Students can practise constructing models of word problems using virtual thinking blocks. See www.thinkingblocks.com for a useful tool and many examples for practice.
Read more about the underlying structure of word problems in Assisting Students Struggling with Mathematics: Response to Intervention (RtI) for Elementary and Middle Schools (NCEE 2009- 4060), pages 26–29. This resource can be downloaded from http://ies.ed.gov/ncee/wwc/practiceguides/
See Resource 12 for suggestions of problems that you can explore with ALiM students.