4 of 4 Items .... Source: Robert Kaplinsky

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

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3

Challenges

  1. Use four different digits (from 2-9) to create two points which determine a line with the greatest possible slope.

  2. Use four different digits (from 2-9) to create two points which determine a line with the least possible slope.

  3. Use four different digits (from 2-9) to create two points which determine a line with a slope as close to zero as possible.


What does "greatest" slope mean?
What does "least" slope mean ... most negative?


.: [ALG1], [Robert Kaplinsky], [Open Middle].

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This problem, from Robert Kaplinsky, asks for you to fill in the spaces.




Being the ornery sort, I wondered if there were other coefficients that we could choose for the cubic that might give multiple sets of answers?


.: [ALG2], [Robert Kaplinsky], [Open Middle].

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Anything wrong with these dice?




If you ever wanted to quickly show one reason why CCSS MP 7 (seeing structure) is so important, take a look at these dice from Wask Studio. How much longer did it take you to count the pips?


.: [PROBABILTY], [Robert Kaplinsky], [Notice, Wonder].

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Link to the problem in the source.


.: [MS Math], [Robert Kaplinsky], [Open Middle].
that's it.