Students observe and discover circle theorems involving arcs and angles with these math stations.
Seven stations are included, along with a student recording sheet in the format of “I notice, I wonder, I predict.” Stations include inscribed angles, chords, secants, tangents, diameters, vertex inside the circle, vertex outside the circle, and vertex on the circle.
Each station has three circles with the same type of arc and angle relationship. Two circles have arc and angle measures provided so students can make observations and inferences. The third circle has some arc measures provided but leaves angles blank so students can make predictions.
Place the stations around the room, give each student an observation chart, and have them move to each station in small groups. Discuss what students notice, wonder, and predict afterwards. Or, collect the sheets and see if students were able to figure out the relationships and formulas.
Pre-requisite Knowledge: Students should already be familiar with arc and angle measures. A lesson on central angles would be helpful before this activity.
This activity does not require protractors. Measurements are provided.
I love inquiry and discovery lessons! Students are always engaged and remember the material much better!