Exponential Error: This lesson starter presents a number of statements about indices and pupils are asked if they can spot the mistake.
Logarithms Advanced Starters:
Log Perfection: Determine whether the given statements containing logarithms are true or false
Logarithm Equation: Solve an equation containing logarithms with different bases
Product of Indices: Find the product of the unknown indices that feature in two equations
Curriculum for Logarithms:
Years 12 and 13
Pupils should be taught to know and use the definition of logax as the inverse of ax, where a is positive, not equal to 1 and x ≥ 0.Know and use the function ln x and its graph. Know and use ln x as the inverse function of ex more...
Pupils should be taught to understand and use the laws of logarithms:
Pupils should be taught to Solve equations of the form ax = b more...
Pupils should be taught to use logarithmic graphs to estimate parameters in relationships of the form y = axn and y = kbx, given data for x and y more...
Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:
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"This is a great memory aid which could be used for formulae or key facts etc - in any subject area. The PICTURE is such an aid to remembering where each number or group of numbers is - my pupils love it!
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"Love using the Starter of the Day activities to get the students into Maths mode at the beginning of a lesson. Lots of interesting discussions and questions have arisen out of the activities.
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"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."
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Comment recorded on the 19 November 'Starter of the Day' page by Lesley Sewell, Ysgol Aberconwy, Wales:
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Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:
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Comment recorded on the 16 March 'Starter of the Day' page by Mrs A Milton, Ysgol Ardudwy:
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Comment recorded on the 7 December 'Starter of the Day' page by Cathryn Aldridge, Pells Primary:
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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.
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.
Alternatively, for the more advanced student, there is an ever-growing collection of Exam-Style Questions with worked solutions on the topic of Logarithms.
Log Tables: Logarithms and log tables - what Transum used before calculators! A Numberphile video.
Logarithms Introduction: A basic introduction to the concept of logarithms from the Khan Academy
Logarithms External Links:
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