Implementing The Core - Raising The Bar

One less than a million. How many 9's?

Developmentally inappropriate for 7 year olds?

Developmentally inappropriate for 7 year olds?

***What questions should we be asking to develop this kind of arithmetic reasoning?***

***WHAT ARE THE BIG IDEAS HERE?***

What should children be writing on their paper to make conjectures about numerical patterns?

[1] less than 10: 9 [1 nine, 1 zero]

[1] less than 100: 99 [2 nines, 2 zeros]

etc...

[1] less than 100: 99 [2 nines, 2 zeros]

etc...

How can this be EXTENDED to challenge the child who's ready for higher-order thinking?

Note that I didn't say *OLDER* children!

EXTENSIONS/ASSESSMENT SUGGESTIONS

One less than a trillion? How many nines?

One less than a googol?

One less than 10^n?

One less than a trillion? How many nines?

One less than a googol?

One less than 10^n?

One MORE than a billion? How many 1's?

One MORE than 10^10? What is the SUM OF THE DIGITS?

One MORE than 10^10? What is the SUM OF THE DIGITS?

YOUR IDEAS FOR OTHER PATTERNS?

YOUR STUDENTS' IDEAS?

YOUR STUDENTS' IDEAS?

Discover a general rule and have them memorize it?

***STATE A RULE - YES!***

***MEMORIZE? NO! NO! NO!***

***STATE A RULE - YES!***

***MEMORIZE? NO! NO! NO!***

It's OK. I'm not expecting comments. I'm just planting seeds. Up to you to consider, modify, plant, add nutrients and illumination, watch growth

OR ignore all of this!

OR ignore all of this!

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