Class on 1/15/2017

Instructor:	Mr. Ahmed Hefny
Attendance:	Ayaan, Aiden, Omar
Material Covered:	Pre-Algebra Chapter 10
Problems Solved in Class:	Chosen exercises from chapters 9 and 10
Concepts:	* Review on square roots. * Angles:      - Plane Geometry as an example of axiomatic method.      - Difference between a definition, an axiom and a theorem.      - Points, line segments, rays, lines, angles.      - Highly composite numbers and why we use 60 minutes and 360 degrees.      - Complementary angles, supplementary angles and vertical angles.      - Angles and parallel lines. Remember these 3 patterns:      - Interior angles of convex polygons.          -- Sum of interior angles of a polygon with n vertices.
Student Difficulties:
Homework:	Chapter 10: Please watch the videos and make sure you can solve example problems. Chapter 9: . Solve exercises: 9.2.8,9.3.9. . Solve review exercises: 9.43,9.63 Chapter 10: . Solve review exercises: 10.24, 10.28, 10.37, 10.38, 10.39
Notes:	If you are curious, this website provides a nice exposition of Euclid's Elements. As you can see, everything is based on 10 axioms (called postulates or common notions) from which theorems (called propositions) are derived. The parallel line axiom we discussed today is postulate 5 but is stated a bit differently. Can you see how postulate 5 implies what we said in class ?