Tens, Ones and Hundreds

Stage 3 of 23 Strand 2 of 5 7 lessons

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

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Counting to a Hundred

Ten rows of ten, counted either way.

Counting in tens reaches a hundred in ten steps instead of a hundred

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10

One full row is ten squares. Count along it in ones: 1, 2, 3, all the way to 10.

30

Every new row adds another ten. Three full rows: 10, 20, 30.

70

Counting in tens is quicker: 10, 20, 30, 40, 50, 60, 70 — seven rows, seven words.

100

Ten rows of ten fill the square. Ten tens is one hundred.

Now you

80

Counting in tens, what comes after 80?

How many squares are shaded?

Skip Counting

Same-size jumps, from twos up to thousands.

Skip counting jumps by the same amount every time

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1234567891011121314151617181920

Counting in twos rings every second number: 2, 4, 6, 8 — one jump of two each time.

123456789101112131415161718192021222324252627282930

Counting in fives, every number ends in 5 or 0 — the rings make two columns.

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950

Counting in tens, every number ends in 0: 10, 20, 30, 40, 50 — one column.

01000

Bigger jumps work the same: 100, 200, 300 — one hundred at a time.

Now you

1234567891011121314151617181920212223242526272829303132333435363738394041424344454647484950

Counting in tens, what comes after 30?

1234567891011121314151617181920

We count 5, 10, 15. What are we counting in?

Odd and Even Numbers

Pairs up cleanly, or one is left over.

An even number pairs up with none left over; an odd number leaves one

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222

Six pairs up perfectly: three twos and nobody left over. Six is even.

2221 left

Seven tries the same and one is left standing alone. Seven is odd.

1234567891011121314151617181920

The evens end in 0, 2, 4, 6 or 8 — count in twos and you land on every one.

Now you

22222221 left

Which of these is odd?

12345678910

Which of these is even?

Tens and Ones

A two-digit number is tens and ones.

A two-digit number is a count of tens and a count of ones

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23

23 is 2 groups of ten and 3 ones.

23

The digit on the left counts the groups of ten.

23

The digit on the right counts the ones that did not fill a group.

tensones1010 ones dropped

Ten ones fill a group, so ten ones become one ten: that is why 10 is written with a 1 and a 0.

Now you

1 ten and 5 ones

5 tens and 2 ones

Number Words to a Thousand

The hundreds first, then tens, then ones.

Number words follow the tens and ones: forty-seven is forty and seven

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word20twenty30thirty40forty50fifty

Every tens number has its own word: twenty, thirty, forty, fifty — up to ninety.

47

Forty-seven says its tens first, then its ones: forty and seven.

word13thirteen15fifteen18eighteen

The teens say their ones first: thirteen is three-and-ten, one ten underneath.

345

Past a hundred the pattern holds: three hundred forty-five, biggest place first.

Now you

Which number is forty-three?

Which number is thirty-seven?

Hundreds

Ten tens pushed together make a hundred.

Ten groups of ten push together into one square of a hundred

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Here are 9 groups of ten. Add 1 more group and watch what happens.

100

The 10 groups join into one square of a hundred. Ten tens make 100.

234

Any 3-digit number is made of hundreds, tens and ones.

Now you

1 hundred, 8 tens, 9 ones

1 hundred, 0 tens, 1 one

Ordering Numbers

More digits wins; then the leftmost difference.

More digits wins; when digits match, the leftmost different digit decides

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05010015020087132

87 or 132? The 3-digit number is further along — more digits always wins.

340 or 390?the hundreds tie3 = 3390 wins at the tens4 < 9

Same number of digits: compare from the left, place by place, until one differs.

010020030040087340390

Ordered smallest to largest, they sit left to right: 87, 340, 390.

Now you

010020030040050095329385

Which is largest: 95, 329 or 385?

0200400600800100074424488

Which is largest: 74, 424 or 488?

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