Mates y TIC - Maths and ICT

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

Let’s finish this

Posted by ricardogm on June 13th, 2019

Like Frank Sinatra said:

“And now, the end is near…”

But…

Not today, but…

Just in case, a final song

And some games to try, while I show you your exams and tell you who has to repeat some of them:

Cards sharks

 Set Game

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Probability: tree diagrams and contingency tables

Posted by ricardogm on June 6th, 2019

 

Theory:

1) Independent events

2) Dependent events (conditional probability)

Tree diagrams with independent events:

And with no independent events.

A video about contingency tables:

Some examples about these tables (also known as two-way tables).

And some solved problems.

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Probability with cards

Posted by ricardogm on June 6th, 2019

This is an spanish deck, for those who don´t know.

Some examples with the poker deck.

A video about probability with cards:

Another video about combinatorics:

And the spanish version:

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Probability I: introductory videos

Posted by ricardogm on June 2nd, 2019

 

Hi

Los Pelayos 

Starting the amazing topic of probability.

Some videos to start with:

The basic vocabulary:

And the basic calculations:

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Combinatorics

Posted by ricardogm on May 28th, 2019

 

Hi

1. Two possibilities for today:

a) Use this hour for the project.

b) Solve combinatorics problems, below.

Here you are:

Permutations and combinations

Same thing in spanish

A brief version.

Another

And some examples.

And a calculator

Factorial calculator.

Some simple problems to practice:

6. How many ways can you arrange the letters from the word CODES?
7. At Scrabble you have the letters XZJYPVK. How many 3 letter arrangements can be
made from them?
8. At travelling sales man must visit 15 towns. In how many different ways can he plan his
journey?
9. How many numbers between 100 and 1000 use only odd digits, no digit being repeated?
10. In Mastermind a code is picked using 4 out of 6 colours. How many codes are possible, if
no colour can be used twice?
11. There are 14 horses in a race. In how many ways can the first 3 places be filled?
12. A class contains 25 pupils. In how many ways can prizes be awarded in Latin, French and
Mathematics, if no pupil can win more than one prize?
13. In how many ways can eight books be arranged along a shelf?
14. At Scrabble the letters QWYPKGDZXBM are left in the bag. In how many ways can you
draw out four of them?
15. You are given 12 points on a plane, no three of them being in a straight line. How many
triangles can be drawn using the points as vertices?
16.You are given 9 points on a circle. How many chords do they form?
17. You have 10 blue flowers are 5 b red flowers. In how many ways can they be planted in a
row, if we do not distinguish between flowers of the same colour?
18. The travelling salesman of Question 8 decides to visit only 5 towns. In how many ways
can his selection be made? How many possible journeys does he have now?
19. In Bridge each player receives 13 out of the 52 cards. How many possible Bridge hands
are there?
20. A coin is tossed 10 times, and heads comes up 4 times. In how many ways can this have
happened?
21. You win a tennis set 6-4. How many ways can this have happened?

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Two variables statistics theory

Posted by ricardogm on May 21st, 2019

Hi

1. Today we are going to practice a little bit with geogebra and Powerpoint, hoping that it will be useful for your projects. Pay attention

a) These are the exercises we are going to work out with Geogebra: some exercises.

b) This is a real example of the statistics project:

trabajo-estadistica.pdf

c) I repeat here the structure of the project. It will be a Word document, or Powerpoint,  with, at least, these parts:

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.

d) Remember, we are going to study the relationship between two variables, posibly with a survey. You need at least 30 data points. Less than that, it’s anecdotal.

2. The theory is here:

Here you are.

3. And some guide to interpret the values of r:

(Extract from Malawi Medical Journal:

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3576830/)

table.PNG

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Two dimensional statistics

Posted by ricardogm on May 20th, 2019

Hi

A site with the basics of this topic

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Statistic project

Posted by ricardogm on May 17th, 2019

1. First of all, we are going to organize the teams for the statistic project. Tell me the members of each team and a name for it.

2. Now a little information about the project. It will be a Word document, or Powerpoint,  with, at least, this structure:

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.

3. Remember, we are going to study the relationship between two variables, posibly with a survey. You need al least 30 data points. Less than that, it’s anecdotal.

4. And we are going to learn to use geogebra in statistics, today with one variable, next friday with two. Pay attention

Ex.1 isolated data:

The number of occupants in passing cars are counted. The results are:

1 2 1 4 3 1 2 1 5 4
1 1 1 2 1 3 1 4 1 1
1 2 1 1 1 2 1 1 4 2
2 2 1 2 1 3 2 1 2 1

Ex. 2

A class of 40 students took a mock exam in maths. They were given percentage marks as follows:

73, 45, 62, 34, 59, 20, 48, 50, 78, 38, 52, 91, 57, 82, 46, 51, 62, 58, 39, 50, 72, 73, 63, 52, 41, 37, 28, 46, 71, 75, 36, 28, 44, 90, 51, 28, 60, 18, 47, 40.

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

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Perpendicular común a rectas que se cruzan

Posted by ricardogm on May 1st, 2019

 

Muy buenas

Adjunto aquí un ejercicio de este tipo resuelto de tres maneras distintas.

Y un par de videos sobre el tema (usan el método que prefiero):

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Statistics 1

Posted by ricardogm on April 8th, 2019

Hi

Time to start a new unit, statistics.

1.Read the following pdf and write in your notebook the basic vocabulary of this unit (the words are marked in blue). Use your book to find out the equivalences in spanish. In short, make a glossary.

Statistics unit 12.

2. Now solve in your notebook as many exercises of the unit as you can.

3. And some information about surveys:

How to do a survey.

4. A video is a must:

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