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Georgia:
All of Unit 5
Unit 5-1: Surface Area (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.G.GMD.1 : Give informal arguments for geometric formulas. (a) Give informal arguments for the formulas of the circumference of a circle and area of a circle using dissection arguments and informal limit arguments.

Video Lessons: (
p1, p2, p3a, p3b, p4, p5)

Area & Volume Formula Sheet (Doc, PDF)

Sample Quiz: (Interactive, PDF)

Unit 5-2: Volume of Prisms and Cylinders (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.G.GMD.1 : Give informal arguments for geometric formulas. (a) Give informal arguments for the formulas of the circumference of a circle and area of a circle using dissection arguments and informal limit arguments. (b) Give informal arguments for the formula of the volume of a cylinder, pyramid, and cone using Cavalieri’s principle.

MGSE9-12.G.GMD.2: Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.

MGSE9-12.G.GMD.3:Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

Video Lessons: (
p1, p2, p3, p4)

Sketchpad: Volume Layers Demonstration (gsp file)

Area & Volume Formula Sheet (Doc, PDF)

Sample Quiz: (Interactive, PDF)

Unit 5-3: Volume of Pyramids and Cones (Doc, PDF, Key)
Georgia Standards (Click to Expand)

MGSE9-12.G.GMD.1 : Give informal arguments for geometric formulas. (a) Give informal arguments for the formulas of the circumference of a circle and area of a circle using dissection arguments and informal limit arguments. (b) Give informal arguments for the formula of the volume of a cylinder, pyramid, and cone using Cavalieri’s principle.

MGSE9-12.G.GMD.2: Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.

MGSE9-12.G.GMD.3:Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

Video Lessons: (
p1, p2, p3, p4)

Sketchpad: Cavalieri Principle, Sphere Volume Proof

Area & Volume Formula Sheet (Doc, PDF)

Sample Quiz: (Interactive, PDF)

Unit 5-4: Geometric Modeling (Doc, PDF, Key)
Georgia Standards (Click to Expand)
MGSE9-12.G.MG.1:Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

MGSE9-12.G.MG.2 :Apply concepts of density based on area and volume in modeling situations(e.g., persons per square mile, BTUs per cubic foot).

MGSE9-12.G.MG.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).

Video Lessons: (
p1, p2, p3, p4, p5)

Sample Quiz: (Interactive, PDF)

TEST: Testing Item Banks for Exam View

(102 available questions for Unit 5)