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Listed under:  Mathematics  >  Number (Mathematics)  >  Number operations  >  Logarithms
Listed under:  Mathematics  >  Algebra  >  Functions and relations  >  Logarithms
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 ...

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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.

Teacher resource

TIMES Module 31: Number and Algebra: indices and logarithms - teacher guide

This is a 26-page guide for teachers. It extends the study of indices to rational indices and introduces logarithms.

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.

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Tuning and Ratio

This resource is a web page containing a challenging problem solving task that requires an understanding of ratios and logarithms. It explains how intervals such as an octave corresponds to a particular ratio of string lengths which produce the notes. Two types of tuning based on ratios; The Pythagorean Scale and Just Intonation ...

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Round and Round and Round

This resource is a web page containing an interactive that can be used to explore the relationships between the angles of turn that produce the same vertical and horizontal displacements. The task provides an opportunity to apply their understanding of division and recurring decimals. A 'Getting started' page, printable ...