Open Middle®
Directions: Using the digits 1 to 9, fill in the boxes to make as many ratios as you can that are equivalent to 2:3.
Hint
What makes a ratio equivalent?
Answer
There are 3 ratios that are equivalent to 2:3 including: 2:3, 4:6, and 6:9.
Source: Robert Kaplinsky
It interesting, because I see this challenge as less difficult than the one you have for grade 6 involving creating three equivalent ratios for the numbers 1-9. As long as students know the scale factors, they could fairly easily solve this one, I think. Any experiences in the field on this one?
Thanks for your wonderful website.
Yeah, this isn’t my favorite problem but it is slightly more challenging than a DOK 1 problem in that students have to know that there is more than one way to make a ratio with the same value. I’ve never used it with students.
The reason why the ratios are equal to each other is that you can see a pattern like 2,4,6 and then you see the other pattern its going like 3,6,9
I used this to fill in a small space of time, so while it isn’t as challenging as most other tasks on here, it did generate a good conversation about the problem’s constraints and what that meant for possible outcomes.