# U.S. Flag – noticing and wondering

In this task, students develop their own strategies for calculating and using percentages in order to find measurements on a U.S. flag.

*I wonder *if the flag is drawn to scale.*I notice *that the stars form rows alternating between 6 and 5 stars.*I notice *the stars form diagonal patterns of odd numbers of stars (1, 3, 5, 7 9, 9, 7, 5, 3, 1).*I wonder *what the percentage of the flag the white (or red) stripes are.*I notice *that there is one more red stripe than white.*I wonder *what the percentage of the whole flag the area of the blue rectangle is.*I wonder *if I will need to make any measurements in order to calculate the percentages.*I wonder *if I need to know the area of the flag in order to calculate the percentages.*I notice *(by measuring) that the top stripe is 60% as long as the top of the flag.*I wonder *what the area of each star is.*I wonder *if there is enough information for me to determine all of the length measurements in the flag.

adapted from *A**dvanced Common Core Math Explorations: Ratios, Proportions, and Similarity *(p. 91–92)* *by Jerry Burkhart.

Copyright 2016, Prufrock Press: Waco, TX. Reproduced with permission.