Tuesday, March 5, 2013

Polar Coordinates

This is a quick but interesting unit on another way of describing the location of points in space.  It is a somewhat surprising application of trig that can also be used to work with complex numbers.  The schedule is plagued by holidays and MCAS but we will work around it as best we can. Polar coordinates are covered in the Demana book in sections 6.4-6.6 and in the Brown book in Chapter 11.  I am using Day1 notation rather than dates because the E-Block and G-Block sections will be off (due to the half day - but not if there is a snow day on the 7th!).

Day 1    Intro to Polar  CW Brown p.400-402/1-11 odd
            HW Demana p.492-493/5,6,23-30,52-54,61,63
Day 2    Converting equations and graphs (polar <=> rectangular)
            HW D p.500-502/5,7-13,17,21,23,45,49,53,55
Day 3    Parametric Equations 
            HW B p.437-439/23-29, 39, 40
Day 4    Parametric Equations some more
            HW Worksheet
Day 5    Cylindrical & Spherical Coordinates  

            HW Worksheet
Day 6    cis, Products of Complex Numbers
            HW B p.406-407/10, 12, 15, 17, 24-31 and D p.512/63 (derive Quotient Rule)
Day 7    Powers and Roots of Complex Numbers (De Moivre's Theorem) 
            HW
B p.410-411/4,5,9-14 and p.413/5,6,8,11-13
Day 8    Extra Practice 
            HW finish worksheet
Day 9    Review
Day 10  Polar Test (could be 3/25 for E-Block, 3/26 for G-Block, neither date is optimal - see below)


Important Dates
3/07  Professional Development Half-Day C B H F
3/19  MCAS Day 1 (Hr G H B)
3/21  MCAS Day 2 (Hr G H A)
3/22  MCAS Day 3 (D E F B C)
3/25  1st night of Passover
3/26  2nd night of Passover
3/28  End of Term 3
3/29  Good Friday - no school