Thousands, Angles and Time

The Thousand Cube #

Ten hundreds stacked into one block.

Ten hundreds stack into a single block, and that block is a thousand

This flat square is one hundred. Stack 10 of them and watch what they build.

Ten hundreds stacked up make a solid thousand: 10 × 100 = 1000.

Thousands, hundreds, tens and ones. Every digit counts its own group.

Numbers to Ten Million #

Eight digits, read in groups of three.

The places keep growing tenfold, and the comma groups them three at a time

Ten thousand-blocks make ten thousand. Ten of those make a hundred thousand.

Big numbers group three digits at a time: 342,516 is 342 thousands and 516.

Read the front group, say thousand at the comma, then read the back group.

A second comma marks millions: 4,250,000 reads four million, two hundred fifty thousand.

Angles #

How far one line has turned from another.

An angle measures how far one line has turned away from another

A quarter turn is a right angle: 90°. The little square marks it.

Turn less than 90° and the angle is acute.

Turn past 90° and the angle is obtuse.

Measuring and Drawing Angles #

Read the protractor from the zero the arm sits on.

An angle is read off the protractor, starting from the zero its arm sits on

The angle at B, between arms BA and BC, is written ∠ABC — the vertex in the middle.

Center on the vertex, zero along one arm: the other arm crosses the scale at 50.

Both rings mark this arm: 130 and 50. Start from the arm on zero — it is 130.

Telling the Time #

Two hands, two speeds, two meanings.

The short hand names the hour; the long hand counts the minutes in fives

The short hand names the hour — it points at 3. The long hand counts minutes.

The long hand counts in fives: every numeral is 5 minutes. On the 3, that is 15.

On the 6 it has counted six fives — 30 minutes. Half past three.

At 3:45 the short hand has crept near the 4 — the hour stays 3 until it passes 12.

Telling Time to the Minute #

Fives to the numeral, then the single marks.

Count fives to the numeral, then single marks the rest of the way

The long hand sits past the 4: fives make 20, then 2 small marks — 22 minutes.

Just past the hour: 3 small marks — 10:03, the minutes written with a zero.

Hours and Minutes #

Sixty minutes to the hour, written h and min.

An hour is 60 minutes, written h and min

From 3:00 to 4:00 is one hour, and one hour is 60 minutes.

Hour shortens to h and minute to min: 1 h = 60 min, 2 h = 120 min.

Half an hour is 30 min — the long hand has gone half the way round.

Minutes and Seconds #

Sixty seconds to the minute, written s.

A minute is 60 seconds, written s

Seconds count the quick things, and sixty of them make a minute: 1 min = 60 s.

A blink takes a second and a song takes minutes — the unit matches the doing.