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