Mates y TIC - Maths and ICT

Actividades de Matemáticas con TIC - Math Activities with ICT - - - ( Ricardo García Mesa

Posted by ricardogm on September 20th, 2018


First day in the computers room:

0. We are going to meet some new tools today (Symbolab, Geogebra, 10 seconds…), to use during the course.

1. First thing, 5 minutes of mental calculations. Use “10 seconds of math” for this purpouse.

2. Try to find out in the internet the name of the man who proved the existence of irrational numbers. Send me an email with this story (my mail is up there ↑ ). Use the email that you are going to use for all the year. You will have to send me lots of work in the following months.

3. Read this page about intervals. Solve the questions at the end of the page.

4. Solve some exercises (2, 3, 10 and 11) about rational numbers. Do it in your notebook and correct them with Symbolab.

5. Some reading about roots. Solve the exercises of the end of the page in your notebook.

6. Same thing with fractional exponents.

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Sets of numbers

Posted by ricardogm on September 19th, 2018


Let’s start with a little history:

A little video about sets of numbers. We are going to listen to a part of it, and take notes.

Now another one about intervals:

For you curiosity, here are the first 1000000 decimals of pi

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Projects and review

Posted by ricardogm on June 7th, 2018


1. You can take a look at your projects in this link below:


Take a look and send me a mail with your marks for all of them, yours included.

2. And start your very late review for the last exam:


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Probability III: The monty Hall problem

Posted by ricardogm on June 4th, 2018

Hi let’s start with a video from the movie “21 Black Jack” about what it’s known as the Monty Hall Problem:

And another more thoroughly explanation:

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Probability II: videos

Posted by ricardogm on June 3rd, 2018

 Some videos to start with:

The basic vocabulary:

And the basic calculations:

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Probability I

Posted by ricardogm on June 1st, 2018


0. First of all, I need two volunteers for the “PASAPALABRA” thing.

0 bis.You can use this class to finish the ststistic study, but if you finish, go to next point:

1. Today we are going to learn the basic vocabulary of probability. (NOTE: you will need the last part of the book for the rest of the course, bring it tomorrow)

1. Go to this page and try to find all the most important concepts. Write them in a glossary, with their spanish equivalence.

For example:>> Sample space=Espacio muestral

2. There are more of these words in this page. You can find the spanish equivalences in this page.

3. Send me this glossary.

4. Now solve these questions. Use your notebook. The key to solve most of them is Laplace’s rule.

5. Now some problems. Solve them in a word document. Send me the file, of course.

- A box has 8 red balls, 5 yellow and 7 green. If a ball is extracted at random, calculate the probability that it will be:

  • Red.
  • Green.
  • Yellow.
  • Not red.
  • Not yellow.

-A ball is drawn from a box containing 4 red balls, 5 blue and 6 green. What is the probability that the ball will be red or white? What is the probability that it is blue? If you take out another ball, what are the chances of being red?

-In a class there are 10 blonde girls, 20 brunette girls, 5 blonde boys and 10 brown-haired boys. If all 45 students attend class on a particular day, find the probability that a student selected at random will be:

  • A boy.
  • A brunette girl.
  • A boy or girl.
  • If the student is a boy, find the probability that he’s blonde.
  • If the student is brown-haired, find the probability that she’s a girl.

-A die is rigged so that the probabilities of obtaining the different faces are proportional to the numbers on the faces (For example: A five is five times more likely to be rolled than a one). Find:

  • The probability of obtaining a 6.
  • The probability of obtaining an odd number.

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Funciones racionales y asíntotas

Posted by ricardogm on May 30th, 2018

Muy buenas

Aquí tenéis una herramienta para ayudaros en esta parte del temario:

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Representación de funciones

Posted by ricardogm on May 27th, 2018

Muy buenas

Hoy trabajaremos con geogebra algunos ejemplos de funciones de las que vamos a intentar bosquejar su representación.

Os pongo las herramientas principales que podemos usar:

- Los puntos de corte con el eje x: son las soluciones de f(x)=0, y si se pueden encontrar ayudan bastante a representar la función correctamente.

- Los máximos o mínimos relativos, que también son las soluciones de una ecuación: f’(x)=0.

- Las asíntotas verticales, que aparecen en los puntos en los que la función no existe, para las funciones racionales.

- Las asíntotas horizontales, que aparecen en esas mismas funciones si el grado del numerador es igual o menor que el del denominador.

- Las asíntotas oblícuas, que se dan si el grado del numerador es exactamente uno más que el del denominador.

- Las ramas infinitas, que es simplemente cómo se comporta la función hacia infinito o menos infinito.

Un resumen más completo de la teoría lo tenéis aquí.

Y algunos ejemplos para intentar:

1Dominio, simetr�a y puntos de corte

2dominio, simetr�a y puntos de corte

3Dominio, simetr�a y puntos de corte

4Dominio, simetr�a y puntos de corte

5Dominio, simetr�a y puntos de corte

6Dominio, simetr�a y puntos de corte

7 Dominio, simetr�a y puntos de corte

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Practicing for your project

Posted by ricardogm on May 24th, 2018


1. First of all, you are going to correct exercise 2 from the worksheet using geogebra. Send me the file.

2. Now we are going to practice a little about our statistics project. Use the last two problems from the worksheet as examples, and the goal is to use them the same way you are going to treat your data. For each example you should send me a Word document, or Powerpoint, but with the same structure as the final project. At the very least it should have:

1. Frontpage with your names and the title of the project.

2. Introduction (in another page). Explaining the goal of the project, what you want to know, how you got the data, etc.

3. Another page with the data, in table form.

4. Another page with graphics.

5. One more with all the calculations.

6. And one with the final conclusions.

As a bonus, this image links to some examples of terrible powerpoint design:

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Two variables statistics theory

Posted by ricardogm on May 21st, 2018

Here you are.

And some guide to interpret the values of r:

(Extract from Malawi Medical Journal:


Another version here.

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