Low floor high ceiling tasks - squaring the dots : think into the box

Sircar, Swati and Titus, Sneha (2019) Low floor high ceiling tasks - squaring the dots : think into the box. At Right Angles. pp. 44-50. ISSN 2582-1873

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A square dot sheet has equally spaced dots aligned vertically and horizontally. Many interesting investigations can be devised with this simple learning material. We began with a question that had been posted in the Thinking Skills PullOut (November 2015): Can you draw a square with just 1 dot inside? The resulting investigation has branched out in multiple directions; we will explore a few and leave you to try the rest. As usual, we have designed this investigation in the Low Floor High Ceiling style in which we welcome explorers to step easily into the low-floored classroom with fairly easy questions. As the investigations proceed, the questions get more challenging and the high ceiling is designed to keep even the most able students thinking, conjecturing, proving and, in short, being mathematicians.

Item Type: Articles in APF Magazines
Authors: Sircar, Swati and Titus, Sneha
Document Language:
Uncontrolled Keywords: Dot sheets, squares, counting, slopes, pattern, generalising, algebra
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
URI: http://publications.azimpremjifoundation.org/id/eprint/3168
Publisher URL:

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