The equation of a circle. Students derive the equation of a circle using the definition of the circle and the Pythagorean Theorem. The definition of slope. The equation of a line - different forms. Horizontal and vertical lines, parallel and perpendicular lines.
Students prove that the slopes of perpendicular lines are negative reciprocals.
Part of the value of looking at the particular proof which is outlined in the exercises is in labeling and reading graphs. Some selected assignment problems. The Definition of a function Definition as a rule of correspondence between 2 sets. Definition of domain and range. Lots of practice with functional notation.