3rd Block Geometry

What: 3rd Block Geometry
When: 5/18/2023

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 find the area and circumference of a circle.
--I can calculate arc length and area of a sector for circles.

SC:
• I can find the circumference of a circle given the radius or diameter.
• I can find the radius or diameter of a circle given the circumference.
• I can find the area of a circle given the radius or diameter.
• I can find the radius of a circle given the area.
• 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 complete Area and Circumference w/s (attached below).

Direct Instruction/Guided Practice:
--Review bellringer
--Finish Arc Length and Area of Sector Foldable
--guided practice on Arc Length Sector Area (attached below)
--guided practice on Test Review Sheet (attached below).

Independent Practice/Collaboration/Differentiation:
--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.
--independent practice: students will complete Sector Area/Arc Length w/s and select problems on Test Review Sheet

Summarizer: TOTD

Assignment: Students will complete Test Review Sheet (attached below)

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