February 8


section covered in text
Appendix B.  Coordinate Geometry (continued)

objective
to review basic facts of coordinate geometry and conic sections

key ideas and/or vocabulary
regular coordinate system (Cartesian plane), R , quadrants, graphing inequalities, distance formula, circles, completing the square, slope, point-slope form, slope-intercept form, linear function, intercepts, parallel and perpendicular lines, conic sections (parabolas, ellipses, hyperbolas)

solved problems - using key ideas

#12,24.  finding equations of lines
#26.  slope and intercepts
#34,36.  sketching graphs of inequalities
#40.  finding equation of circle using "completing the square"
#46,52.  linear function in application
parabola,  basic formula,  how do we find the location of the vertex?, is the parabola opened up or down, sideways?
ellipse, basic formula, how do we locate the center, length of major and minor axis?
hyperbola, basic formula, what is the point around which the hyperbola is centered?, what are the asymptotes?, in what direction are the branches open?
#60.  sketching regions bounded by curves  (graphing calculator)
 

group work
none

announcements
Homework.  #2,4,14,20,34,44,48 (due 2/19)

section covered in text
Appendix C.  Trigonometry

objective
to review basic facts of trigonometry

key ideas and/or vocabulary
radians, arc length, even and odd functions, trigonometric identities (especially the addition formulas), inverse trigonometric functions, composition of trigonometric functions, solving trigonometric equations and inequalities, laws of cosine and sine

Know how to use the calculator to help solve trigonometric equations, inequalities and how to find the domain of the inverse trigonometric functions

solved problems - using key ideas
#5,6.  using radians to find arc lengths
#13.  given one trig ratio, find the remaining ratios

group work
none

announcements
Homework.  #14,30,36,42,48
 
 
 
 
 
 
 
 
 
QUESTION OF THE DAY
Use your graphing calculator to sketch the region between the curves
y=.5x(x - 1)
y=-.5(x + 1)(x - 3)(x + 2).
Hint.  You need to find the 3 points of intersection.
  SOLUTION

 

 Return to Class Notes Menu

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
SOLUTION. 

 
 Return to Class Notes Menu