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 1 May 'Starter of the Day' page by Phil Anthony, Head of Maths, Stourport High School:
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Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:
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"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"
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Comment recorded on the 23 September 'Starter of the Day' page by Judy, Chatsmore CHS:
"This triangle starter is excellent. I have used it with all of my ks3 and ks4 classes and they are all totally focused when counting the triangles."
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Comment recorded on the 14 September 'Starter of the Day' page by Trish Bailey, Kingstone School:
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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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