Math 310 / CSUN/ Fall 2009
Instructor: Dr. B. Onzol
Time: 1h 15min.
Lecture 1
1. Measurement problems
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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.
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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
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Units of length
o Metric system
o Customary system
3. Measuring weight and capacity
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Measurement procedure:
o Choose a standard unit.
o Express measurement as multiples of that unit.
Measurement systems
Teaching sequence for measurement.
4. Basic terms:
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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.