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Archive for the '4º ESO'

Projects and review

Posted by ricardogm on 7th June 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 4th June 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 3rd June 2018

 Some videos to start with:

The basic vocabulary:

And the basic calculations:

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Probability I

Posted by ricardogm on 1st June 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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Practicing for your project

Posted by ricardogm on 24th May 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 21st May 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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Bidimensional statistics study, correlation, etc.

Posted by ricardogm on 17th May 2018


Today you are going to decide the topic for your statistic study. It has to have two variables, and the goal is to check if there’s any correlation between the two characteristics. So have a meeting with your team partners and choose the idea for your study. The minimum requirements for the survey are:

Two variables (quantitative, of course).

  • Minimum number of data for the survey: 30 individuals. 
  • The study should be something about La Luz or Avilés, or our school.
  •  Nobody (people, animals or plants) should be harmed or offended in the making of this study.
  • The study should be written in a powerpoint or word file.
  • It has to have graphs and calculations.(You can use Geogebra for that)
  • It must have:
    • A frontpage with your names and the title.
    • An introduction explaining the goal of the study.
    • All the data in one or several tables.
    • Graphs and images.
    • Calculations.
    • Conclusion.
  • The deadline for all this is june the 4th.

I don’t mind if the variables you choose are funny or absurd, as long as they don’t offend anyone. In fact, a bit of fun is something to be thankfull. Think about it and send me a mail with your ideas.

As an example, I’m showing you how to use geogebra to work with two statistical variables, using examples of your book. Pay attention.


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Pruebas liberadas de 4º ESO Matemáticas (Ev. diagnóstico)

Posted by ricardogm on 15th May 2018

Pues eso

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Statistics with Excel and Geogebra

Posted by ricardogm on 3rd May 2018


0. First things first:

3. We are going to learn to use excel and geogebra in our statistical studies. I’m going to give you some instructions (copy them in your notebook) and some exercises to solve (from your textbook). Pay attention. Please send me an excel document and a geogebra file at the end of the class.

Appendix: some useful links:

1. estadistica-excel.pdf (This is a tutorial)

The histograms in excel are poorly implemented, in my opinion. Geogebra does a much better work. Follow the instructions in this example:

2. Histograms with Geogebra

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Math poems

Posted by ricardogm on 23rd April 2018

Sole Soul



thought we

were one, that

you were my soul mate

until I realized that our

joint passion for a specific salt water flatfish

cooked in meuniere sauce was not sufficient to maintain a long lasting relationship

Copyright © D.W. Rodgers | Year Posted 2018

Why is the poem above a math poem? It’s a difficult question…

Zero, the hero

Put one, before, nine numbers of zero,

and take one off, have nine numbers of nine.

Grows a number ten times, zero, the hero.

Put one, before, nine numbers of zero.

Centre of integers, is the number zero,

to the left and right, may go endless, fine.

Put one, before nine numbers of zero

and take one off, have nine numbers of nine.


Zero and one make the computer byte.

Zero is the dark and one is bright.

That is what the cycle of day night,

Zero and one make the computer byte.

From the zero and one, gets its life,

on binary system, computer does thrive.

Zero and one make the computer byte.

Zero is the dark and one is bright.

1000000000-1 = 999999999

Copyright © S.D. Tiwari | Year Posted 2017

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