Georgia Performance Standards for This Topic:

MM1G1. Students will investigate properties of geometric figures in the coordinate plane.
a. Determine the distance between two points.
b. Determine the distance between a point and a line.
c. Determine the midpoint of a segment.
d. Understand the distance formula as an application of the Pythagorean
e. Use the coordinate plane to investigate

MM1G3. Students will discover, prove, and apply properties of triangles,quadrilaterals, and other polygons.
a. Determine the sum of interior and exterior angles in a polygon.
b. Understand and use the triangle inequality, the side-angle inequality, and the
exterior-angle inequality.
c. Understand and use congruence postulates and theorems for triangles (SSS,
d. Understand, use, and prove properties of and relationships among special
quadrilaterals: parallelogram, rectangle, rhombus, square, trapezoid, and kite.
e. Find and use points of concurrency in triangles: incenter, orthocenter,
circumcenter, and centroid.


Day 1: Students will learn constructing a segment of length √x by using compass and straightedge.

Word document for day 1: word document

Day 2 : Students will apply Pythagorean Theorem to calculate the length of the segment and answer exercise questions.

Word document for day 2:word document

Day 3 : Students will learn how to construct a segment with a length of (1+√5)/2 which is equal to the Golden Ratio.

Word document for day 3:word document

Day 4 : Students will construct a regular pentagon with a side of 1 unit.

Word document for day 4:word document

A GSP demonstration for regular pentagon with a length of 1 unit: Regular Pentagon