This fraction open ended question was created to go with the third grade GO Math Chapter 8: Understand Fractions. The activity helps students practice the fraction standard 3.NF.A.2.
The task requires students to set up a number line that represents a mile long race that is cut in 8 laps. 1 lap = 1/8 of a mile, 8 laps = 1 mile. After setting up the number line students place four runners anywhere they want in the race (as long as no two runners are in the same place.)
Students must then determine what fraction of the 1 mile race each runner has run so far, how much they have left and what their current standing in the race is compared to other runners. There 4 reflection questions afterwards to extend students' thinking and make connections to future lessons- asking them to think about how many laps would make half a mile, how many laps would make 2 miles, etc.
This activity is great for partners or centers.