The Coach Who Drew Two Dots

9-hikoya, jami 10 ta

Hikoyani tinglang

Highlighted words are key vocabulary — tap one to see its translation. Colors show the part of speech:

Verb Adjective Adverb Expression

The cycling coach at a sports school keeps her whole season on one sheet of squared paper, and she fills in almost none of it.

At the start of the season — week zero, before the first training block — her rider covered 20 kilometres in the week. In week ten she covered 80. Those are the only two numbers the coach wrote down before she picked up a ruler, put a dot at each of them and joined the dots with a single straight line.

«Two points are enough,» she says, when a new assistant asks where the rest of the data is. «If the training is working, the weeks in between are already on that line.»

They mostly are. Sixty kilometres of increase, spread evenly over ten weeks, is six kilometres a week, and the rider's actual weekly distance in week five was 50 — which falls on the line exactly. Week six was 55, one kilometre off, and the coach has drawn a small circle round it and written «wind» in the margin.

The straight line does two jobs. It smooths the noise of any single week — a cold morning, a puncture, a school exam — and it makes a prediction that can be tested: at this rate, week fifteen should be 110 kilometres.

The coach is careful about that second job. A line drawn through two dots will happily run off the top of the page, she says, and no rider improves for ever. The line is a rough plan, not a promise. What it is very good at is showing, in one glance, the week when a rider stops keeping up with their own rate of progress.

Matndagi atamalar

Kartani bosing — taʼrifi chiqadi.

squared paper
katakli qogʻoz
ruler
chizgʻich
assistant
yordamchi
data
maʼlumot
weekly distance
haftalik masofa
margin
chekka, hoshiya
smooths
silliqlashtirmoq
noise
tasodifiy ogʻish
puncture
teshilgan gʻildirak
prediction
bashorat
rough
qoʻpol, taxminiy
rate of progress
oʻsish sur'ati

Qoida va formulalar

Matnda ishlatilgan matematik qoida.

two points are enough

Ikki nuqta yetarli. Chiziqli oʻsishda uchinchi oʻlchov faqat tekshiruv uchun kerak.

  • For a straight line, two points are enough.

at this rate

Shu tezlikda davom etsa. Bu ibora modelning kelajakka ham amal qilishini faraz qiladi — va bu faraz har doim ham toʻgʻri emas.

  • At this rate, she will reach 100 kilometres in week 13.

falls on the line

Chiziq ustiga tushadi. Nuqta modelga mos kelsa shunday deyiladi; mos kelmasa — off the line.

  • Week six falls exactly on the line.

Tekshirib koʻring

Matnni oʻqing, keyin hisoblang. Javobni bosib tekshiring.

1. By how many kilometres does the rider's weekly distance increase each week?

2. What distance does the line predict for week fifteen?

3. Why has the coach circled week six?