C3 Exponentials and Logarithms - Revision history

KPA: /* Supporting activities */

2014-07-11T08:38:28Z

‎Supporting activities

2013-09-13T08:58:47Z

‎Use Excel to find e by trial-and-improvement

2013-09-13T08:58:08Z

‎Supporting activities

2013-09-13T08:50:42Z

‎Objectives

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 === Use Excel to find <math>e</math> by trial-and-improvement ===
 Students attempt to differentiate <math>2^x</math> from first principles. They find that the derivative is <math>lim_{h\rightarrow 0}2^x\frac{2^h-1}{h}</math>. They can set up a spreadsheet to investigate the behaviour of <math>\frac{2^h-1}{h}</math> for small <math>h</math>. Now try for <math>3^x</math>. What do you notice?
 == Consolidation ==

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 === Use Excel to find <math>e</math> by trial-and-improvement ===
-Students attempt to differentiate <math>2^x</math> from first principles. They find that the derivative is <math>lim_{h\rarrow 0}2^x\frac{2^h-1}{h}</math>. They can set up a spreadsheet to investigate the behaviour of <math>\frac{2^h-1}{h}</math> for small <math>h</math>. Now try for <math>3^x</math>. What do you notice?
+Students attempt to differentiate <math>2^x</math> from first principles. They find that the derivative is <math>lim_{h\rightarrow 0}2^x\frac{2^h-1}{h}</math>. They can set up a spreadsheet to investigate the behaviour of <math>\frac{2^h-1}{h}</math> for small <math>h</math>. Now try for <math>3^x</math>. What do you notice?
 == Consolidation ==

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 == Preparation ==
 == Supporting activities ==
 == Consolidation ==
 == Homework ==

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 == Objectives ==
 <onlyinclude>
-*The function <math>\e^x</math> and its graph
+*The function <math>e^x</math> and its graph
-*<math>\ln{x}</math> as the inverse function of <math>\e^x</math>
+*<math>\ln{x}</math> as the inverse function of <math>e^x</math>
 *The function <math>\ln{x}</math> and its graph
 </onlyinclude>
 == Preparation ==
 == Supporting activities ==