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

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

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

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

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

Now you

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

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

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

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

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

Now you

Counting in tens, what comes after 30?

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

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

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

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

Now you

Which of these is odd?

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

23 is 2 groups of ten and 3 ones.

The digit on the left counts the groups of ten.

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

Now you

1 ten and 5 ones

5 tens and 9 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

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

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

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

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

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

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

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

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

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

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

Now you

Which is largest: 95, 329 or 385?

Which is largest: 74, 424 or 488?

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