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Top Drawer Teachers: How may tiles do I need?

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Top Drawer Teachers
The Australian Association of Mathematics Teachers (AAMT) Inc.
http://topdrawer.aamt.edu.au

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Top Drawer Teachers: How may tiles do I need?

1. 1. In pairs, one student (the creator) rolls two dice(6 or 10-sided of different colours). The roll ofone dice (e.g. black) determines the number ofrows, and the roll of the other die (e.g. green)the number in each row.The creator uses tiles to make the top row andleft-hand column of the partial rectangulararray.How many tiles do I need?
2. 2. How many tiles do I need?
3. 3. The partner (thinker) verbalises the number of rows andnumber of tiles in each row as a fact (e.g. 3 × 6).The thinker works out the total amount of tiles needed tomake the complete array and explains how they worked itout and records it in some way.The generator uses tiles to check, if needed.They then swap roles and repeat the activity.How many tiles do I need?
4. 4. I know 3 × 3 is 9 and I doubled it to work out 3 × 6.Another way is to think of 3 × 5 is 15, and add another 3.How many tiles do I need?