Directions: Use any whole number from 1 to 9 to find the biggest and smallest possible slope. You may only use a number once.

### Hint

### Hint

What creates a large (or small) slope?

### Answer

### Answer

Largest: 8

Smallest: -8

Smallest: -8

Source: Dane Ehlert

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

My students came up with 8 and -8 today as well!

Great catch you two! The correct solution has been updated, thanks!

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.

(0,-8) (1,9)