Slope From Two Points

Directions: Using the digits 1 to 9 at most one time each, fill in the boxes to find the greatest and least possible slope.


What creates a large (or small) slope?


Greatest: 8
Least: -8

Source: Dane Ehlert

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  1. I can make a slope of 8 (which is larger than 7/3) using (2,1) & (3,9). Similarly with the smallest.

  2. As I look at this, I wonder if we should consider 8 and -8 the same slope. One just being a positive and the other negative. They both have the same steepness. I was thinking 8 and 1/8. I am going to change the directions to read, Create a slope with the greatest steepness and one that is the least steep. Wondering what you all think…

    • Very interesting Jeanmarie. I think it highlights the mathematical precision issues with “biggest and smallest” and I really like your version. Thanks so much for adding it to the conversation.

    • I did the same thing Jeanmarie! I think there are more meaningful conversations around the fact that the kids that found 8 and -8 are both correct because they have the same steepness!

  3. Can you explain how you did this?

  4. I was thinking the same thing.

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