How to find the vector and parametric equations of a line when given two points on the line.
How to mark parallel lines, how to show lines are parallel, and how to compare skew and parallel lines.
How to write the parametric equations of a line segment that goes from point A to point B.
How to identify parallel lines, a line parallel to a plane, and two parallel planes.
How to take the converse of the parallel lines theorem.
How to find the angle of inclination of a line.
How to determine whether two lines in space are parallel or perpendicular.
How to write the vector equation of a line.
How to find the polar equation of a line through the origin (or pole).
How to write equations describing motion in a straight line given the velocity and the position when t=0.
How to understand what vectors are, and how they can be represented geometrically.
How to convert the rectangular coordinates of a point into polar coordinates.
How to sketch a simple polar curve by plotting points.
How to graph y = f(x ? h) when f(x) = sqrt(x), and what kind of transformation to expect.
How to identify the graph of a stretched cosine curve.
How to derive the formula for the midpoint of a segment in three dimensions.
How graph the cotangent function using five key points.
How graph the secant function using five key points.
How to graph the transformation y = a f(x) + k when f(x) = abs(x).
How to plot complex numbers on the complex plane.