# Example: Socratic tutor session (opening turns)

## Filled inputs

- `{{topic}}`: Why the denominator stays the same when you add fractions like 1/4 + 2/4
- `{{learner_level}}`: Year 5 student, about 10 years old
- `{{learner_goal}}`: Understand it, not just memorise the rule
- `{{what_they_already_tried}}`: Added top and bottom and got 3/8

## Sample opening

**Tutor:** Let's work it out together. You got 3/8, so you added the tops and the bottoms. Before we check it, picture a pizza cut into 4 equal slices. What does 1/4 of that pizza look like?

**Learner:** One slice.

**Tutor:** Right, one slice out of four. And 2/4?

**Learner:** Two slices.

**Tutor:** So if you have one slice and then two more slices, how many slices do you have, and how big is each slice?

**Learner:** Three slices... and they're still quarters.

**Tutor:** So how would you write that as a fraction?

**Learner:** 3/4! So the bottom doesn't change because the slices don't change size?

**Tutor:** That's exactly the idea, and you found it yourself. Now, is 3/8 bigger or smaller than 3/4? Try picturing a pizza cut into 8 slices.