Mates y TIC - Maths and ICT

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

Archive for the '4º ESO'

Exam review

Posted by ricardogm on 22nd October 2018

 First exam

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Alternative math (video)

Posted by ricardogm on 10th October 2018

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Back to the roots

Posted by ricardogm on 4th October 2018

Hi

0. First thing to do, a little bit of mental calculation: “10 seconds of math”, five minutes, but this time click squares and roots as well.

2. We are going to insist in the rationalizations of fractions. Go to this page and try to understand the two (some say three) different cases. Solve the questions at the end (only 1, 2 and 3).

4. Use Symbolab to correct your homework.

6. And some exercises. Rationalize these expressions in your notebook:

Radical Exercise

Radical Exercise

Radical Exercise

Radical Exercise

8. Now open your books, page 29, and solve in your notebook exercises 15, 17, 18, 19, 20 and 21.

10. This is the video we saw in the classroom. You can take a look at it and try to understand as much as possible.


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Powers and roots (radicals)

Posted by ricardogm on 27th September 2018

Howdy!

0. First thing to do: a little history project. Search in the internet to find when and by whom the different sets of numbers were “discovered”. Write the information in a word document and send it to me via email. You have 20 minutes for this task.

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

2. Same thing with fractional exponents.

3. Well, it’s time for a new thing, and a bit difficult. We are going to learn to rationalize a fraction. Go to this page and try to understand the two (some say three) different cases. Copy in your notebook the theory and try to solve the questions.

5. More rationalizing.


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Posted by ricardogm on 20th September 2018

Hi

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 19th September 2018

Hi

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 7th June 2018

Hi

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

Projects

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:

Review

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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

Hi

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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