Counting and Comparing

Stage 1 of 23 Strand 1 of 2 7 lessons

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

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One and One

One thing and one more makes two.

One thing and one more thing makes two things

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Here is 1 square, all on its own.

+

Put 1 more square beside it: 1 + 1.

Push them together and count: 1 + 1 = 2!

+

Any two piles work the same way: push them together, then count them all.

Now you

+

2 + 1

+

1 + 3

Counting to Ten

Every number is one more than the last.

Every number is one more than the number before it

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012345678910

This is a number line. Every number has its own spot, smallest first.

Drag the arrow. Every step right adds 1, and every step left takes 1 away.

Now you

0123456789107

One more than 7

0123456789103

One more than 3

Ordinal Numbers

First, second, third — a place, not an amount.

An ordinal number names a place in a line: first, second, third

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1st

Five shapes stand in a line. Counting from the left, the circle is first.

1st2nd3rd4th5th

Third names the triangle’s place in the line, not how many shapes there are.

writtenfirst1stsecond2ndthird3rdfourth4th

The short way to write them: 1st, 2nd, 3rd, 4th — then 5th to 10th all end in th.

Now you

writtenfirst1stsecond2ndfourth?

Which is the short way to write fourth?

writtenfirst1stsecond2ndfifth?

Which is the short way to write fifth?

Writing Numbers to Twenty

One numeral for every count, tens digit first.

Every count has one numeral that writes it down

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Count the squares: 7. That count is written with one numeral, 7.

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A full ten and 3 more. It is written 13: the 1 counts the ten, the 3 counts the rest.

Two full tens and nothing left over. That is written 20.

Now you

+

How is this count written?

Number Bonds to Five

The pairs that build five.

Five can be split into two smaller numbers in more than one way

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541

Look at the circles: 5 is 4 + 1.

532

5 is also 3 + 2.

53?

To find the missing part, take the whole − the part you know: 5 − 3 = 2.

Now you

52?

2 + ? = 5

51?

1 + ? = 5

More and Fewer

Tell which group is bigger without counting.

You can tell which group is bigger without counting either one

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Let’s compare two groups of squares.

Match each square with the one above it. 2 squares end up with no partner.

The longer row has 2 more. The shorter row has 2 fewer. Neither row was counted.

Now you

4 and 2. How many fewer in the smaller group?

7 and 1. How many fewer in the smaller group?

Longer and Shorter

Line them up and see which reaches further.

Lining two things up at one end says which is longer without measuring

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ribbonstring

Lay them side by side, both starting at the same end. Now look at where each stops.

ribbonstring

The ribbon reaches further, so the ribbon is longer and the string is shorter.

ribbonstring

Same-size steps say how much: 6 steps against 4, so the ribbon is 2 steps longer.

Now you

ribbonstring

How many steps longer is the ribbon?

ribbonstring

Which one is longer?

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