ADL SCORM
2004 3rd Edition
Plataforma Agrega
ODE-2cbe95fc-6cb2-3bf8-920a-3936ae165533
meducacion_agrega
100_20100613_000_0788_0000
Catálogo unificado mec-red.es-ccaa de identificación de ODE
es_2010072163_9170959
Exponential equations and logarithms
en
Exponential and logarithmic functions are the most common types of functions which exist in the world around us. As a result there are many problems which may require the use of exponential or logarithmic equations in order to solve them. One example of this is the Richter scale, which measures the magnitude M of an earthquake according to the amplitude of its surface waves A Hence: M=log A+C where C =3.3+1.66 logD-logT is a constant which depends on the period of time that the waves are registered on the seismograph T and the distance from the epicenter in angular degrees D. If we want to calculate the amplitude (intensity) of the seismic wave we would need to solve a logarithmic equation. We would also need to solve equations if we wanted to find the necessary time in hours (t) for the amount of bacteria Escherichia coli, found in the intestinal tract of many mammals, to reach a certain number. (P=P0.2t/D where P= 8000 bacteria, P0 =500 D=30). In the same way, if we wanted to work out the age of a bone found at an archaeological dig, and we knew that it contained 20% of carbon 14, which is present in all animal life, we would need to solve the equation: 0.2=e-0.000121t .
exponential equations
Logarithms
Simultaneous equations
universal
LOM-ESv1.0
linear
LOM-ESv1.0
3
v1.0
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final
LOM-ESv1.0
publisher
BEGIN:VCARD VERSION:3.0 FN: acabezudo EMAIL;TYPE=INTERNET: ORG: Plataforma Agrega
2010-07-21T17:09:59.944Z
Fecha de publicación en Agrega
LOM-ESv1.0
author
BEGIN:VCARD VERSION:3.0 FN:Leoncio Santos Cuervo EMAIL;TYPE=INTERNET:administrador.agrega@ite.educacion.es ORG:Ministerio de Educación Instituto de Tecnologías Educativas (ITE) END:VCARD
2002-09-24
Publication date on the Descartes Web Project Site http://recursostic.educacion.es/descartes/web
LOM-ESv1.0
publisher
BEGIN:VCARD VERSION:3.0 FN:Instituto de Tecnologías Educativas (ITE) EMAIL;TYPE=INTERNET:administrador.agrega@ite.educacion.es ORG:Ministerio de Educación END:VCARD
2010-07-21
Publication date on Agrega
LOM-ESv1.0
editor
BEGIN:VCARD VERSION:3.0 FN:Instituto de Tecnologías Educativas (ITE) EMAIL;TYPE=INTERNET:administrador.agrega@ite.educacion.es ORG:Ministerio de Educación END:VCARD
2010-06-14
Creation date on Agrega
LOM-ESv1.0
technical validator
BEGIN:VCARD VERSION:3.0 FN:Mª Ana López Montes EMAIL;TYPE=INTERNET:administrador.agrega@ite.educacion.es ORG:Ministerio de Educación Instituto de Tecnologías Educativas (ITE) END:VCARD
2010-06-12
Review date of ODE/ Educational Resource
Plataforma Agrega
ODE-2cbe95fc-6cb2-3bf8-920a-3936ae165533-meta
meducacion_agrega
100_20100613_000_0788_0000-meta
LOM-ESv1.0
creator
BEGIN:VCARD VERSION:3.0 FN:Mª Ana López Montes EMAIL;TYPE=INTERNET:administrador.agrega@ite.educacion.es ORG:Ministerio de Educación Instituto de Tecnologías Educativas (ITE) END:VCARD
2010-06-13
Creation date of metadata
LOM-ESv1.0
validator
BEGIN:VCARD VERSION:3.0 FN:Ángel Cabezudo Bueno EMAIL;TYPE=INTERNET:administrador.agrega@ite.educacion.es ORG:Ministerio de Educación Instituto de Tecnologías Educativas (ITE) END:VCARD
2010-07-21
Validation date of metadata
LOM-ESv1.0
en
text/html
image/gif
http://agrega.educacion.es/ODE/en/es_2010072163_9170959
LOM-ESv1.0
browser
LOM-ESv1.0
any
LOM-ESv1.0
operating system
LOM-ESv1.0
multi-os
Installation is not required
Install and enable the Java interpreter and Plug-in of the Applet Descartes on local
LOM-ESv1.0
mixed
LOM-ESv1.0
real or virtual learning environment
LOM-ESv1.0
low
LOM-ESv1.0
medium
LOM-ESv1.0
learner
LOM-ESv1.0
schoolmate
16 years
LOM-ESv1.0
medium
PT4H10M
5 teaching units
PRIOR KNOWLEDGEThe contents are explained in this course
LEARNING OBJECTIVESTo distinguish between and solve individual and simultaneous exponential equations. To identify the decimal solutions of exponential equations with logarithms. To distinguish between and solve individual and simultaneous logarithmic equations. To understand how exponential and logarithmic equations relate to each other.
KNOWLEDGE TYPE: procedural
en
LOM-ESv1.0
observe
LOM-ESv1.0
practise
LOM-ESv1.0
solve
LOM-ESv1.0
no
LOM-ESv1.0
creative commons: attribution - non commercial - share alike
The use of the following contents is universal, free of charge and open, provided that it is for non-commercial educative use. The actions, products and utilities derived from its use may therefore not generate any profit. Moreover, a reference to the source is required.
LOM-ESv1.0
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es_cnice_20080623,es_{nodo}_20080923,es_clm_20091103121523455,es_murcia_20080422121523455,es_valencia_20081215,es_contenidos_20080623,es_castillayleon_201002241811,es_baleares_200907131205,es_canarias_20090114,es_aragon_20080930,es_larioja_20081107,es_cantabria_20081215,es_euskadi_20100423,es_extremadura_20090126,es_navarra_20090202,es_andalucia_20090324
LOM-ESv1.0
discipline
Árbol curricular LOE 2006
4
High Secundar Education (Bachillerato)
4.2
Specific subjects
4.2.37
Applied Mathematics to Social Sciences I
4.2.37.1
Arithmetic and algebra
Tabla de contenidos
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Exponential equations and logarithms