# Q3, W9: March 2-6 Geometry Teacher Kristin Andreason Geometry Honors 8 March 2-6 Unit 6: Two-Dimensional Measurements
Standard(s) Taught

MAFS.912.G-C.2.5  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.

MAFS.912.G-MG.1.2:  MODELING STANDARD

Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile).

MAFS.912.G-CO.4.13:  Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.

MAFS.912.G-CO.1.3:  Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the rotations and reflections that carry it onto itself.

Learning Targets and Learning Criteria
• calculate the area of a circle.
• define and derive sector of area.
• calculate the area of a sector using the ratio of the intercepted arc measure by degrees multiplied by the area of the circle.
• decide whether it is best to calculate or estimate the area of a geometric figure and perform the calculation or estimation.
• break composite geometric figures into manageable pieces.
• convert units of measure.
• apply area to situations involving density.
• define inscribed polygons.
• construct an equilateral triangle, a square, a hexagon inscribed in a circle.
• explain the steps to constructing and equilateral triangle, a square, and a regular hexagon inscribed in a circle.
• describe and illustrate how a rectangle, parallelogram, and trapezoid are mapped onto themselves using transformations.
• calculate the number of lines of reflection symmetry and the degree of rotational symmetry of any regular polygon.
Classroom Activities

Monday/Tuesday:

• Students will take the Mini Summative on Quadrilaterals
• We will create the foldable on Arc Length/Sector Area

Wednesday:

• Students will do practice problems on Arc Length/Sector Area
• I will give them notes on Population Density

Thursday/Friday:

• We will review for the DIA doing stations with problems from each standard.
Assignments Due
• Mini Summative is due by March 2/3.