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Introduction to standard index form/Teacher Notes: Difference between revisions

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This page is also available as a .doc download [[file:introduction to standard index form - teacher notes.doc]]
This page is also available as a .doc download [[file:introduction to standard index form - teacher notes.doc]]
It refers to a number of resources, which are available (and linked below)
It refers to a number of resources, which are available (and linked below)
* resource1
* [[file:standard index form.ppt]] - which includes opportunities for {{tag|questioning}} and guides the lesson
* resource2
* [[file:solar system data.xls]] - which provides an opportunity for some more in depth thinking


'''<center>Introduction to Standard Index Form – Mark Dawes</center>'''
'''<center>Introduction to Standard Index Form – Mark Dawes</center>'''
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'''The lesson'''
'''The lesson'''


Display the first slide and ask the pupils what each of the sets of numbers have in common.
Display the first slide from [[file:standard index form.ppt]] and ask the pupils what each of the sets of numbers have in common.


The first set all have 1 significant figure, the second have 2 sig figs, etc. The pupils are likely to find this difficult.
The first set all have 1 significant figure, the second have 2 sig figs, etc. The pupils are likely to find this difficult.
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I usually return to the calculators in a subsequent lesson to deal with numbers that are less than 1.
I usually return to the calculators in a subsequent lesson to deal with numbers that are less than 1.


The worksheet of solar system data allows the pupils to write some numbers in standard index form, to do some conversions and to see the point of using standard index form.  
The excel worksheet of solar system data ([[file:solar system data.xls]] allows the pupils to write some numbers in standard index form, to do some conversions and to see the point of using standard index form.  


The worksheet has some other interesting features for the pupils to discover/wonder about. For example, Pluto is included even though it is no longer regarded as a planet (by definition it is now a ‘Plutoid’). The distances of the objects from the sun are averages: why? <nowiki>[They do not have circular orbits – which is a common misconception.] </nowiki>The moon does not have a distance given – because its average distance from the sun is the same as that of the earth (why?). There is only one rational number that cannot be written in standard index form – that is zero (why?).
The worksheet has some other interesting features for the pupils to discover/wonder about. For example, Pluto is included even though it is no longer regarded as a planet (by definition it is now a ‘Plutoid’). The distances of the objects from the sun are averages: why? <nowiki>[They do not have circular orbits – which is a common misconception.] </nowiki>The moon does not have a distance given – because its average distance from the sun is the same as that of the earth (why?). There is only one rational number that cannot be written in standard index form – that is zero (why?).


There is then a definition to show the pupils at the end of the lesson.
There is then a definition to show the pupils at the end of the lesson (final slide).


* <nowiki>Graphical Calculator Investigative Introduction [OHT] </nowiki>Working in pairs (with one calculator or two), turn on, press mode (top left), the right arrow (so that sci is flashing) and enter, followed by quit (press 2nd and then mode). The calculator will now change all numbers into standard form (using 4E7 notation to stand for 4 x 10<sup>7</sup> ).
* <nowiki>Graphical Calculator Investigative Introduction [OHT] </nowiki>Working in pairs (with one calculator or two), turn on, press mode (top left), the right arrow (so that sci is flashing) and enter, followed by quit (press 2nd and then mode). The calculator will now change all numbers into standard form (using 4E7 notation to stand for 4 x 10<sup>7</sup> ).