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These are the Transum resources related to the statement: "Laws of exponents with integer exponents. Introduction to logarithms with base 10 and e. Numerical evaluation of logarithms using technology".

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

- Dr Tim's Indices Challenge Dr Tim Honeywill has come up with these challenges to test your understanding of indices and algebra.
- Indices A self marking exercise on indices (powers) including evaluating statements and solving equations.
- Indices Pairs The traditional pairs or pelmanism game adapted to test knowledge of indices.
- Indices True False Arrange the given statements involving indices to show whether they are true or false.
- Logarithms Self-marking exercises on evaluating logarithms and using them to solve equations.

Here are some exam-style questions on this statement:

- "
*(a) The \(n\)th term of a sequence is \(2^n+2^{n+1}\)*" ... more - "
*In an old science fiction book the author described the intensity of reverse polarity, \(P\) measured in treckons, is a function of the nebula thrust, \(N\) measures in whovians. The intensity level is given by the following formula.*" ... 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.
- Logarithms Older teachers will remember their school days, before calculators were widely available, using logarithms to perform difficult multiplication and division calculations. Nowadays logarithms, or logs as they are more commonly known, are studied as part of an A Level and International Baccalaureate course and are seen as being useful for solving certain exponential equations. Basically a logarithm is the inverse function to exponentiation.

Examples (from the syllabus)

$$5^3 \times 5^{-6} = 5^{-3}$$ $$ 6^4 \div 6^3 = 6$$ $$ (2^3)^{-4} = 2^{-12}$$ $$ (2x)^4 = 16x^4$$ $$ 2x^{-3} = \frac{2}{x^3}$$How do you teach this topic? Do you have any tips or suggestions for other teachers? It is always useful to receive feedback and helps make these free resources even more useful for Maths teachers anywhere in the world. Click here to enter your comments.