The topic of circles shows up early in this curriculum in Week 1 of instruction. Providing teachers with a strong foundation of properties of circles and the language used to describe them is critical to engaging later on in the week with equations of a circle and their graphs. Perhaps more important, this module highlights how students can be positioned as sense-makers and can use exploration and relationships that they identify between parts of a circle relative to the whole in order to derive their own formulas to solve co ability to identify how different parts of a circle relate to each other plays a large role in empowering students to write their own equation to solve for different problems. Often, students try to memorize formulas that will help them to solve problems in geometry so we hope that a major takeaway from this course is that students can be involved in the process of discovering the formulas on their own, based on the relationships they are able to define.

- Participants will know how to define the academic vocabulary associated with circles (arc, sector, radian, etc.)

- Participants will be able
**to**utilize two ways to find the area of a sector of a circle,

- Participants will believe students should be positioned as sense-makers and can use what they know about circles to formulate their own ideas about how to solve problems related to areas of sectors.