I. The final problem set in the "Comparing Ratios, Percents, and Fractions" investigation of Connected Math 2: Grade 7 (the book's only section on ratios):
II. The ratio problems in the "Review" section that follows the "Ratio" chapter in the 6th grade Singapore Math Primary Mathematics 6A Workbook:
III. Extra Credit
It has struck me recently that Reform Math provides little or no opportunities for students to show mathematical cleverness--and to be appreciated for being clever. Several of the above Singapore Math problems, on the other hand, do reward cleverness. What does this suggest about the different values of the Singaporean vs. the American education establishments?