---
title: Working backwards through three steps — a lesson of Mova's school · trees and pragmatics
description: «Working backwards through three steps», a lesson of the lessons course of Mova's primary school, sentence by sentence with dependency trees and pragmatics. It begins: To find the start, begin with what is left at the end and undo the steps one by one, from the last to the first.
---

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# Working backwards through three steps

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Lesson 172 of the lessons course of Mova's primary school: 3 sentences, each with its syntax tree and pragmatics. The lessons are written for Mova, and their agreed trees are part of Mova corpus 0.4 (CC BY-SA 4.0).

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- [0](https://md.mova.elamur.ai/free/en/corpora/school/lessons/172-backwards-three-steps/0/) — To find the start, begin with what is left at the end and undo the steps one by one, from the last to the first.
- [1](https://md.mova.elamur.ai/free/en/corpora/school/lessons/172-backwards-three-steps/1/) — Undo «took away 5» by adding 5, undo «halved» by doubling, undo «added 3» by taking 3 away, undo «doubled» by halving.
- [2](https://md.mova.elamur.ai/free/en/corpora/school/lessons/172-backwards-three-steps/2/) — She spent 4 dollars, then half of the rest, then 3 more, and had 6 left: 6 + 3 = 9, 9 × 2 = 18, 18 + 4 = 22 dollars at first.

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