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In pairs, one student (the creator) rolls two dice (6 or 10-sided of different colours). The roll of one dice (e.g., black) determines the number of rows, and the roll of the other die (e.g., green) the number in each row. The creator uses tiles to make the top row and left-hand column of the partial rectangular array. How many tiles do I need?

Top Drawer Teachers: How Many Tiles do I Need?

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Page 1: Top Drawer Teachers: How Many Tiles do I Need?

• In pairs, one student (the creator) rolls two dice (6 or 10-sided of different colours). The roll of one dice (e.g., black) determines the number of rows, and the roll of the other die (e.g., green) the number in each row.

• The creator uses tiles to make the top row and left-hand column of the partial rectangular array.

How many tiles do I need?

Page 2: Top Drawer Teachers: How Many Tiles do I Need?

How many tiles do I need?

Page 3: Top Drawer Teachers: How Many Tiles do I Need?

• The partner (thinker) verbalises the number of rows and number of tiles in each row as a fact, (e.g., 3 × 6).

• The thinker works out the total amount of tiles needed to make the complete array and explains how he/she worked it out and records it in someway.

• The generator uses tiles to check, if needed.

• They then swap roles and repeat the activity.

How many tiles do I need?

Page 4: Top Drawer Teachers: How Many Tiles do I Need?

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?