The schedule seems to have realligned...

SNOW DAY UPDATE (see below)

Since things seems to have realligned, here is the rest of the polar coordinate schedule, now with dates. The test is scheduled for the day after the first night of Passover.  I know this will be a problem for some of you so please see me early to make arrangements if you cannot take the test that day.

3/15     Cylindrical & Spherical Coordinates  

            HW Worksheet

3/18        cis, Products of Complex Numbers

              HW B p.406-407/10, 12, 15, 17, 24-31 and D p.512/63 (derive Quotient Rule)
3/19       SNOW DAY  
3/20 (E)  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
3/21 (G)  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

3/22 (E)   Extra Practice HW finish worksheet

3/25 (G)  Extra Practice HW finish worksheet

3/25 (E)   Review
3/26 (G)   Review
3/26 (E)   Polar Test
3/27 (E)   Extra Complex Problems3/28 (G)   Polar Test

Important Dates

3/21  MCAS Day 1 (Hr G H A)

3/22  MCAS Day 2 (D E F B C)

3/25  MCAS Day 3 and 1st night of Passover

3/26  2nd night of Passover

3/28  End of Term 3

3/29  Good Friday - no school

Parametric Addendum

Given that it was tough giving Parametric equations enough time in class, I am changing the first assignment on parametrics to section 12.3 of the Brown book.  Do the following problems on pages 437-439/23-29, 39, 40.  This is our new Day 3.

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

Sum and Difference Links

There are several resources to view proofs of the angle addition and angle subtraction identities.  Look them over and make sure you understand them.  You will be required to prove some of the basic identities on your test and the proofs of these identities require diagrams which may not occur to you during a test situation if you haven’t thought about them before.

Demana Precalculus 5.3 page 421 (a distance formula based proof)

Brown Advanced Math 10.1 p.369 (a law of cosines based proof)

Mr. Richardson’s PowerPoint presentation

            download here

Another website with very elegant triangle proofs:

            http://www.cut-the-knot.org/triangle/SinCosFormula.shtml  and

            http://www.cut-the-knot.org/triangle/SinCosFormula2.shtml (beautiful!)

Trig Identities

Lots of Proofs this unit! We start with simplifying practice and then jump in.

Note: We will be using the Demana book for most, but not all, of the assignments.

2/12   Trig Identity basics

          HW D p.410-411/3-60 by 3's, 69-73 odd

2/13   Simplifying for a solution

          HW D p.411-412/52-62, 75-82, 85

2/15   Proving Trig Identities

          CW D p.418/11-33 odd

2/16 - 2/24 February Vacation

2/25   Recap and More Practice with Trig Identities

          HW D p.418-419/35-51 odd, 52-60, 71

2/26   Review all, Sum and Difference Formulas

          HW D p.425-427/3,5,7,13,17,21,27,29,31-35,37,43,45,47,48,52,55,73

2/27   Double Angle, Half Angle and Power Reducing Formulas

          CW B p.374/39-41, p.385/45-47

          HW D p.432/3-30 by 3's, 39-45 odd, 53

3/01   Review and Extension Problems  CW Worksheet

          HW B p.384-385/3, 5, 52, 53 and p.390-391/23, 26-28, 43, 44

3/04  More Practice
3/05  Trig Identities Test

Dealing with the Test/Snow Day

The test will happen on Monday, February 11th due to the snow day.   You may email me this weekend if you have questions.

Geometric Trig

Post-test homework was to do the area and identity worksheet. We continue with the more geometric applications of trigonometry. For this unit we will use primarily the Brown book.

1/28  9.2  Area Formula and applications

                HW p.342-344/1-19 odd, 20-22, 35, 36

                (p.344/34 is a bonus problem - turn it in for extra credit)
1/29  9.3  Law of Sines

                HW p.347-349/1-27 odd

1/30  9.4  Law of Cosines

                HW p.352-354/1-17 odd, 22

2/01  9.1 - 9.4  Mixed Trig Problems

                HW p.337/31-33, 37;  p.349/28;  p.354/23 and p.356-358/11,14,18,21,24,25

2/04  9.4  Mixed Trig Problems

                HW p.357-358/29-37
2/05  9.4  Mixed Trig Problems
                HW p.358/38, 39, 40, 42

2/06  Review and Extension Problems (Practice Test/Answer Key)

2/08  Test of Geometric Trig

The Geometric Trig test will have questions that require a full understanding of the trig area formula, the Law of Sines, and the Law of Cosines. There will be one problem (chosen by me) from the "C" problems on page 358 (not 41 or 43). I have not assigned every problem in the unit but notice that after you finish these problems you should be able to find the area, the sides, the angles, the length of the median/angle bisector/altitude, and the radii of the inscribed and circumscribed circles for any triangle - among other things.