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Problems, Questions, and Puzzles to spark discussion and argument in the maths classroom.

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#Simplify



.: [PRE-CALC], [SKG], [Raw Pure Math].

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At what grade level, and during which topic (or after which topic) can we reasonably expect that a student can solve this without a calculator?



.: [Teacher Education], [SKG], [Pedagogy].

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At what grade level, and during which topic (or after which topic) can we reasonably expect that a student can solve this without a calculator?



\( \dfrac{27^x-3^x}{9^x-3^x} \)


.: [Teacher Education], [SKG], [Pedagogy].

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The creator obviously wanted this to be harder. What mistake did they make?

What's the value of a?


.: [GEOM], [SKG], [Find the Error].

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.: [ALG2], [SKG], [Raw Pure Math].

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#puzzle of the day:



.: [ALL], [SKG], [Puzzle].

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After you see how this works, can you explain it as if I were ten years old? What's the "hook," the clever bit that makes this interesting? Can you develop more of these, perhaps more clever than this one?



.: [PRE-CALC], [SKG], [The Hook].
that's it.