Zero Power

Purpose

The purpose of this multi-level task is to engage students in using deductive reasoning to justify an index rule.

Description of Mathematics

This background knowledge and skills that need to be established before and/or during this task are outlined in the diagram below:

This task may be carried out with numerical exploration, and/or by generalising with rules that have been established earlier. The approach should be chosen in sympathy with their skills and depth of understanding.

Activity

Task: Use the index rules you know, to show how you can say that

     x0 = 1

The arithmetic approach (show more)

  • The student is able to find a pattern that leads to justifying the rule, using concrete examples.

The procedural algebraic approach (show more)

  • The student is able to justify the rule, using concrete examples and then generalising.

The conceptual algebraic approach (show more)

  • The student is able to justify the rule by generalising with known facts.

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