Modeling is a big emphasis area of the CCSSM.
GAIMME Report – this is from COMAP and SIAM (two long-time organizations who know about/advocate for applications). COMAP = Consortium for Mathematics and its Applications; SIAM = Society for Industrial and Applied Mathematics.
GAIMME = GUIDELINES FOR ASSESSMENT & INSTRUCTION IN MATHEMATICAL MODELING EDUCATION
Online here: http://www.comap.com/Free/GAIMME/PDF/GAIMME_Report.pdf
Driving for Gas is a good problem on p 55 and page 180-.