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Checkerboard Challenge: Counting the Number of Squares, Study Guides, Projects, Research of Elementary Mathematics

A problem about counting the number of squares on different sized checkerboards. It encourages readers to think critically about the concept of squares and consider patterns to find an efficient way to count them. The document also suggests building or drawing bigger checkerboards to extend the problem.

Typology: Study Guides, Projects, Research

2021/2022

Uploaded on 09/12/2022

anuradha
anuradha 🇺🇸

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Checkerboard Challenge
How many squares on a standard 8 x 8 checkerboard?
WARNING! It’s more than you think!
Things to think about…
What do you know about squares?
Are all squares the same size?
How will you count and keep track of the squares you find?
What else?
How many squares on the smaller checkerboards?
This could be a place to begin…or a place to go further! Look for patterns as you
work on this problem.
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How many squares on a standard 8 x 8 checkerboard?

WARNING! It’s more than you think! Things to think about…  What do you know about squares?  Are all squares the same size?  How will you count and keep track of the squares you find?

What else?

How many squares on the smaller checkerboards? This could be a place to begin…or a place to go further! Look for patterns as you work on this problem.

How many squares on this checkerboard?

How many squares on this checkerboard?

Think BIG!

Build or draw a bigger checkerboard. How many squares can you find?