Number Tracks
Ben's class were making number tracks and cutting them up.
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First they cut them into twos. Ben started with zero
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but Miles started with one:
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Then they both added up the numbers on each piece.
Ben wrote: $0 + 1 = 1$, $2 + 3 = 5$, $4 + 5 = $... ... ...
Miles wrote: $1 + 2 = 3$, $3 + 4 = 7$, $5 + 6 =$ ... ... ...
What patterns could they see?
Alice cut her number track into $3$s and added up the numbers on each one.
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Winston made a longer number track which he cut into $5$s and he added up the numbers on each one.
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What could they discover about the sum of the numbers on their strips of number track?
What other patterns can you find?
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