Geometry Relationships and Measurement of Area

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Georgia Performance Standards
(for more information visit www.georgiastandards.org)

M5G1 Students will understand congruence of geometric figures and the correspondence of their vertices, sides, and angles.
M5M1Students will extend their understanding of area of fundamental geometric plane figures.
a. Estimate the area of fundamental geometric plane figures.
b. Derive the formula for the area of a parallelogram (e.g., cut the parallelogram apart and rearrange it into a rectangle of the same area).
c. Derive the formula for the area of a triangle (e.g. demonstrate and explain its relationship to the area of a rectangle with the same base and height).
d. Find the areas of triangles and parallelograms using formulae.
e. Estimate the area of a circle through partitioning and tiling and then find the area of a circle with formula (let pi = 3.14). (Discuss square units as they apply to circles.)
f. Find the area of a polygon (regular and irregular) by dividing it into squares, rectangles, and/or triangles and finding the sum of the areas of those shapes.