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Resources tagged with Real world similar to Population Dynamics - Part 4:

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Broad Topics > Using, Applying and Reasoning about Mathematics > Real world

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Predator - Prey Systems

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

See how differential equations might be used to make a realistic model of a system containing predators and their prey.

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Population Dynamics

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

This problem opens a major sequence of activities on the mathematics of population dynamics for advanced students.

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Bionrich

Stage: 4 and 5 Challenge Level: Challenge Level:1

bioNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of the biological sciences, designed to help develop the mathematics required to get the most from your. . . .

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Population Dynamics Collection

Stage: 5 Challenge Level: Challenge Level:1

This is our collection of tasks on the mathematical theme of 'Population Dynamics' for advanced students and those interested in mathematical modelling.

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Mathematics in the Financial Markets

Stage: 5

Financial markets mean the business of trading risk. The article describes in simple terms what is involved in this trading, the work people do and the figures for starting salaries.

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Stemnrich Picture of the Month

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

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Engnrich

Stage: 5 Challenge Level: Challenge Level:1

engNRICH is the area of the stemNRICH Advanced site devoted to the mathematics underlying the study of engineering

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Physnrich

Stage: 4 and 5 Challenge Level: Challenge Level:1

PhysNRICH is the area of the StemNRICH site devoted to the mathematics underlying the study of physics

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Moving Stonehenge

Stage: 5 Challenge Level: Challenge Level:1

A look at the fluid mechanics questions that are raised by the Stonehenge 'bluestones'.

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Chemnrich

Stage: 4 and 5 Challenge Level: Challenge Level:1

chemNRICH is the area of the stemNRICH site devoted to the mathematics underlying the study of chemistry, designed to help develop the mathematics required to get the most from your study. . . .

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Over-booking

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

The probability that a passenger books a flight and does not turn up is 0.05. For an aeroplane with 400 seats how many tickets can be sold so that only 1% of flights are over-booked?

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Guessing the Graph

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you suggest a curve to fit some experimental data? Can you work out where the data might have come from?

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FA Cup

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

In four years 2001 to 2004 Arsenal have been drawn against Chelsea in the FA cup and have beaten Chelsea every time. What was the probability of this? Lots of fractions in the calculations!

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More Realistic Electric Kettle

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

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Parallel Parking

Stage: 4

Scientist Bryan Rickett has a vision of the future - and it is one in which self-parking cars prowl the tarmac plains, hunting down suitable parking spots and manoeuvring elegantly into them.

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Randomness and Brownian Motion

Stage: 5

In Classical times the Pythagorean philosophers believed that all things were made up from a specific number of tiny indivisible particles called ‘monads’. Each object contained. . . .

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Spectrometry Detective

Stage: 5 Challenge Level: Challenge Level:1

From the atomic masses recorded in a mass spectrometry analysis can you deduce the possible form of these compounds?

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Big and Small Numbers in Physics - Group Task

Stage: 5 Challenge Level: Challenge Level:1

Work in groups to try to create the best approximations to these physical quantities.

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Decathlon: the Art of Scoring Points

Stage: 3, 4 and 5

How do decisions about scoring affect who wins a combined event such as the decathlon?

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Fitting Flat Shapes

Stage: 5 Challenge Level: Challenge Level:1

How efficiently can various flat shapes be fitted together?

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A Method of Defining Coefficients in the Equations of Chemical Reactions

Stage: 4 and 5

A simple method of defining the coefficients in the equations of chemical reactions with the help of a system of linear algebraic equations.

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Bend

Stage: 5 Challenge Level: Challenge Level:1

What is the longest stick that can be carried horizontally along a narrow corridor and around a right-angled bend?

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Performing Beyond Expectations - Using Sport to Motivate Students in Mathematics Lessons

Stage: 2, 3 and 4

In this article, Alan Parr shares his experiences of the motivating effect sport can have on the learning of mathematics.

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May the Best Person Win

Stage: 1, 2, 3 and 4

How can people be divided into groups fairly for events in the Paralympics, for school sports days, or for subject sets?

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Where Am I?

Stage: 3 and 4 Challenge Level: Challenge Level:1

From the information you are asked to work out where the picture was taken. Is there too much information? How accurate can your answer be?

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Roasting Old Chestnuts 4

Stage: 3 and 4

For teachers. Yet more school maths from long ago-interest and percentages.

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Squash

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

If the score is 8-8 do I have more chance of winning if the winner is the first to reach 9 points or the first to reach 10 points?

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Public Key Cryptography

Stage: 5

An introduction to the ideas of public key cryptography using small numbers to explain the process. In practice the numbers used are too large to factorise in a reasonable time.

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Playing Squash

Stage: 5

Playing squash involves lots of mathematics. This article explores the mathematics of a squash match and how a knowledge of probability could influence the choices you make.

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A Brief History of Time Measurement

Stage: 2, 3, 4 and 5

Noticing the regular movement of the Sun and the stars has led to a desire to measure time. This article for teachers and learners looks at the history of man's need to measure things.

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Air Routes

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Find the distance of the shortest air route at an altitude of 6000 metres between London and Cape Town given the latitudes and longitudes. A simple application of scalar products of vectors.

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The Knapsack Problem and Public Key Cryptography

Stage: 5

An example of a simple Public Key code, called the Knapsack Code is described in this article, alongside some information on its origins. A knowledge of modular arithmetic is useful.

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Production Equation

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Each week a company produces X units and sells p per cent of its stock. How should the company plan its warehouse space?

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Stonehenge

Stage: 5 Challenge Level: Challenge Level:1

Explain why, when moving heavy objects on rollers, the object moves twice as fast as the rollers. Try a similar experiment yourself.

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Epidemic Modelling

Stage: 4 and 5 Challenge Level: Challenge Level:1

Use the computer to model an epidemic. Try out public health policies to control the spread of the epidemic, to minimise the number of sick days and deaths.

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Far Horizon

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

An observer is on top of a lighthouse. How far from the foot of the lighthouse is the horizon that the observer can see?

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Gym Bag

Stage: 3 and 4 Challenge Level: Challenge Level:2 Challenge Level:2

Can Jo make a gym bag for her trainers from the piece of fabric she has?

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The Mathematical Problems Faced by Advanced STEM Students

Stage: 5

STEM students at university often encounter mathematical difficulties. This articles highlights the various content problems and the 7 key process problems encountered by STEM students.

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Classic Cube

Stage: 5 Challenge Level: Challenge Level:1

The net of a cube is to be cut from a sheet of card 100 cm square. What is the maximum volume cube that can be made from a single piece of card?

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Magical Maze - 35 Activities

Stage: 4 and 5

Investigations and activities for you to enjoy on pattern in nature.

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Tournament Scheduling

Stage: 3, 4 and 5

Scheduling games is a little more challenging than one might desire. Here are some tournament formats that sport schedulers use.

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Carbon Footprints

Stage: 4 Challenge Level: Challenge Level:1

Is it really greener to go on the bus, or to buy local?

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Cool as Ice

Stage: 3 and 4 Challenge Level: Challenge Level:1

Design and construct a prototype intercooler which will satisfy agreed quality control constraints.

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Turning the Place Over

Stage: 3, 4 and 5 Challenge Level: Challenge Level:1

As part of Liverpool08 European Capital of Culture there were a huge number of events and displays. One of the art installations was called "Turning the Place Over". Can you find our how it works?

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Problem Solving, Using and Applying and Functional Mathematics

Stage: 1, 2, 3, 4 and 5 Challenge Level: Challenge Level:1

Problem solving is at the heart of the NRICH site. All the problems give learners opportunities to learn, develop or use mathematical concepts and skills. Read here for more information.

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Bent Out of Shape

Stage: 4 and 5 Challenge Level: Challenge Level:2 Challenge Level:2

An introduction to bond angle geometry.

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Bird-brained

Stage: 5 Challenge Level: Challenge Level:1

How many eggs should a bird lay to maximise the number of chicks that will hatch? An introduction to optimisation.