We are IESO Elortzibar's Bilingual Programme students of the first course of ESO.
Althoug Maths is our main topic, almost anything interesting fits in Frikimaths: sience, music, movies...
Those of you who haven't achieved the results you were expecting, follow the example of one of the herous from my childhood whose neverending quest led us all through hours of amusement:
I'm so sorry for the delay, but last friday my laptop gave up the will to live.... This entry is been written using a 10-year old laptop... Imagine how long does it take to write a single sentence!! XD
These are the grades you have obtained in this week's exam:
A01
6,7
BC01
9,8
A02
8,5
BC02
9,1
A03
8,3
BC03
8,3
A04
6,5
BC04
8,6
A05
5,4
BC05
8,5
A06
8,7
BC06
8,1
A07
7
BC07
3,9
A08
4,3
BC08
7,7
A09
4,2
BC09
8,1
A10
5,6
BC10
7
A11
6,4
BC11
7,1
A12
7,3
BC12
8,3
A13
9,5
BC13
6
A14
5,1
BC14
9
A15
7,1
BC15
6,5
A16
9,3
BC16
6,1
A17
7,6
BC17
8,2
A18
6,8
BC18
9,4
A19
6,6
BC19
9,4
A20
5,4
BC20
5,7
A21
1,7
BC21
8,4
A22
6,1
BC22
6,9
Alba has granted herself a new possitive thanks to the solution of last week's challenge!!
Here you have a new one:
The Gallons’ Problem
Imagine the following situation: a bomb is set in Taconera’s Park and you are the only on capable of dismantling it. Spanish CSI Special AgentEuler Piruleta requires your services and you find yourself before this bomb…
Only 4 minutes are left before the bomb explodes and the only way of stopping it is placing a bottle filed with 4 gallons of water in a balance. You have a 3-gallon and a 5-gallon bottle and a fountain with a continuous stream of water…
How can you get those 4 gallons inside one bottle using the 3-gallon and 5-gallon bottles?
Remember: our future depends on you!!! :D
Dedline: November the 4th! Do not forget to post a comment if you discover the solution ^_^
As I promised, you can download here the solutions of the exercise 34 and exercise 40. I'm sorry for the delay, but my scanner had given up the will to live :P
Hi class! DJ Santonio has created a new remix called: "Welcome to Saint Tropez & Take Over Control"
All person I have sent loves it! It´s an incredible video! Don´t forget to watch it! Ruben Medina and Sergio Pérez de Albéniz have colaborated! Thanks!
How are you doing? I've only received 3 answer to last week's challenge. I've noticed that more ore less you know what the solution has to do with, but they're a little bit inaccurate.. Anyway, since you've come quite close, Alba, Patricia and Bea have won a Challenge's Possitive ^_^
The solution is quite simple:
- If $1<a$, then it holds that $\sqrt{a} <a$
- If $0 < a <1$, then it is true that $\sqrt{a} >a$
- As Patricia correctly stressed, we have two special cases: $\sqrt{1}=1$ and $\sqrt{0})=0$.
You can try with your calculator to check the answers ^_^
Power and Radicals Exam Results
A01
6,2
BC01
9,6
A02
8,5
BC02
9,3
A03
9,8
BC03
9,1
A04
4,8
BC04
9,4
A05
7,6
BC05
8,7
A06
6,9
BC06
7,8
A07
5,9
BC07
6,1
A08
5,4
BC08
5,6
A09
4,3
BC09
6,1
A10
6,5
BC10
4,3
A11
7,1
BC11
7,5
A12
5,9
BC12
5,9
A13
8,9
BC13
6,9
A14
7,7
BC14
9,2
A15
4,3
BC15
3,7
A16
9,7
BC16
4,1
A17
6,9
BC17
7,9
A18
8,3
BC18
8,4
A19
6,1
BC19
9,3
A20
5,5
BC20
7,6
A21
3,8
BC21
5,9
A22
5,4
BC22
8,7
Mostly, those of you who worked every day and focused in every lesson have achieved a good great (despite some silly mistakes which you should take care of)
Second Challenge: Romeo and Juliet These two snails
are Romeo and Juliet. Juliet has been waiting in her balcony for her lover‘s arrival,
but Romeo has just had dinner and he has truly forgotten the number of Juliet’s
house. Every square represents one house (64 in all, including Romeo’s and Juliet’s) and
the passionate lover will visit every single house one time and one time
only before reaching to Juliet. You must try to
help him to find his way but be careful… he is only allowed to move upwards, downwards, to the left,
to the right and diagonally.
One more thing: You are only entitled to use up to 20 straight
lines… it seems our little fellow is not keen at all about turning on corners…
The procedure is the same as always: send me an e-mail with the solution and post a comment to this entry. This challenge's deadline is October the 19th. Ony the first 10 valid solutions will get a positive!! Don't miss the chance!
Tip: The best way to try to solve this is copying the image to gimp, paint or a similar software and draw the lines over it.
By the way, in two weeks time, Keane will be playing alive in Pamplona. I had the chance to attend one of their performances eight years ago, and they sound quite impressive alive ;)
The first challenge it is quite simple: Try to explain the following situations:
- What values of $a$ would make the expression $\sqrt{a} < a$ be true?
- What values of $a$ would make the expression $\sqrt{a} > a$ be true?
You must follow the usual instructions: once you know the solution, post a comment and send the answer to my gmail account which you should remember...
And do not worry about the Radicals! In October an old friend of yours will be baaaack!! :D
Albert Einstein was the one who proved that time itself does not always pass in the same way (“time is relative, you know”), and he came
up with a little problem so ordinary people could understand his postulation:
Some astronauts that were travelling through the space in a futuristic vessel,
managed to reach a speed close to The
Speed of The Light. These astronauts
would not become older as fast as their fellows on Earth.
If A stands for their age when they started their journey, t
stands for the time and Av for the astronauts’ age at any time;
we have the following expression (which is nothing but an affine function)
Av = 0,3t + A
Imagine that one of them left in the year 2000 being 20 years old…
a) Get his
real age measured using Earth’s Timeline in
both the years 2010 and 2020.
b) When
will he become a 25-years-old person?
c) If his
son was born the on the same day as he enrolled in this mission, how old will
this child be when his father gets to his 30s?
Hey guys! I'm posting here the results... You may won't beleive this, but you have taken 7 exams so far and this one is not the best in what concerns to the results, but the second :DD
¡¡CONGRATULATIONS!!
AB01
6,1
AB02
4,9
AB03
9,1
AB04
8,8
AB05
8,8
AB06
8,1
AB07
9,6
AB08
10,1
AB09
9,7
AB10
6,2
AB11
6
AB12
8,6
AB13
7,4
AB14
9,8
AB15
3,2
AB16
7,5
AB17
9,2
AB18
6,7
AB19
8,1
AB20
9,3
AB21
3,3
AB22
5,7
AB23
6,4
AB24
10,3
AB25
8,6
A friend of mine has sent me this hilarious picture... do you identify yourselves with any of the situations described?? :P hahaha
I would really like to own a dog like this lovely Akita Inu who understands some of your commands :P
I guess you all may have seen the latest VisionLab comercial on TV. I couldn't help recalling some of the old songs I used to love as a child (ages 4 to 8). I would like to share some of them with you so you will all realize how tendencies have changed :P
Vision Lab Comercial:
"Super Disco Chino" and "La Gallina Cocouaua" by Enrique y Ana:
This is the song the comercial above has been inspired by. This strange duet managed to hit several nº1 hits in the 8 years they were together. "El Intermedio" used this 80's hit to create one of his hilarious video :D Click here!
They separated in 1984 and while Ana decided to focus on her studies, Enrique kept on singing and colaborating in some TV shows. Two years ago I did realize who Enrique really was nowadays... and it hit me out! I am talking about Enrique del Pozo (La Noria, Aquí hay Tomate, DEC...)
Have you ever heard of Bom Bom Chip? They became quite famous after their Leticia-Sabater-hosted debut in the early 90's with some famous hits as "Toma Mucha Fruta" and "Multiplícate por cero" XD
If you find this interesting (and FUN), let me know and I'll share more "oldies" with you XD
Now it's your time: do you remember any of the "children songs" you used to like 8 or 9 years ago?
Reading about Pluton's disgrace when he was relegated to a non-planet state, I recalled about this wonderful video I discovered by chance a few years ago ;)
Hey guys!! This first day in Isaba has been a trhilling experience :D I will keep uploading this entry with your doubts and the solutions to the Sequences and Progressions Bulleting I gave you last week ;)
REMEMBER: I would really appreciate if you report me any "bug" (mistake) you find in the solutions so I can correct them all ;) Also, feel yourselves free to ask me any doubt you may find ^_^
Today you have been given the laptops so you can start looking for some information to begin with your papers... ;)
Fibonacci and the Golden Ratio (download)
Mónica, Patricia, Paula, Tristán, Zuriñe
Tartaglia's T. and The Geometric Numbers (download)
Rubén, Andrés, Santi M, Miguel, Nicolás Numeric Systems (download)
Pablo, Santi A, Helena, Iranzu, Maite Fractal Geometry (download)
Idoia, Amaia, Ander, Tottita Classic Problems (download)
Tomás, Edu, Meri, Silvia, Iñigo B.
HELLO CLAAAASS!!!!!! Sorry for the late, I had a problem with the internet First of all we have correct the exercises we have har for: HOOOOMWOOORK!!! Then, we add in theory section the Addition of "n" consecutive terms of a G.P. If we multiplicate by "r" the term a7 of a G.P. we obtain a8: 1. S: a1 + a2 + a3 + ... + an-1 + an 2. S: a2 + a3 + a4+...+ an-1 +an + r+an _________________________________ 2.-1.= -a1 + r * an
Then Mario give us the global EXAAAAAAMS!!! and finally the activity of the worbook Dentro de poco podreis ver el nuevo video se frank de la junglaaaaa!!!
Hi guys! I've just finished writing the solutions of the bulletin I uploaded a week ago with the equations and systems exercices to practice... I beg you to try to solve them before checking the solutions, so your neuron works a little bit... but, don't work too hard since it might get stressed!! (yes, I'm trying to sound sarcastic XD)
Here's a new challenge I discovered a few days ago. I solved it at my journey from Pamplona to Pontevedra, involving no more than 5 minutes, so I guess you'll have no trouble at all trying to face it :D
The Pilgrim’s Problem
An Italian pilgrim was planning his journey from Rome to Santiago de Compostela. Before arriving to Spain, he wanted to visit 64 different cities using only 15 straight pilgrimages. The map he was currently in possession of, showed the different paths communicating all the cities he wanted to visit.
Would you be able to draw a path using 15 straight lines without removing the pencil from the sheet so the pilgrim manages to complete successfully his trip?
Watch it: You MUST start your trip from the black spot, but you can finish it wherever you want. Note there’s one missing connection between two towns at the bottom of the drawing.
If you prefer to download a printable pdv version, click HERE.
Let's cherish this holiday week with some music!! LET'S DANCEEEE!!!
Hi class!:) Yesterday was Tuesday 14th of february 2012 ,it was cloudy and a little bit rainy and snowing...but wasn´t a sad day becouse it was valentinesday!For people in love happy valentines day;)
Today we started the lesson with a fotocopy to review the Arithmetic Sequences, then we have done the exercises of the fotocopy and for the book: 8, 9, 45, 46, 47 and 48. They were very similars and repetitives.Also we have laern what is an Arithmetic Progresion.
What is a Arithmetic Progresion? -In the fotocopy: Arithmetic Progresion is a sequence of numbers such that the difference of any two successive terms of the squence is a constant(i.e., always the same number).That constant is called difference (d). Had one term of an Arithmetic Progresion been given, you would have just to add that difference to move to the next term. An Arithmetic Progresion is a squence such that:-In the wikipedia: An arithmetic progression (AP) or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant. For instance, the sequence 3, 5, 7, 9, 11, 13, … is an arithmetic progression with common difference 2.
If the initial term of an arithmetic progression is a1 and the common difference of successive members is d, then the nth term of the sequence is given by:
As I promised, I've uploaded the solutions to the first part of the exercises sheet you were able to download from the previous entry ;)
Click ¡¡HERE!! if you want to check the answers from "a" to "n". If you notice something strange or you don't understand any of the steps I've followed to get the solutions, feel yourself free to ask me using the blog (so your doubt's solutions can be shared) ;)
Have you ever heard anything from Arcade Fire? If this song doesn't move/trhill you, you should visit a doctor... XD
1) If you want to get the pdf version of this week's challenge, click HERE!. This time I will take your answers only in the classic handwritten versions :P I guess the best way of confronting this challenge would be by printint the instructions and solving the equations on the back of the paper ;)
Deadline: February the 16th.
2) For getting a copy of the equations and systems extra exercices, click HERE! I promise I will be uploading the solutions (not only the final number, but the whole procedure) from now on. Don't hesitate to ask me anything you don't understand, ok?? You may use either the blog or the e-mail to send me your questions ;)
Have you ever heard this song? I discovered this UK band 8 years ago, when their first studio album had just been released. They sound just GREAT and their live performances are incredible ;) (Note they only play with drums, piano and voice :D )
The last day we started a new unit: Successions and Progressions. Mario says that this we should study every day if we want to learn it. We wrote an index for the unit and then we started with point 1, Successions and General Terms. We had to write a lot of theory stuff. We learned when successions were and and how to find the number that occupies x position in it. The formula with we use for this is called general term. The different types of successions depend on the general term:
When it the general term doesn't depend on other terms. An example of this are the natural numbers.
Recurrent successions: the general term depends on other terms. We will learn more about these later on.
Successions without general term, like pi's decimals.
Then we did excersises 1 and 4. I hope that this unit won't be very difficult.
A women is 21 years elder than her son, but his age will be his mother’s fifth part in 6 years.
Anyway, I wonder where the father is…
THAT'S IT! :D
Deadline: February the 6th.
You must proceed as usual: post a comment on this entry's wall and then send it to my e-mail account ;) And remember... Try to make your best and be one of the firsts!
You my find it inspiring to squeeze your only-thinking-neuron with Sigur Ros as background music ;)
PS: congratulations to Santi, Maite and Helena; you all succeeded on the previous challenge :D
Hi class! Today is Tuesday 31 of January 2012, it's cloudy and a little bit rainy... It's a sad day.
Today we started the lesson correcting the homework, the exercises 64 and 73. Then we have done the exercises 74, 77, 80 and 66(c and d). They were very difficult and long.
We have not behave very good, because we were very talkatives, but it have not been the worst day...
The exam of the units we have studied is on Wednesday 8 of February 2012 and Mario wants to do it impossible for us, so STUDY!
Homework: Exercise 66: a, b and e.
This is not maths, but if you love internet, and you want to preserve it like you know it, you can spend a few minutes of your time reading this...
Do you know what is SOPA? Well, here we have a law which is WORST. Here is a video of the explanation of the ACTA Law , a new law that the governments want to aprove, and if they do it, the internet as we know it, will desappear...
But we can keep hopeful, because many people is manifesting against this laws, and groups of hackers like anonymus are fighting against this...
This may seem an impossible challenge, but I encourage you to try until you succeed :D
Draw 9 points distributed through 3 rows and 3 columns:
Will you manage to join those 9 dots using just 4 straight lines without removing the pen from the paper?
Once you've come up with the solution, post a comment to this entry and e-mail an image file to my e-mail address showing your achievement ;)
Let's play a tune from the classic Phantom of the Opera Musical. If you ever have the chance to travel either to New York City or London, you should'nt miss the chance of this thrilling experience :D