Sector Area & Arc Length
Lesson Prep
Lesson Details
Duration: 50 minutes
Learning Goal: Analyze errors from the ungraded formative assessment and continue practicing with arc length and sector area.
Prework
Read Nora Oswald's Bucket of Lies to prepare for activity
Cut out class sets of cards and gather "buckets" for Bucket of Lies activity
Classwork
Practice / Construction Challenge
Image Credit: Estefania Quintero
Standards
Common Core
HSG.C.B.5 – Derive using similarity the fact that the length of the arc intercepted by an angle is proportional to the radius, and define the radian measure of the angle as the constant of proportionality; derive the formula for the area of a sector.
TEKS
G.12(B) – apply the proportional relationship between the measure of an arc length of a circle and the circumference of the circle to solve problems
G.12(D) – describe radian measure of an angle as the ratio of the length of an arc intercepted by a central angle and the radius of the circle