Quarter 3, Week 9: March 5th – 8th

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TeacherFelicia Taylor
Subject AreaGeometry Honors
Grade Level8th
Week #27
Unit of Instruction7: 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, derive the formula for the area of a sector.

MAFS.912.G-GMD.1.1

Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone.  (Use dissection arguments, Cavalieri’s principle, and informal limit arguments.)

MAFS.912.G-GPE.2.7

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.

MAFS.912.G-MG.1.1

Use geometric shapes, their measures, and their properties to describe objects.

MAFS.912.G-MG.1.2

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

MAFS.912.G-MG.1.3

Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).

Learning Targets and Learning Criteria

I can…

  • calculate the area of a circle
  • define and derive the sector area
  • calculate the area of a sector using the ratio of the intercepted arc measure by degrees multiplied by the area of the circle
  • define regular polygon
  • inscribe a regular polygon in a circle and break it into many congruent triangles to find its area
  • explain and use the dissection method on regular polygons to generate an area formula for regular polygons A = 1/2 * apothem * perimeter
  • calculate the area of a regular polygon
  • use pictures to explain that a regular polygon with many sides is nearly a circle, its perimeter is nearly the circumference of a circle, and its apothem is nearly the radius of a circle.
  • substitute the “nearly” values of a many sided regular polygon into A = 1/2 aP to show that the formula for the area of a circle is A = (PI) r
  • use the distance formula to compute the perimeter and area given the coordinates of vertices of a polygon like triangle, square, rectangle, kite, rhombus, trapezoid, etc.
  • decompose more complex figures whose vertices are given using coordinates into familiar shaped that are easier to work with.
  • convert units of measure
Classroom Activities

Monday (2nd Period)

  • kahoot!
    • Finish Notes – Areas of Circles and Sectors
    • Notes – Geometric Probability
  • Nearpod 
    • DIA 4 Review – Nearpod Code: MLWUH

Tuesday (7th & 8th Periods)

  • Eduphoria! Online Testing
    • DIA 4:  Constructions and Two-Dimensional Measurement

Wednesday (Early Release Day – All Classes – 40 minutes)

  • Nearpod (2nd Period only)
    • DIA 4 Review – Nearpod Code: MLWUH
  • Eduphoria!  Online Testing (for 7th & 8th Period students who were absent on 03/06/18)
    • DIA 4:  Constructions and Two-Dimensional Measurement
  • Complete missing assignments (all classes)

Thursday (2nd Period)

  • Eduphoria!  Online Testing
    • DIA 4:  Constructions and Two-Dimensional Measurement

Friday

No School – Teacher Duty Day

Assignments Due

Summative

  1. DIA 4:  Constructions and Two-Dimensional Measurement – due Tuesday, March 6th (7th & 8th Periods) / due Thursday, March 8th (2nd Period)

Formatives

None

Additional Resources