# Careers involving algebra

A series of careers-based teaching resources and lesson plans designed to cover algebraic topics within the mathematics curriculum.

### Hannah Fry: Algebra

In this video, from Head Steam, Hannah Fry gives an overview of the power of algebra. She explains how the same formula can be applied in a variety of situations and gives an introduction as to why it is important that students are able to understand and use algebra.

### Real life maths - Hannah West

Lieutenant Commander Hannah West is a Requirements Manager in the Air Platform Systems Project Team in the Royal Navy. Hannah has been responsible for managing a maintenance department, supporting the flying operations of three helicopters. Her role involved coordinating the medium/long-term planning of helicopter maintenance. In particular, when a fault emerged on a helicopter that was outside the remit of the maintenance manuals, it would be her responsibility to determine a safe way to proceed and ultimately decide if the aircraft was safe to fly.

This challenge explores the wear and tear on the airframes of Royal Navy aircraft. Students will organise and interpret data on how crack lengths correlate with flying time and use a line of best fit to predict when parts are likely to need to be repaired or replaced.

### Real life maths - Roma Agrawal

Roma Agrawal is an Associate Structural Engineer at engineering company WSP. She is responsible for making buildings and bridges stand up.

In this resource students explore how to protect tall buildings from the wind force that acts on them. Students will use a flow diagram and use their calculations to chose a suitable structural option to ensure the building won't sway in high winds.

### Real life maths - Sayara Beg

Sayara Beg is a Data Scientist and STEM Ambassador. Her role involves project management (monitoring all aspects of a project, from the initial planning to the very end, to ensure it runs efficiently and achieves what it set out to do) and statistical analysis.

In this challenge students will explore variables, build and test a simple formula designed to help a smoothie company model demand for their product. The lesson plan includes three tasks that help students to explore the application of linear equations.

### Mathematics for Engineering Exemplars

These Mathematics for Engineering exemplars provide support for teachers using contextualised mathematics, and help students gain fluency in the use of mathematics for practical problem solving.

This collection also illustrates some of the mathematics in the Advanced Diploma in Engineering, undertaken by engineers.

### Mathematics in Real Life Contexts - Air Travel

A collection of three resources exploring the mathematics used in air travel. Students explore:

- Scheduling of aircraft, the construction of timetables and dealing with time zone differences
- Scheduling pilots, using formulae to calculate the working time of pilots
- The use of formulae to calculate flight charges accrued by aircraft flying over different countries.

### Air Miles

This More Maths Grads resource, from the Maths Careers website, investigates the maths used in transport and is based on the travelling salesman problem.

Students are given a table containing information on the cost of air travel between nine different cities and asked to plan a route that visits each destination at the smallest cost. Possible approaches are discussed and links to further materials are also included.

### Fire Hydrants

This Nuffield activity asks students to experiment with the placing and number of fire hydrants required in a city with square blocks that form a rectangular grid.

### F1 in Schools: Mathematics - Calculating Speed

Using the F1 in schools curriculum resource students will need to to apply their knowledge of speed, time and distance to calculate the speed of an F1 car using real race data. Students are presented with a circuit map of Monaco showing speeds in mph and Kph, the gear used and target times at different points on the circuit.

### NASA Space Math

This series of activities from NASA are based on a weekly series of space science problems distributed to teachers in the United States, from 2004 to 2010. They were intended for students aged 9 to 19 looking for additional challenges in the mathematics and physical science curriculum. The problems were created to be authentic glimpses of modern science and engineering issues, often involving actual research data.

### Maths Careers: Practical applications of algebra

This collection contains a range of teaching materials to support the Maths Careers article 'Practical Applications of Algebra'.

The resource collection includes a link to the article and resources from the STEM Learning collection to explore the algebra it covers.

### Maths Careers: Euler's Formula

This collection contains a range of teaching materials to support the Maths Careers article 'Euler's Formula' by Hazel Lewis. The resource collection includes a link to the full article as well as teaching resources to help further explore properties of polyhedra. Activities explore rotational symmetry, properties of shape, and polydrons.

### cre8ate maths

Cre8ate resources explore twelve different employment sectors, and include activities that relate to the industrial or work related aspects of the context. The key characteristic of all the resources is that they link real and significant mathematical thinking with authentic real world applications.