☰ Contents · Geometry

Circle and disc. Practical measuring

Lessons 7–8 · 2 lessons · Geometry Grade 7, corrected and expanded 3rd edition. Yangiyo‘l Poligraf Servis, Tashkent, 2017 (approved by the Ministry of Public Education)
8

Practical lesson

Textbook: pp. 20–21
GoalPractise measuring lengths and using scale in real situations.
New words
hand span · qarichpace · qadammap scale · xarita masshtabiinch · duym
Explanation

In this practical lesson we reinforce ways of measuring length. If you measure your hand span and pace once and remember them, you can estimate lengths without a ruler. To measure a long distance with a short ruler or a matchbox, lay it end to end and add the results. On a map, measure the distance between two cities with a ruler and multiply by the scale. Screen diagonals are given in inches: 1 inch = 2.54 cm, so 10 inches is 25.4 cm. Do all practical measuring in the classroom or a safe part of the school yard, away from roads.

Worked examples
A pace is 60 cm. 50 paces are 60 · 50 = 3000 cm = 30 m.
Map scale 1 cm = 40 km. 9.5 cm ↔ 9.5 · 40 = 380 km.
Class activity

“Measuring the room”: groups measure the classroom length in different ways (spans, paces, a 30 cm ruler), write the results in metres and compare. Why do they differ a little?

Practice
1
Your span is 18 cm. A desk is 5 spans long. How many cm?
2
On a map the distance is 6 cm, scale 1 cm = 30 km. Real distance in km?
3
A corridor was measured with a 30 cm ruler laid 14 times with nothing left over. How long is it in metres?
4
Why is it useful to repeat a long measurement several times?