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Rational functions inquiry

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Link to the Inquiry Maths website

 

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Inquiry prompt

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Inquiry prompt

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Inquiry Maths

Link to the Regulatory Cards

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Inquiry Maths

Regulatory cards for a guided inquiry

Link to the Regulatory Cards

Make a generalisation.

Prove a generalisation.

Generate examples.

Explore different types of cases.

Analyse the structure.

Decide if the prompt is true.

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Lines of inquiry

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Decide if the prompt is true.

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Generate examples.

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Create more examples of the type of rational functions in the prompt.

 

What do you notice about the asymptotes?

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Explore different types of cases.

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What do you notice about the asymptotes?

Generalise for each type of case.

Make a generalisation.

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Explore different types of cases.

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What is the difference between a vertical asymptote (non-removable discontinuity) and a hole (removable discontinuity)?

Make a generalisation.

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Explore different types of cases.

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Make a generalisation.

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Analyse the structure.

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Analyse the structure.

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Prove a generalisation.

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Inquiry Maths