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Calculations involving exponential growth: world population

Recently the world's population passed seven billion and it continues to grow by 200,000 people every day. Listen to some reasons why our population is growing at such a rate, and the strain this will put on resources such as food and water. This clip provides context for calculations involving exponential growth.

Moving Image

Maths of mouse plagues

How do pests such as mice reach plague proportions? The answer is that they can grow at an exponential rate. Watch this clip to see how that happens, but first enjoy (or squirm at) some footage of a real mouse plague.

Video

Using exponents in real-life contexts

This animated presentation provides four examples of the use of exponential functions to model real-life practical situations. The examples highlight the manipulation of indices (exponents) and the index laws.

Teacher resource

Secondary mathematics: different representations

These seven learning activities, which focus on 'representations' using a variety of tools (software) and devices (hardware), illustrate the ways in which content, pedagogy and technology can be successfully and effectively integrated in order to promote learning. In the activities, teachers use different representations ...

Teacher resource

TIMES Module 22: Number and Algebra: consumer arithmetic - teacher guide

This is a 23-page guide for teachers, providing an introduction to the financial mathematics component of the number and algebra strands for years 9 and 10. A brief history of the concept of money concludes the module.

Teacher resource

Exponential and logarithmic functions

This is a teacher resource for exponential and logarithmic functions consisting of a website, a PDF with identical content and a number of screencasts discussing the solutions of exercises. It contains an introduction to the logarithmic and exponential functions and their uses. The functions are introduced and their properties ...

Teacher resource

Growth and decay

This is a teacher resource for applications of logarithmic and exponential functions consisting of a website and a PDF with identical content. It contains examples of applications of exponential and logarithmic functions such as radioactive half-life and population growth.

Teacher resource

Exponential growth and doubling time

This resource aims to guide and support a mathematics teacher of Year 10 across three main areas as the class explores the mathematics of exponential growth. The contexts used are compound interest, animal and human population growth, and the growth (and decay) of bacteria populations.

Teacher resource

reSolve: Real World Algebra: Exponential Functions

This sequence of two lessons explores exponential functions as seen in the real world, linking the representations of function rules, graphs and tables of values. Students consider real world objects and data that can be described using exponential functions. They use simulations and modelling to investigate transformations, ...