Mates y TIC - Maths and ICT

Actividades de Matemáticas con TIC - Math Activities with ICT - - - (matesytic@gmail.com) Ricardo García Mesa

Line. slope, y-intercept, cockroaches…

Posted by ricardogm on February 12th, 2019

Hi

1. In order to better fight cockroaches, we are going to usee a Geogebra file, and I hope that this way you are going to visualize the slope and the y-intercept of a line really fast. It’s going to be something like that:

With this information, we can hopefully kill more cockroaches:
Algebra vs cockroaches.

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Flatland

Posted by ricardogm on February 11th, 2019

Hi

It’s time to discover this classic:

(Extract from Wikipedia):  “Flatland: A Romance of Many Dimensions is a satirical novella by the English schoolmaster Edwin Abbott Abbott, first published in 1884 by Seeley & Co. of London. Written pseudonymously by “A Square”,[1] the book used the fictional two-dimensional world of Flatland to comment on the hierarchy of Victorian culture, but the novella’s more enduring contribution is its examination of dimensions.[2]

Book (pdf format)

Another version.

And the movie:

You can get it as a free ebook.

Y una versión en castellano: Planilandia.

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Lines

Posted by ricardogm on February 7th, 2019

Hi

0. First thing, use geogebra to correct some of the exercises from wednesday. Pay attention

17. Now we are going to  create something like this:

Send the file to me, as usual.

145. A game to practice the explicit equation (or slope-intercept) of a line. Read the instructions carefully. The aim is to kill the cockroaches with lines.

(NOTE: it’s an old game in flash, you must allow flash in the page, and maybe it will work easily in Chrome than in Firefox)

Algebra vs cockroaches

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Moving Homer with vectors

Posted by ricardogm on January 31st, 2019

Hi

We are going to use vectors to create animations, similar to this applet:

Pay attention and send me the files, as usual.

The math thing we are going to use is “linear combinations of vectors“, which is simply a·u+b·v, being  u and v vectors and a and b, numbers.

1. First, an easier construction. We are going to generate something similar to this:

2. Now, the Homer thing. It’s more difficult, so you have to pay even more attention than usual Wink.

The images you need are in this folder:

Images

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Problemas de optimización resueltos

Posted by ricardogm on January 29th, 2019

Pues eso:

Problemas

Pasos para la resolución de problemas de optimización:

1  Se plantea la función que hay que maximizar o minimizar.

2  Se plantea una ecuación que relacione las distintas variables del problema, en el caso de que haya más de una variable.

3  Se despeja una variable de la ecuación y se sustituye en la función de modo que nos quede una sola variable.

4  Se deriva la función y se iguala a cero, para hallar los máximos-mínimos locales.

5  Se realiza la 2ª derivada para comprobar el resultado obtenido o, alternativamente, se comprueba el valor de la función en los máximos-mínimos y en los extremos de su dominio.

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Vectors

Posted by ricardogm on January 28th, 2019

Basic things:

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Trigonometric ratios in every quadrant

Posted by ricardogm on January 28th, 2019

Hi

We have seen this thing before:

Now we are going to work with it a little more. Go to this page.

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Trigonometric identities and homer measuring trees

Posted by ricardogm on January 21st, 2019

 Hi

We are going to prove these two famous trigonometic identities:

sin2(x) + cos2(x) = 1

tan(x)=cos(x)/sin(x)

that can be seen in this applet:​

And how to measure trees with trigonometry (we are going to do more or less the same thing):

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Goniometric circumference

Posted by ricardogm on January 18th, 2019

 

Hi

Today we are going to create something similar to this:

The idea is to study the trigonometric ratios of angles greater than 90º.

Pay attention. Send me the file.

Now time to solve some problems in your notebook:

trigonometry-word-problems.pdf

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Soluciones temas 13 y 14

Posted by ricardogm on January 18th, 2019

 

Pues eso:

Tema 13

Tema 14

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