1st/2nd Honors Geometry Skinny

What

1st/2nd Honors Geometry Skinny

When

4/4/2023

Standards Addressed:
MGSE.9-12.G.GMD.1 Give informal arguments for geometric formulas.
a) Give informal arguments for the formulas of the circumference of a circle and the area of a circle using dissection arguments and informal limit arguments.

MGSE.9-12.G.C.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.

Learning Targets /Success Criteria:
LT: I can calculate arc length and area of a sector for circles.
SC:
• I can identify the angle measure (degrees) for the sector or arc using arc and angle theorems.
• I can use the appropriate formula to solve for arc length or area of the sector given the problem.
• I can solve real world problems involving arc length and area of sectors.

Introduction/Connection (Activator): students will be asked to find central angles or arc lengths given a picture.

Direct Instruction/Guided Practice:
• Guide students in completing Arc Length and Area of Sector Foldables (2—attached below).

independent practice/Differentiation/Collaboration:
--Differentiation: Graphic organizers, foldables, color coding lines/segments, one-on-one assistance for struggling students, accelerated practice for higher performing students, partner work, student-led teaching/review.
--if time, students will work on Circumference, area, arc lengths and area of sectors practice w/s.

Summarizer/CFU: TOTD

Assignment: TBD.