Teaching article

A growing pattern has a proposed rule to test

Describe how the amount changes at each step and test the rule on another step.

Two, four and six suggest adding two, but a few terms alone do not prove a unique rule. State the chosen rule explicitly and use another step to check its intended operation.

Compare successive amounts. State a possible growth rule. Predict and check the next step.

Explain the growth instead of just naming eight

State the proposed rule rather than claiming the opening terms prove it uniquely. Test the rule on an additional step.

Adding two each time gives eight after two, four and six in this stated sequence.

A few terms can fit more than one possible rule. What evidence supports the chosen continuation?

Use movable counters to show the added amount.

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