- Know what it means to be a function and how to tell if a curve is the graph of a function.
- Decide if a function is onto, 1 to 1, invertible.
- Find the domain and range.
- Find the inverse of a linear function.
- Lines
- Go back and forth between formula and graph.
- Be able to idntify quantities like slope and intercepts.
- Determine whether a line passes through a particular point.
- Find coordinates of the point where two lines intersect.
- Go back and forth between formula and graph.
- Circles
- Go back and forth between formula and graph.
- Be able to identify the center and radius of the circle.
- Know area and circumference of circle.
- Know how to find area of a sector or arc length of an arc.
- Go back and forth between formula and graph.
- Rectangles
- Compute area, perimeter and length of a diagonal of a rectangle.
- Compute area, perimeter and length of a diagonal of a rectangle.
- Triangles
- The three angles of a triangle add up to
.
- Three angles do not determine a triangle, you can rescale.
- Given one side length and two other pieces of information (side lengths or angles) determine if there are 0, 1, or 2 triangles that have that information and be able to find all the remaining sides/angles.
- Calculate area and perimeter.
- The three angles of a triangle add up to
- Polygons
- Calculate the area of any regular polygon with given side length by cutting it into triangles.
- Calculate the area of any regular polygon with given side length by cutting it into triangles.
- Trig Functions
- Go back and forth between graphs of sine, cosine, or tangent and their formulas.
- Identify quantities like period, amplitude, phase shift, and vertical shift.
- Go back and forth between graphs of sine, cosine, or tangent and their formulas.
- Be able to express a point on the unit circle in coordinates in terms of trig functions.
- Know definitions of the trig functions, domains, ranges, periods.
- Given an unkown angle
, be able to express any trig function of 
for any 
in terms of 
and 
.
- solve equations which are linear or quadratic in
or 
or 
.
- Use trig identities to get equations into a form that you can solve
- Compute magnitude and direction of a vector
- Compute sum of two vectors, scalar product of a number and a vector, dot product of vectors
- A vector with magnitude
and direction 
can be written 
- Find a unit vector that has same direction as a given vector
- find the angle between two vectors and decide if two vectors are orthogonal to each other
- calculate the projection of one vector to another
- convert between trigonomectric and rectangular form
- perform multiplication and division of complex numbers in trigonometric form
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Date: 2008/12/10 15:25:03