Thousands, Angles and Time

Stage 4 of 23 Strand 1 of 5 8 lessons

8 illustrated lessons, each teaching the why before the how.

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The Thousand Cube

Ten hundreds stacked into one block.

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

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

1000

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

1 thousand2 hundreds3 tens4 ones
1234

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

Now you

1 thousand, 1 hundred, 4 tens, 8 ones

1 thousand, 0 hundreds, 3 tens, 4 ones

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

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10000

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

342,516the comma splits thousands from the rest

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

342,516the group before the commathree hundred forty-two thousand,five hundred sixteen

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

4,250,000the second comma splits millions from thousands

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

Now you

81,511five digits, grouped in threes

In 81,511, which digit counts the ten thousands?

672,463six digits, grouped in threes

In 672,463, which digit counts the ten thousands?

Angles

How far one line has turned from another.

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

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90°arm length

A quarter turn is a right angle, 90°. Turn the arm until the little square appears.

40°acute

Turn less than 90° and the angle is acute.

130°obtuse

Turn past 90° and the angle is obtuse.

Now you

160°

What kind of angle is this?

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

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0301506012090901206015030180ABC

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

0301506012090901206015030180

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

0301506012090901206015030180

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

Now you

0301506012090901206015030180ABC

Which names the angle at B?

0301506012090901206015030180

What size is this angle?

Telling the Time

Two hands, two speeds, two meanings.

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

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121234567891011

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

121234567891011

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

121234567891011

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

121234567891011

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

Now you

121234567891011

What time is this?

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

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121234567891011

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

121234567891011

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

Now you

121234567891011

What time is this?

Hours and Minutes

Sixty minutes to the hour, written h and min.

An hour is 60 minutes, written h and min

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3:004:0060 minutes

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

1 hour = 60 minutesthe short way to write it1 h = 60 min

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

121234567891011

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

Now you

1 h = 60 min4 h = ?

How many minutes is 4 h?

2:003:00

How long is it from 2:00 to 3:00?

Minutes and Seconds

Sixty seconds to the minute, written s.

A minute is 60 seconds, written s

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1 minute = 60 secondsthe short way to write it1 min = 60 s

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

aboutone blink1 stying a shoe30 sone song3 min

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

Now you

aboutone blink1 sone song3 mina night’s sleep9 h

Crossing the road takes about…

1 min = 60 s4 min = ?

How many seconds is 4 min?

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