Wednesday, December 21, 2011

Friday, December 9, 2011

Quadratics

For the quadratic functions we will be using books with a more investigative focus.  After each investigation we will summarize the results and I will collect the "Check Your Understanding" to check your understanding.

Day 1  Investigation 2/all pp.332-334
              HW pp.346-357/A 7-10; C 17; R 28,29; Rv 43-45, 4
Day 2  Investigation 3/1-7 pp.336-337  HW see day 3
Day 3  Investigation 3/8-12 pp.337-339
               HW pp.348-358/A 11,12; C 18-23; R 30; E 37,38; Rv 48-50
Day 4  Investigation 4/1-5 pp.340-342  HW see day 5
Day 5  Completing the square and Investigation 4/6-9 pp.342-343
               HW pp.348-358/A 13-15; R 31, 33; E 39, 40; Rv 51, 52

On the 6th day we will add a few things that are not in the book (vertex form and quad regression).
On the 7th day we will review techniques for factoring and solving.
On the 8th day, there will be a quiz.  This will probably be the last day before vacation. The quiz should only take half the block, then we can play a game.

Since I am not issuing textbooks for this unit, I have uploaded the pdf of the unit into the conference.  You don't have to go online, you can just use that. Or download it from here. (Note: If there are contents links on the side, you may not be able to click on them - use actual page numbers at the top).

Sunday, December 4, 2011

The reflection

Our analysis of 3D systems using rref led to several different results - more than we saw when using rref on 2D systems.  Of course, in 3D, more things can happen - as you saw from your brainstorming with your three "planes".  I would like you to write a reflection of the similarities and differences between systems of equations and their rref matrices in 2D and 3D.  This should come after your final analysis of the systems on the worksheet.  With 2D we knew which systems were consistent, inconsistent, and dependent from their rref matrices and what the system looked like when the lines were drawn.  Were you able to do the same with your 3D systems?