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Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

• What is e? Dr James Grime discusses e - the famed Euler's Number.

Here are some exam-style questions on this statement:

• "While studying a new disease, scientists found that the number of toxic cells in the bloodstream increased over time, according to the model \(D(t)=12×(1.16)^t , t \ge 0\) where \(D\) is the number of the toxic cells in the bloodstream per litre and \(t\) is the time in hours." ... more
• "Percy Cod and Fran Finklestein are both researchers working at different universities. They are each studying a different colony of bacteria which coincidentally start increasing in size at the same time." ... more
• "In a remote lake it was noticed by conservationists that a disease was rapidly spreading amongst two species of fish, R and S, which is reducing their numbers. The conservationists calculated that the numbers of each type of fish can be modelled by the functions:" ... more

See all these questions

Here is an Advanced Starter on this statement:

• Index Equation
  Solve x squared equals sixteen to the power of x more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

• Indices Where do many fish live? Indices (in the seas!) This topic involves the use of the index, power or exponent. The concept is easily misunderstood and a surprisingly large number of pupils will evaluate 62 as 12 and not 36. After having mastered positive integer indices pupils should move on to negative indices and fractional indices. Exploring this topic in both numeric and algebraic ways will provide understanding and competence in this important concept.