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...
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?
