Read Roman numerals to 1,000 (M) 2 - Reasoning

In this reasoning activity focused on Roman numerals and place value, students are presented with sequences of Roman numerals arranged in rows, each following a distinct numerical pattern. The task requires students to identify the missing numerals in the sequence and to discern the pattern governing the increase in numbers from one numeral to the next within each row. Upon inspection, it is revealed that the numbers in the first row increase by increments of 5, as evidenced by the sequence CXII (112) to CXVII (117). The subsequent rows show progressively doubling increments; the second row increases by 10, the third by 20, and the fourth by 40.

The pattern becomes clear as the students examine the sequences: XIX (19), XXIX (29), XXXIX (39), and XLIX (49) in the second row, and CCLX (260), CCLXXX (280), CCC (300), CCCXX (320) in the third row. The fourth row's sequence starts with DCCCLXXX (880), followed by CMXX (920), and CMLX (960), concluding with M (1000). Each row illustrates a clear doubling pattern from the previous row's increment. The activity not only reinforces the understanding of Roman numerals up to 1000 but also hones the students' ability to recognize and apply numerical patterns and sequences, a fundamental skill in the study of number and place value.