Title: Assignment: (Task) Setting Up Sprinklers: Circles and Right Triangle Trig
Course: HBUHSD Geometry Resource Course

Estimated Time: 50 minutes

Teacher Notes: This task involves several different types of geometric knowledge and problem-solving: finding areas of sectors of circles (G-C.5), using trigonometric ratios to solve right triangles (G-SRT.8), and decomposing a complicated figure involving multiple circular arcs into parts whose areas can be found (MP.7).

Teachers who wish to engage their students in some of the more creative aspects of modeling can just skip parts (a) and (b) of the task and have students jump into part (c). Teachers who wish to use this problem as a classroom task may wish to have students work on the task in cooperative learning groups due to the high technical demand of the task. If time is an issue, teachers may wish to use the Jigsaw cooperative learning strategy to divide the computational demands of the task among students while requiring all students to process the mathematics in each part of the problem.

Sprinkler Task (Student Copy).pdf

Teacher Commentary