Since science involves lots of observation and gathering data, it inevitably uses lots of graphs!

Science

Maths is Everywhere

Projectile motion always forms the shape of a quadratic, and is modelled using quadratic equations.

Science

Maths is Everywhere

Using mathematical equations, scientists know how things move, how forces affect motion, and can even model the motion of liquids.

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Technology

Maths is Everywhere

Scale drawing is a feature of technology, and accuracy is paramount to producing quality work.

Technology

Maths is Everywhere

3D objects need to be accurately represented in 2D drawings. One of the most common ways of doing this is through isometric drawing (which you normally do in maths using dotty paper).

30˚30˚

Technology

Maths is Everywhere

Electrics and electronics obey a number of mathematical laws. For instance, resistance in a parallel circuit is calculated using:

1 1⋯

Technology

Maths is Everywhere

Robotics makes regular use of mathematics. Trigonometry ( , , ) is used to create rotations and movement of arms and legs, as well as springing and bouncing motion to make movement smoother.

Textiles

Maths is Everywhere

Measuring, scale and proportion skills are essential for working with textiles.

Where you might estimate how much more/less of a material you need to make something bigger/smaller, in the textiles industry, where wastage costs money, these things need to be calculated accurately.