Math 310 / CSUN/ Fall 2009 Instructor: Dr. B. Onzol Time: 1h 15min. Lecture 1 1. Measurement problems Points, lines and segments o Fundamental principals: 1. Through any two different points there is one and only one line. 2. If two different lines intersect, their intersection is a single point. o Notation in geometry o Collinear and non-collinear points Basic tools in geometry Length measurement facts: 1. Collinear measurement. Lengths along a line add. (This is the measurement model interpretation of addition). 2. Non-collinear measurement. In any triangle, the length of the longest side is less then the total length of the other two sides. (Triangle inequality) 2. Measuring length Units of length o Metric system o Customary system 3. Measuring weight and capacity Measurement procedure: o Choose a standard unit. o Express measurement as multiples of that unit. Measurement systems Teaching sequence for measurement. 4. Basic terms: Point Line Ray Segment Plane Collinear points Non-collinear points Midpoint Bisector of the segment 5. Homework: study sections 1.1, 1.2, and 1.3. Solve problems from pages: 5, 6, 10, 11, 17.